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Open Access 15-09-2023 | Original Paper

Anxiety about the pandemic and trust in financial markets

Authors: Roy Cerqueti, Valerio Ficcadenti

Published in: The Annals of Regional Science | Issue 4/2024

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Abstract

The COVID-19 pandemic has generated a novel context of global financial distress. This paper enters the related scientific debate and focuses on the relationship between the anxiety felt by the population of a wide set of countries during the pandemic and the trust in the future performance of financial markets. Precisely, we move from the idea—grounded on some recent literature contributions—that the volume of Google searches about “coronavirus” can be considered as a proxy of anxiety and, jointly with the stock index prices, can be used to produce indicators of the population mood—in terms of pessimism and optimism—at country level. We analyse the “very high human developed countries” according to the Human Development Index plus China and the main stock market indexes associated with them. Namely, we propose both a time-dependent and a global indicator of pessimism and optimism and classify indexes and countries accordingly. The results show the existence of different clusters of countries and markets in terms of pessimism and optimism. Moreover, specific regimes emerge, with optimism increasing around the middle of June 2020. Furthermore, countries with different government responses to the pandemic have experienced different levels of mood indicators, so countries with less stringent lockdown measures had a higher level of optimism.
Notes

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1 Introduction

The world has experienced the rapid and dramatic widespread of COVID-19 (Li et al. 2020; Zhu et al. 2020)—a pandemic generated by a coronavirus—with millions of infected and a large number of deaths. Beyond the sanitary aspects of such an infectious disease, one of the main concerns experienced by communities regards the economic impact of the measures taken for contrasting the virus (see, for example, Siddique et al. 2022, where authors have analysed the role of regional poverty during the COVID-19 pandemic in the USA).
The financial distress we have observed in the international stock markets—whose entity has been much more evident during the so-called first wave of the pandemic, in the period February–June 2020, can be reasonably interpreted also through the anxiety of the people, whose worries for the pandemic affected the expectations of financial markets’ future performance.
The term anxiety in our setting demands some words to contextualise its meaning. For us, anxiety (for the pandemics) stands for a feeling of worry and/or fear about the future uncertain evolution (of the pandemics). In this respect, anxiety is, for us, synonymous of fear and worry. It consequently generates pessimism, i.e. the tendency to feel that the most negative scenarios (in the context of the pandemic, in our case) will occur. Conversely, a positive view of the future is associated with optimism.
This paper enters this debate. Specifically, it explores how the anxiety expressed by the population about COVID-19 mirrors the strategies of investing/disinvesting capital in financial markets, here represented by major stock market indexes. In particular, we discuss the relationship between anxiety about COVID-19 and the view of financial markets, aiming to investigate optimism and pessimism.
Consistently, we focus only on the first wave of the pandemic; indeed, empirical evidence suggests that financial distress is remarkably evident at the beginning of COVID-19 diffusion (see, Deb 2021where a focus on the industry of airlines is presented). The analysis deals with the country-level moods relaying on Zimmermann et al. (2020)’s conclusions that human factors should be monitored and considered at the outbreak in such a globalised world. We explore the relationship mentioned above for a large set of countries to derive the different behaviours of the populations. Fetzer et al. (2021) and Binder (2020) are remarkably relevant for contextualizing our study. The authors discuss the economic anxiety stemming from the coronavirus. Binder (2020) conducts a survey study of over 500 US consumers and shows that the serious concern about coronavirus implications leads to pessimistic expectations about macroeconomic turnaround via deterioration of the economic fundamentals. Fetzer et al. (2021) complement Binder (2020)’s perspective by also including the time dimension and the causal effect of the pandemic on the increased economic anxiety. The methodological ground of Fetzer et al. (2021) lies in the meaningfulness of Google Trends data, which is assumed to give in-depth information on the development of anxiety in the specific context of the economic outcomes (for additional supportive pieces of evidence that relates web searches and population anxiety see Rovetta and Castaldo 2020; Monzani et al. 2021; Halford et al. 2020). We adopt Fetzer et al. (2021)’s view and hypothesise that anxiety about COVID-19 is proxied by the irrepressible persistence of related web searches (on the significance such a type of data, see Cinelli et al. 2020; Choi and Ahn 2020 in the former an analysis of the infodemic is presented, in the latter the Google Trends data are used in an influenza spread forecast model). In so doing, we also follow Mertens et al. (2020), where a survey-based study over a large number of respondents confirms that media exposure and online searches are good predictors of the increasing fear of coronavirus (in this, see also the review paper by Garfin et al. 2020). Additionally, in Hisada et al. (2020), the authors have underlined the relevance of online searches in predicting emerging COVID-19 clusters of infections.
In detail, we collect and compare two datasets over the same reference period, from January 6, 2020, to June 19, 2020. On one side, we consider the daily Google Trends data. Specifically, we examine the search volumes of the word “coronavirus” along with its translations for different countries’ most spoken languages. Data retrieved at a country level allow for sounding out similarities and discrepancies in the search for information practised by users in need of awareness. In our approach, such compulsive searching is intended as a proxy for the anxiety generated by the pandemic. On the other side, we consider the daily levels of the main stock indexes, including companies related to the countries. The source of financial data is Eikon - Datastream (in line with studies such as Lewis and Bozos 2019, and Chizema 2010). In order to have a reliable and consistent dataset (in terms of countries’ features of interest), countries are chosen by using the Human Development Index (HDI) used by the United Nations Development Programme (UNDP) in the Human Development Report Office to rank countries on the basis of their human development. Specifically, we select areas with an HDI index greater than 0.8, calculated with the 2018 information. The choice of 0.8 as a threshold is appropriate because all countries with at least that level can be considered as “very high human developed countries” (see, UNDP 2019for additional information on the definition). It ensures a good enough level of connections between socio-financial entities within the countries. Namely, it guarantees the incorporation of the necessary links between citizens’ cognitions of the problems, ability to get informed about them, access to the relevant resources and financial strategists presence (this choice is in line with the findings presented in Chundakkadan and Ravindran 2020about the relevance of the access to online sources to increase the response capacity of a country). Indeed, the starting point of our study is that the data on Google Trends about searches offers a reliable description of how people search for information in a given country. This statement is valid where access to the web is widespread and granted to citizens. Therefore, it is not valid for less developed countries such as those classified as “Low human development” in UNDP (2019), where a large portion of the population has poor internet access for causes such as lack of infrastructure, devices or limited digital literacy. Thus, including all the world’s countries would lead to a biased analysis, with some underdeveloped countries represented by the “privileged club" of people living at the highest standards. Therefore, taking the subset of countries corresponding to those under the locution “very high human developed countries” makes the analysis less biased and more rigorous. We add China, which is ranked below the 0.8 threshold – specifically, 0.75, to such a list of nations. We reasonably do so because China is central to the phenomenon under investigation. Moreover, the countries without data on stock exchanges in our source, Datastream, have been obviously excluded from the list.
Our work departs from Fetzer et al. (2021) in two keys respects: first, the quoted paper deals with topics detected in Google Trends, and we deal with one crucial word, “coronavirus”. In so doing, we have a translation task to face, as acknowledged by Fetzer et al. (2021). Nevertheless, the use of one word allows us to obtain intuitive results and is far from being restrictive in our context (we are also in line with Baig et al. 2020; Goodell and Huynh 2020). Indeed, a preliminary inspection of the Google Trends data shows that the considered word is the most relevant related to the studied pandemic; second, the quoted paper directly derives information about economic anxiety from Google Trends. Differently, we here start from the idea that the anxiety is manifested through the Google searches of the word “coronavirus” (and its translations); in doing so, we differ from Chundakkadan and Ravindran (2020), and we are in line with Bento et al. (2020) where such a keyword is employed. After that, we move to stock indexes’ performances to assess the links with financial markets and with the trust in them.
Indicators synthesising the considered time series have been suitably introduced in this work to offer a broad perspective on the connections between the variables. We conceptualise such indicators focusing on specific dates and offering global information on the entire reference period. All the proposed indicators range in the unitary interval [0, 1], making the comparative analysis of different countries possible.
Several interesting results emerge. Countries and stock indexes can be clustered in terms of their resulting mood during the first wave of the pandemic period. Regularities and deviations at individual week levels can also be identified. Moreover, the analysis of the daily variations of the levels of anxiety and trust in financial markets gives insights about countries’ behaviours in the period. A general trend of pessimism was concentrated in early, and mid-March 2020 when many countries adopted the lockdown, and the international community started to gauge the problem’s severity. A focus on some noticeable cases of hard and weak lockdown policies has also been presented. In this respect, countries with a stricter lockdown had a more persistent and higher level of pessimism.
The obtained findings can be placed in a wide literature strand on the pandemics’ effects on people’s moods. In this respect, we mention, e.g. Francisco et al. (2020); Hennessy et al. (2021); Kolakowsky-Hayner et al. (2021); Yuksel et al. (2021). However, to the best of our knowledge, the analysis proposed in the present study is the first one giving an overview of the mood of citizens for a large set of countries and proposing time-varying and global studies of such a mood. Indeed, for example, Francisco et al. (2020) restrict the analysis to children and adolescents whilst we consider the entire population in each country. The authors describe the case of three countries (Spain, Italy and Portugal) and explore only different ways to measure pessimism. From a different perspective, Hennessy et al. (2021) offer an analysis based on the music as a device for measuring the mood. The authors refer to the early phases of COVID-19 in India, the UK, the USA and Italy. They carry out an interesting study on a small sample of individuals. Kolakowsky-Hayner et al. (2021) insist on a gender-based analysis of the mood for 59 countries but offered aggregate results based on a small sample of individuals. Finally, Yuksel et al. (2021) deal with several countries and implemented a survey on the quality of sleep, certainly related to mood during the pandemic. Also, the sample is small in their case, which is utterly appropriate for a survey-based study.
The rest of the paper is organised as follows. Section 2 discusses some key contributions on the roots of the anxiety for a pandemic and its links with the stock indexes’ performance. Section 3 presents the employed dataset by also providing details on the data collection procedure. Section 4 illustrates the indicators used for the study. Section 5 outlines and discusses the analysis results. The last section concludes.

2 Literature review

The individuals’ behaviours, attitudes and choices are at the core of the interest of many scientific studies given that those are the ground for a deep understanding of the economic patterns; this is even more relevant when peculiar social settings occur, such as those realised as a consequence of the pandemic. For example, sadly, social interactions represented a threat in the context of a pandemic spreading, see, Xiong et al. (2020). In this respect, Bonacini et al. (2020) discusses the effectiveness of the lockdown policies in the paradigmatic case of Italy, while social distance and freedom restrictions are the basis of Qiu et al. (2020) and Venter et al. (2020), the former provides an exploration of the influence of contagion in nearby cities in China and the latter estimates the improvement in air-pollution deriving from actives reduction indirectly caused by the pandemic. The quoted papers suggest pointing attention to the evidence that several businesses require physical interactions among the involved actors—and such interactions have been reduced by the lockdown policies and by the natural attitude of people avoiding possible sources of contagion—while virtual connections allow another set of economic relevant activities, such as investing in financial markets. In Danisman and Tarazi (2020), the authors consider the “uncertain prospects after the COVID-19 pandemic” as a premise for including new financial technologies through fintech as a response taken in the financial sector. Zahra (2020) discusses the uncertainty of the post-COVID-19 world and the role of innovation activities in international entrepreneurship initiatives. Similarly, Dias et al. (2020) discusses changes in the online learning environment that is having disruptive innovations and changes worldwide.
In Oldekop et al. (2020), the authors remark that the global development paradigm is based on three main factors, and the first mentioned is “the interconnectedness of contemporary capitalism” across countries and its permeation with global development. This point constitutes the theoretical ground for understanding the increasing interest in financial markets’ performance and catastrophes. Goodell (2020) provides a brief discussion on the financial markets reactions to rare catastrophic events of non-financial nature. The author points the readers to the plausible parallelisms between pandemics and natural disasters, terrorist attacks and even nuclear conflict. Some features of the markets manifested in such cases have been outlined by Lyócsa and Molnár (2020), associating Google searches and S&P 500 returns and volatility. Less recently, Kaplanski and Levy (2010) elaborate on how aviation disasters can generate a decline in related stock prices. Goel et al. (2017) treat the special case of terrorist attacks exploring the vulnerability of financial markets to terrorist incidents. In general, empirical evidence proves that prices collapse in concomitance to rare and unexpected disasters (see, e.g. Barro 2006; Gabaix 2012; Gourio 2012). On the same line, but from a broader perspective, several authoritative studies highlight that anxiety and negative mood might increase investors’ risk aversion, hence leading to the collapse of stock prices (see, e.g. Ariel 1990; Kamstra et al. 2000, 2003; Cohen-Charash et al. 2013). Interestingly, in Ho and Wyer (2023), a focus on the relationship between risk-taking, optimism and pessimism is presented, and in Buchheim et al. (2022), referring to the German context, the authors state that “firms incorporate this sentiment [optimism and pessimism] regarding the shutdown duration in their more general business outlook”, confirming the conceptual framework according which the mood and the economics and financial expectations interacted, affecting each other during the pandemic.

3 Data1

We now present the employed data. As we will see in detail below, the considered dataset is associated with Google Trends and the stock indexes at the country level. As a premise, stock indexes data are not always available; moreover, some countries have regions and territories whose inhabitants have limited resources to gather information from the web. In these circumstances, the validity of the Google Trends data for the intended purposes is questionable because the detected volumes of searches may not be representative of the entire population but just of a set of more privileged citizens. To avoid such sources of bias and inconsistency, we focus on a qualified set of countries whose data provide a good description of the situation of their inhabitants. At this aim—and for providing a consistent analysis—we have used the Human Development Index (HDI) adopted by United Nations Development Programme (UNDP)’s Human Development Report Office as the criterion for selecting the countries to be investigated. Indeed, HDI is a composite index made of factors like life expectancy, education, per capita income indicators, and other relevant factors whose details are recollected in Ul Haq (1995) by Mahbub ul Haq, one of the two designers of the index. HDI is used to rank countries on the basis of human development. More specifically, we take all the countries defined as “very high human developed countries”, namely those having an HDI index greater than 0.8. The selection is based on data from 2018, Table 1 of UNDP (2019). China is added to the considered countries—even if the HDI of China is 0.75—because of its centrality in the COVID-19 propagation; the first known human infections were in China.
Employing Google Translate, the word “coronavirus” is translated from English to the equivalent word in the most used language in each of the considered countries. In so doing, we obtain the translations reported in Table 1.
The translated terms are employed to query the web search indicator from Google Trends. Namely, for each country, one looks for the index of search of the “coronavirus” translations in the language awarding the largest number of speakers. The period investigated captures the first wave of the pandemic; it goes from January 6, 2020, to June 19, 2020.
At the end of this process, one gets a time series matrix regarding 63 countries. In our analysis, we are interested in examining the Google Trend search indicator from the first day a relevant search volume is recorded in each country; i.e. on the first day in which Google Trends offers a non-null value for the translated terms. See columns one, two and three of Table 1 and Fig. 1 for an idea of the main trends in the data. The most noticeable point is the high volume of searches around mid-March 2020.
We associate at least one stock index with each country on the abovementioned list. Per each index, the closing prices are downloaded from Thomson Reuters Datastream. The period is the same adopted for collecting the Google Trends data (see Table 2 and Fig. 2) so that one has the same amount of data. Andorra, Bahamas, Barbados, Belarus, Brunei, Liechtenstein, Palau, Seychelles and Uruguay do not have a stock market index of reference in our data source, so we exclude them because we need to have data points for both the variables under consideration. The final list of considered countries contains 54 elements. Furthermore, we align the Google Trends and financial data so that the volume of web searches can be used in the analysis for each day in which prices are recorded. Indeed, as we will see, the indicators proposed in the paper are grounded on the joint observation of the Google Trends data and the stock indexes’ performance. Therefore, it is necessary to work on these two quantities considering only the days when Google Trends data and the stock indexes’ performance are registered and can be jointly elaborated. More than this, a biased and incomplete analysis would be the outcome of the study of only one of such factors. Hence, reducing the Google Trends data for having a shared time frame with the stock indexes’ performance ones lets the study be free of biases and suitable to pursue the intended aim. In this respect, we notice that Google searches data are available daily. In contrast, financial data are available only when the financial markets are open, i.e. during trading days, typically not on weekends or other special dates. This explains why the Google Trends data are reduced. As a reference for the number of observations, one can look at column “N. Obs.” in Table 2.
Table 1
Google Trends data. The table contains the country name, translation of “coronavirus” from English to the most used language in the respective country and a statistical summary of the related time series. The varying number of observations is due to the first day on which a positive value for search volumes is recorded
Country
Terms
N. obs.
µ
σ
Skew
Kurt
µ/σ
Andorra
Coronavirus
151
21.993
19.640
1.794
3.867
1.120
Argentina
Coronavirus
151
29.079
24.462
1.206
0.609
1.189
Australia
Coronavirus
151
26.735
22.690
1.207
0.306
1.178
Austria
Coronavirus
151
20.430
20.572
1.928
3.838
0.993
Bahamas
Coronavirus
155
22.303
20.927
1.528
2.039
1.066
Bahrain
ف ريوس كورونا
151
11.768
9.360
5.880
51.919
1.257
Barbados
Coronavirus
155
26.800
22.471
1.293
1.209
1.193
Belarus
каранавірус
148
1.973
11.097
7.449
58.031
0.178
Belgium
Coronavirus
151
23.669
21.221
1.243
0.912
1.115
Brunei
Koronavirus
149
3.651
17.847
4.746
20.878
0.205
Bulgaria
коронавирус
154
22.786
21.561
1.341
1.104
1.057
Canada
Coronavirus
152
25.039
22.082
1.398
1.268
1.134
Chile
Coronavirus
152
21.914
19.096
1.625
2.406
1.148
China
新冠 病毒
150
30.513
24.353
0.677
− 0.032
1.253
Croatia
Koronavirus
154
22.539
23.752
1.169
0.157
0.949
Cyprus
κορωνοϊόσ
115
13.322
21.840
1.587
2.013
0.610
Czech Republic
Koronavirus
150
18.880
20.863
1.877
3.188
0.905
Denmark
Coronavirus
154
20.994
20.459
1.595
2.090
1.026
Estonia
Koroonaviirus
163
17.773
22.791
2.068
3.554
0.780
Finland
Koronaviirus
152
12.974
15.485
2.597
10.577
0.838
France
Coronavirus
151
23.060
21.109
1.465
2.102
1.092
Germany
Coronavirus
152
22.296
19.562
1.411
1.765
1.140
Greece
κορωνοϊόσ
115
3.774
14.466
6.049
35.634
0.261
Hong Kong
新冠 病毒
154
32.175
20.736
0.780
0.649
1.552
Hungary
Koronavírus
151
26.543
24.531
1.189
0.361
1.082
Iceland
Kórónaveira
148
6.128
17.692
2.926
8.299
0.346
Ireland
Coronavirus
151
27.245
23.121
1.114
0.584
1.178
Israel
נגיף קורונה
154
29.182
21.834
1.166
0.811
1.337
Italy
Coronavirus
150
25.960
22.112
1.130
0.554
1.174
Japan
コロナウイルス
163
25.540
19.700
1.113
1.137
1.296
Kazakhstan
коронавирус
151
32.086
24.145
0.727
− 0.504
1.329
Kuwait
ف ريوس كورونا
151
12.695
10.626
3.974
29.089
1.195
Latvia
Koronavīruss
150
15.533
22.113
2.207
3.816
0.702
Liechtenstein
Coronavirus
151
19.927
15.596
1.817
5.039
1.278
Lithuania
Koronavirusas
159
23.572
26.291
1.369
0.775
0.897
Luxembourg
Coronavirus
153
22.529
21.246
1.482
1.884
1.060
Malaysia
Koronavirus
155
5.884
11.544
5.493
36.443
0.510
Malta
Koronavirus
146
4.192
14.699
3.795
15.588
0.285
Montenegro
вирус Корона
115
10.765
21.945
1.909
2.946
0.491
Netherlands
Coronavirus
152
23.072
22.431
1.236
0.857
1.029
New Zealand
Coronavirus
152
26.013
22.373
1.360
1.025
1.163
Norway
Koronavirus
150
11.373
22.099
3.053
8.220
0.515
Oman
ف ريوس كورونا
152
11.776
10.691
4.038
29.401
1.102
Palau
Coronavirus
150
17.420
21.531
1.012
0.542
0.809
Poland
Koronawirus
150
23.940
22.218
1.448
1.644
1.078
Portugal
Coronavírus
149
5.383
11.303
7.275
57.320
0.476
Qatar
ف ريوس كورونا
160
16.350
12.382
2.138
11.681
1.321
Romania
Coronavirus
151
22.338
22.240
1.513
1.619
1.004
Russia
коронавирус
151
16.762
15.348
1.776
5.187
1.092
Saudi Arabia
ف ريوس كورونا
149
12.409
12.271
2.984
16.307
1.011
Seychelles
Coronavirus
149
31.342
20.223
0.993
0.979
1.550
Singapore
新冠 病毒
148
23.757
18.333
0.892
1.760
1.296
Slovakia
Koronavírus
149
16.201
18.168
2.181
5.867
0.892
Slovenia
Koronavirus
152
18.901
20.257
1.743
2.969
0.933
South Korea
코로나 바이러스
152
8.967
16.827
3.654
13.159
0.533
Spain
Coronavirus
151
22.490
21.035
1.601
2.516
1.069
Sweden
Coronavirus
155
22.271
20.375
1.306
1.197
1.093
Switzerland
Coronavirus
151
22.093
20.035
1.472
2.050
1.103
Turkey
Koronavirüs
151
28.934
22.757
0.923
0.533
1.271
United Arab Emirates
ف ريوس كورونا
164
15.878
13.302
2.037
8.827
1.194
United Kingdom
Coronavirus
151
27.576
23.148
1.238
0.748
1.191
United States
Coronavirus
151
25.397
23.879
1.329
0.896
1.064
Uruguay
Coronavirus
151
19.570
20.028
1.809
3.270
0.977
Table 2
The statistical summary of the stock indexes’ closing prices is reported. The last four columns regard the normalized time series, according to Eq. (1)
Country
Index
N. obs.
µ
σ
µ\(_{\mathrm {{norm}}}\)
\(\upsigma _{\mathrm {{norm}}}\)
Skew\(_{\mathrm {{norm}}}\)
Kurt\(_{\mathrm {{norm}}}\)
µ\(_{\mathrm {{norm}}}\)/\(\sigma _{\mathrm {{norm}}}\)
Argentina
S&P MERVAL INDEX
109
35486.915
6392.100
72.598
13.077
− 0.399
− 0.920
5.552
Australia
S&P/ASX 200
109
5911.601
747.938
82.535
10.442
0.465
− 1.120
7.904
S&P/ASX 300
109
5871.308
746.514
82.512
10.491
0.451
− 1.122
7.865
Austria
ATX - AUSTRIAN TRADED INDEX
109
2430.447
451.639
75.656
14.059
0.602
− 1.060
5.381
Belgium
BEL 20
109
3329.824
468.996
79.313
11.171
0.510
− 0.971
7.100
Bulgaria
BULGARIA SE SOFIX
110
483.159
57.005
82.488
9.732
0.662
− 1.198
8.476
Canada
S&P/TSX COMPOSITE INDEX
110
15309.834
1702.964
85.320
9.490
− 0.070
− 0.765
8.990
S&P/TSX 60 INDEX
110
922.101
95.774
86.235
8.957
− 0.130
− 0.672
9.628
Chile
S&P/CLX IGPA CLP INDEX
110
19958.315
2275.439
82.770
9.437
− 0.061
− 0.485
8.771
China
SHANGHAI SE A SHARE
108
3019.785
91.141
93.812
2.831
− 0.056
− 0.572
33.133
SHENZHEN SE B SHARE
108
874.845
52.208
88.023
5.253
0.589
− 1.001
16.757
Croatia
CROATIA CROBEX
110
1695.045
214.439
82.471
10.433
0.577
− 1.112
7.905
Cyprus
CYPRUS GENERAL
83
50.145
5.027
76.969
7.715
2.246
3.667
9.976
Czech Republic
PRAGUE SE PX
108
924.318
115.479
80.871
10.104
0.376
− 0.834
8.004
Denmark
OMX COPENHAGEN (OMXC20)
110
1158.501
82.213
91.520
6.495
− 1.038
0.293
14.091
OMX COPENHAGEN (OMXC)
110
931.722
71.290
90.021
6.888
− 0.872
− 0.073
13.070
Estonia
OMX TALLINN (OMXT)
117
1191.718
118.272
86.711
8.606
0.021
− 1.203
10.076
Finland
OMX HELSINKI (OMXH)
110
8951.857
1069.305
83.364
9.958
− 0.048
− 1.037
8.372
France
FRANCE CAC 40
109
4926.751
683.725
80.618
11.188
0.532
− 1.070
7.206
SBF 120
109
3889.479
543.649
80.484
11.250
0.516
− 1.082
7.154
Germany
DAX 30 PERFORMANCE
110
11498.195
1463.513
83.387
10.614
− 0.023
− 1.031
7.857
MDAX FRANKFURT
110
24631.730
3074.107
83.909
10.472
− 0.102
− 1.037
8.013
PRIME ALL SHARE (XETRA)
110
4716.334
611.388
83.047
10.766
0.026
− 1.048
7.714
Greece
ATHEX COMPOSITE
83
619.443
62.320
76.348
7.681
0.483
0.903
9.940
FTSE/ATHEX LARGE CAP
83
1508.975
168.287
73.491
8.196
0.901
1.558
8.967
Hong Kong
HANG SENG
110
24983.880
1691.153
86.762
5.873
0.525
− 0.811
14.773
HANG SENG CHINA ENTERPRISES
110
10024.493
551.686
88.466
4.869
0.211
− 0.231
18.171
HANG SENG CHINA AFFILIATED CORP
110
3894.232
302.801
85.101
6.617
0.286
− 0.434
12.861
Hungary
BUDAPEST (BUX)
109
37429.623
4776.098
81.048
10.342
0.450
− 1.224
7.837
Iceland
OMX ICELAND ALL SHARE
106
1395.103
96.631
89.616
6.207
− 0.328
− 0.894
14.437
Ireland
ISEQ ALL SHARE INDEX
109
5918.513
831.809
81.577
11.465
0.249
− 1.153
7.115
Israel
ISRAEL TA 125
110
1427.398
154.637
84.756
9.182
0.114
− 0.792
9.231
Italy
FTSE MIB INDEX
108
19418.503
3093.527
76.218
12.142
0.658
− 1.027
6.277
Japan
TOPIX
117
1531.508
139.025
87.808
7.971
− 0.024
− 1.064
11.016
NIKKEI 225 STOCK AVERAGE
117
21131.002
2114.473
87.741
8.780
− 0.260
− 1.016
9.994
TSE SECOND SECTION
117
6170.147
774.153
82.443
10.344
0.229
− 1.201
7.970
Latvia
OMX RIGA (OMXR)
108
1003.015
54.737
94.273
5.145
− 1.477
1.249
18.324
Lithuania
OMX VILNIUS (OMXV)
115
695.252
47.960
92.656
6.392
− 1.025
− 0.131
14.497
Luxembourg
LUXEMBOURG SE GENERAL
110
482.199
95.839
72.382
14.386
0.760
− 1.002
5.031
Malaysia
FTSE BURSA MALAYSIA KLCI
111
1447.520
91.933
90.708
5.761
− 0.273
− 0.895
15.745
Malta
MALTA SE MSE
105
4165.910
324.601
88.641
6.907
0.598
− 1.311
12.834
Netherlands
AEX INDEX (AEX)
110
535.687
55.943
85.134
8.891
− 0.077
− 0.561
9.576
AEX ALL SHARE
110
765.096
83.728
84.605
9.259
− 0.025
− 0.706
9.138
New Zealand
S &P/NZX 50
110
4622.743
351.083
89.366
6.787
− 0.451
− 0.401
13.167
Norway
OSLO EXCHANGE ALL SHARE
108
876.964
98.544
83.512
9.384
0.132
− 0.898
8.899
Oman
OMAN MUSCAT SECURITIES MKT
110
3705.503
288.851
88.283
6.882
0.617
− 1.422
12.828
Poland
WARSAW GENERAL INDEX
108
48442.017
5980.053
82.655
10.204
0.315
− 0.984
8.101
Portugal
PORTUGAL PSI-20
107
4473.655
517.801
82.299
9.526
0.538
− 0.945
8.640
PORTUGAL PSI ALL-SHARE
107
1293.501
131.589
83.217
8.466
0.374
− 0.871
9.830
Romania
ROMANIA BET (L)
109
8725.098
922.946
85.375
9.031
0.272
− 1.180
9.454
Russia
RUSSIA RTS INDEX
109
1237.167
204.970
75.699
12.542
0.361
− 0.938
6.036
MOEX RUSSIA INDEX
109
2739.974
252.593
85.378
7.871
0.054
− 0.561
10.847
Singapore
STRAITS TIMES INDEX L
106
2741.389
281.596
84.610
8.691
0.638
− 1.057
9.735
Slovakia
SLOVAKIA SAX 16
107
342.573
14.839
94.204
4.081
− 0.188
− 1.647
23.085
Slovenia
SLOVENIAN BLUE CHIP (SBI TOP)
110
846.764
85.949
86.072
8.737
0.206
− 1.087
9.852
South Korea
KOREA SE COMPOSITE (KOSPI)
110
1989.641
187.604
87.756
8.275
− 0.563
− 0.192
10.606
KOREA SE KOSPI 200
110
266.169
24.970
86.961
8.158
− 0.319
− 0.510
10.659
Spain
IBEX 35
109
7729.301
1252.259
76.652
12.419
0.727
− 1.107
6.172
MADRID SE GENERAL (IGBM)
109
765.974
126.374
76.468
12.616
0.736
− 1.119
6.061
Sweden
OMX STOCKHOLM 30 (OMXS30)
111
1621.549
156.619
85.332
8.242
0.113
− 0.924
10.353
OMX STOCKHOLM (OMXS)
111
621.746
64.915
84.860
8.860
− 0.101
− 0.879
9.578
Switzerland
SWISS MARKET (SMI)
109
9889.044
736.210
87.801
6.537
− 0.042
− 0.310
13.432
Turkey
BIST NATIONAL 100
109
104932.181
10880.241
84.927
8.806
0.035
− 1.023
9.644
United Kingdom
FTSE 100
109
6286.916
736.578
82.606
9.678
0.515
− 0.950
8.535
FTSE ALL SHARE
109
3478.904
425.013
82.373
10.063
0.492
− 0.980
8.185
FTSE 250
109
17623.833
2586.914
80.597
11.830
0.401
− 1.037
6.813
FTSE TECHMARK FOCUS (£)
109
5226.403
573.801
85.119
9.345
− 0.100
− 0.668
9.108
United States
S &P 500 COMPOSITE
109
2958.381
282.570
87.367
8.345
− 0.373
− 0.505
10.470
DOW JONES INDUSTRIALS
109
25186.118
2723.498
85.228
9.216
− 0.057
− 0.677
9.248
NASDAQ COMPOSITE
109
8841.200
826.366
88.232
8.247
− 0.741
− 0.367
10.699
RUSSELL 2000
109
1379.807
202.794
81.353
11.957
0.090
− 1.086
6.804
NASDAQ 100
109
8871.472
773.012
87.886
7.658
− 0.732
− 0.243
11.477
NYSE COMPOSITE
109
11880.292
1407.200
84.037
9.954
0.178
− 0.895
8.443
Bahrain
MSCI BAHRAIN
109
88.203
17.119
76.635
14.874
0.658
− 1.358
5.152
MSCI BAHRAIN $
109
87.436
17.452
75.904
15.150
0.676
− 1.352
5.010
Kazakhstan
MSCI KAZAKHSTAN
109
502.812
83.111
75.749
12.521
0.409
− 1.129
6.050
MSCI KAZAKHSTAN U$
109
405.035
66.949
75.749
12.521
0.409
− 1.129
6.050
Montenegro
MONTENEGRO SE MONEX
83
10439.545
411.055
92.385
3.638
1.122
0.039
25.397
Qatar
MSCI QATAR
115
742.311
55.968
86.851
6.548
0.715
− 0.730
13.263
MSCI QATAR $
115
742.235
55.970
86.849
6.549
0.715
− 0.729
13.261
Saudi Arabia
MSCI SAUDI ARABIA
107
857.739
75.097
84.553
7.403
0.152
− 0.823
11.422
MSCI SAUDI ARABIA $
107
856.837
75.450
84.485
7.439
0.161
− 0.836
11.356
United Arab Emirates
MSCI UAE
118
280.885
40.723
81.191
11.771
0.394
− 1.410
6.897
MSCI UAE $
118
280.876
40.722
81.191
11.771
0.394
− 1.410
6.897
Kuwait
DJ Islamic Market Kuwait
109
658.603
80.377
83.045
10.135
0.610
− 1.235
8.194

4 Indicators

To face the problem, we design indicators that capture the connection between anxiety about the pandemic and the outcomes of financial markets. The underlying idea relates to the synchronicity between increments and decrements of Google searches and stock index levels so that increasing (decreasing) volumes of searches and decreasing (increasing) prices are associated with pessimistic (optimistic) moods. Thus, optimism and pessimism are measured by combining the analysis of Google searches and stock indexes’ performance. Namely, the connection between optimistic and pessimistic phases and the evolution of the financial markets are captured, including the assessment of bullish and bearish periods.
One intuitively expects the mood indicator to lean towards optimism during a bullish period (or towards pessimism in a bearish one). However, including the Google Trends index in our proposed indicators means that a bullish (or bearish) period can only be associated with optimism or pessimism after a jointly analysing financial performances and Google searches. This joint analysis provides a clear proxy for anxiety about the pandemic. This can be clarified further by looking at the formal presentation of the indicators below and reflecting on their functioning mechanism. The employed methodology can be described after some notation is introduced.
We denote the number of considered countries by J—and J is 54 for us, see Sect. 3—and label the generic country by \(j=1, \dots , J\). Each country is associated with K stock indexes. The number of stock indexes depends on the selected country, so one should write \(K=K(j)\). Such a dependence will be omitted when unnecessary i.e., when there is only one stock index of reference for that country. Often, \(K>1\)—i.e. most countries are associated with more than one stock index. However, there are cases of countries with \(K=1\). The generic stock index is \(k=1, \dots , K\).
As already discussed in Sect. 3, we have daily data on prices and Google searches of the word “coronavirus” (and its translations) in a common reference period of T days. For country j, we denote the available time series of the prices of the stock index k by \({\textbf{p}}_k^{j}=(p_k^{j}(1), \dots , p_k^{j}(T))\). Analogously, the sample of the Google searches for country j is \({\textbf{w}}^{j}=(w^{j}(1), \dots , w^{j}(T))\).
Notice that the range of variation of the components of \({\textbf{p}}_k^{j}\) and \({\textbf{w}}^{j}\) is different. Indeed, \({\textbf{p}}_k^{j}\) has non-negative components without a pre-defined ceiling, while the components of \({\textbf{w}}^{j}\) are integer numbers ranging in [0, 100], and there exists \({\bar{t}}\) such that \(w^{j}({\bar{t}})=100\). Time \({\bar{t}}\) represents the day with the maximum level of searches over the period [1, T] and depends on j. Also, such dependence will be conveniently omitted. The minimum value of the elements of \({\textbf{w}}^{j}\) is not necessarily null. Indeed, null search means the absence of interest for the considered word in the country j—i.e. null amount of Google searches; such an occurrence does not necessarily appear over the period [1, T]. Assigning value 100 to the highest daily magnitude of Google searches over [1, T] and null value to null searches allows a easy normalisation—implemented directly by the Google Trends proprietary algorithm—of the Google search data in the range [0, 100].
For facilitate comparisons, we impose the variation range [0, 100] also to the series \({\textbf{p}}_k^{j}\) for each j and k through a simple normalisation procedure. We denote the normalised series of the prices by \(\bar{{\textbf{p}}}_k^{j}\).
First, we identify \({\bar{t}} \in \{1, \dots , T\}\) such that \(p_k^{j}({\bar{t}})=\max \{p_k^{j}(t):t=1, \dots , T\}\). Then, we set \({\bar{p}}_k^{j}({\bar{t}})=100\). Null price is associated with zero value for the normalized series, so that we set \({\bar{p}}_k^{j}(t)=0\) when \({p}_k^{j}(t)=0\). Evidently, one can have \({p}_k^{j}(t)>0\) for each \(t=1, \dots , T\), so that one has \({\bar{p}}_k^{j}(t)>0\) for each t.
The entire series can be derived as follows
$$\begin{aligned} {\bar{p}}_k^{j}(t)=\left[ 100 \times \frac{{p}_k^{j}(t)}{p_k^{j}({\bar{t}})} \right] , \qquad \forall \, t=1, \dots , T, \end{aligned}$$
(1)
where \([\bullet ]\) is the integer part of the real number \(\bullet \).
The analysis and comparison of the normalised financial data and Google Trends index is performed at the country level. It is implemented by conceptualising suitable indicators that provide several insights into countries’ regularities and discrepancies as presented in the next sections.

4.1 Time-dependent indicators

We first propose an indicator based on the comparison between the time-dependent normalised accumulations of prices and Google searches. We consider \(t_1, t_2 \in \{1, \dots , T\}\) with \(t_1 \le t_2\) and define
$$\begin{aligned} A_j([t_1,t_2];k)=\frac{1}{2}\cdot \sum _{s=t_1}^{t_2} \left[ \frac{{\bar{p}}_k^{j}(s)}{{\bar{P}}_k^j}-\frac{w^{j}(s)}{W^{j}} \right] +\frac{1}{2}, \end{aligned}$$
(2)
where
$$\begin{aligned} W^j=\sum _{t=1}^{T}w^{j}(t), \qquad {\bar{P}}_k^j=\sum _{t=1}^{T}{\bar{p}}_k^{j}(t). \end{aligned}$$
By construction, it results \(A_j([t_1,t_2];k) \in [0,1]\). A high value of \(A_j([t_1,t_2];k) \) means that \([t_1, t_2]\) is a period accounting for a high percentage of the price of index k and a low percentage of Google searches—where percentages have to be intended in terms of the total amount on the overall period.2 Thus, \(A_j([t_1,t_2];k) \) close to one means that \([t_1,t_2]\) is an optimistic period. Differently, \(A_j([t_1,t_2];k)\) is close to zero when fraction of prices are relatively low, and Google searches of the word “coronavirus” are relatively high. In this case, \([t_1,t_2]\) is a time interval where country j has experienced anxiety about COVID-19 and a lack of trust in index k.
Notice that the case \(t_1=1\) and \(t_2=T\) is trivial and not interesting, being \(A_j([1,T];k)=1/2\) for each j and k—i.e. in the middle (fair) situation between optimism and pessimism. Indeed, [1, T] is the entire period, hence is associated with the full percentages of prices and Google searches. More reasonably, the proper selection of \(t_1\) and \(t_2\) allows exploring elements of the considered sample in relevant sub-periods.
At a country level, we can average the \(A_j\)’s in Eq. (2) with respect to the stock indexes. In particular, we define
$$\begin{aligned} A_j([t_1,t_2])=\frac{1}{K(j)} \sum _{k=1}^{K(j)} A_j([t_1,t_2];k). \end{aligned}$$
(3)
We observe that \(A_j([t_1,t_2]) \in [0,1]\), and all the comments reported above remain valid for the indicator presented in Eq. (3).

4.2 Global indicators

We here compare the considered series on the basis of the signs of their daily variations. Precisely, we assess how often an increase (a decrease) in Google searches is associated with a reduction (an increase) in the stock indexes prices. The entity of the daily variation is also taken into account.
Consistently with our framework, we refer hereafter to a generic series \({\textbf{x}}=(x(1), \dots , x(T))\), whose components range in [0, 100].
Thus, given a threshold \(\zeta \in [0,100]\) and \(t=1, \dots , T-1\), we define the series \({\textbf{x}}\) variation’s sign between t and \(t+1\) at the threshold \(\zeta \) as follows:
$$ \delta _{t}^{{(\zeta )}} ({\mathbf{x}}) = \left\{ {\begin{array}{*{20}l} {1,} \hfill & {{\text{if}}\;x(t + 1) - x(t) > \zeta ;} \hfill \\ {0,} \hfill & {{\text{if}}\; - \zeta \le x(t + 1) - x(t) \le \zeta ;} \hfill \\ { - 1,} \hfill & {{\text{if}}\;x(t + 1) - x(t) < - \zeta .} \hfill \\ \end{array} } \right. $$
(4)
The parameter \(\zeta \) is decided a priori; it represents the entity of the daily variation to be crossed for declaring that the series have an increase (or a decrease, by taking the variation with negative sign) from time \(t-1\) to time t. Evidently, the case \(\zeta =0\) leads to \(\delta _{t}^{(0)}({\textbf{x}})=1\) when \(x(t+1)>x(t)\), \(\delta _{t}^{(0)}({\textbf{x}})=-1\) when \(x(t+1)<x(t)\) and \(\delta _{t}^{(0)}({\textbf{x}})=0\) when \(x(t+1)=x(t)\).
The comparison between the behaviours of the Google searches and the stock indexes can be performed at the country level, employing the \(\delta \)’s defined in Eq. (4) and using the two series on interested instead of the generic \({\textbf{x}}\).
For each \(j=1, \dots , J\) and \(k=1, \dots , K(j)\), we compare the series \({\textbf{w}}^{j}\) with \(\bar{{\textbf{p}}}_k^{j}\).
We define
$$\begin{aligned} \Delta ^{(\zeta )}(t,j,k)= \delta _{t}^{(\zeta )}({\textbf{w}}^{j})-\delta _{t}^{(\zeta )}(\bar{{\textbf{p}}}_k^{j}). \end{aligned}$$
(5)
By definition, the \(\Delta \)’s in Eq. (5) can take values in \(\{-2,-1,0,1,2\}\). Such values have specific meanings to be mapped in the optimism and pessimism setting.
When \(\Delta ^{(\zeta )}(t,j,k)=-2\), then we observe a decrease in the Google searches related to “coronavirus” and an increase in the price of the stock index k. This case has a straightforward interpretation in terms of optimism. Indeed, people exhibit decreasing anxiety about the pandemic disease—they weaken the number of searches on Google—and simultaneously exhibit an increasing interest in investing in the stock index. The value -1 is associated with constant Google searches and an increase in the price or decreasing level of Google searches and an invariant price. The value 0 is related to the cases of identical behaviour between Google searches and price so that they can be invariant between date t and \(t+1\) or both can increase/decrease. The value +1 relies on an increasing level of Google searches and invariant price or a constant level of Google searches and decreasing price. The value +2 describes the situation in which Google searches grow and price decrease. This is the other corner case associated with pessimism, in which anxiety about the spread of the disease—mirrored by the growth of Google searches—is associated with decreasing investments in the stock index.
In general, the positive values of the \(\Delta \)’s describe situations of pessimism, captured by anxiety for the disease and decreased investments in the stock indexes. Conversely, the cases of negative \(\Delta \)’s are related to optimism, with decreasing interest in COVID-19 and growing attention to the future evolutions of stock indexes, investing in them.
Some indicators with high information content are derived from Eq. (5).
We measure the aggregated connection between the considered trends in Google searches and the price of stock index k in country j over the considered period by defining
$$\begin{aligned} H_j^{(\zeta )}(k)=\frac{1}{4(T-1)}\left[ \sum _{t=1}^{T-1} \Delta ^{(\zeta )}(t,j,k)+2(T-1)\right] . \end{aligned}$$
(6)
By construction, \(H_j^{(\zeta )}(k) \in [0,1]\). If such an indicator approaches zero, then people in country j tend to be at the highest level of optimism—in a sense expressed when the case of \(\Delta = -2\) was discussed—when analysing the Google searches of the considered word and its connections with stock index k. The converse situation appears when \(H_j^{(\zeta )}(k)\) is close to one, namely when we are in the presence of a high level of pessimism.
By averaging the \(H_j\)’s in Eq. (6) with respect to k, we obtain an indicator describing the mood at the country level for all the connections between the considered word searches and the prices of stock indexes, as follows:
$$\begin{aligned} H_j^{(\zeta )}=\frac{1}{K(j)}\sum _{k=1}^{K(j)} H_j^{(\zeta )}(k). \end{aligned}$$
(7)
Clearly, \( H_j^{(\zeta )} \in [0,1]\) and the arguments above—opportunely cascaded for a country level view—remain valid.
We now provide a measure describing how a country has experienced optimism versus pessimism. At this aim, we consider a ratio indicator as follows:
$$\begin{aligned} R_j^{(\zeta )}(k)=\frac{1}{2(T-1)}\left[ \sum _{t=1}^{T-1} {\textbf{1}}\left( \Delta ^{(\zeta )}(t,j,k)=2\right) -\sum _{t=1}^{T-1} {\textbf{1}}\left( \Delta ^{(\zeta )}(t,j,k)=-2\right) +T-1 \right] \end{aligned}$$
(8)
where
$$\begin{aligned} {\textbf{1}}(\bullet )=\left\{ \begin{array}{ll} 1, &{} \hbox {if} \bullet \hbox {is true;} \\ 0, &{} \hbox {otherwise.} \\ \end{array} \right. \end{aligned}$$
By construction, \( R_j^{(\zeta )}(k) \in [0,1]\). For country j and stock index k, there is a high percentage of optimistic days with respect to pessimistic ones as the value of such an indicator approaches zero, while we are in a substantial context of pessimism when the indicator in Eq. (8) is close to one. The corner cases have a clear interpretation: when \( R_j^{(\zeta )}(k) =0\), then all the days in the considered period present decreasing anxiety about COVID-19 coupled with increasing trust in the performance of stock index k; differently, \( R_j^{(\zeta )}(k) =1\) is associated with an entire period of increasing need of awareness on COVID-19 and decreasing price of stock index k.
Also in this case, we can focus on country j by averaging the \(R_j\)’s over the stock indexes:
$$\begin{aligned} R_j^{(\zeta )}=\frac{1}{K(j)}\sum _{k=1}^{K(j)} R_j^{(\zeta )}(k). \end{aligned}$$
(9)
Evidently, \(R_j^{(\zeta )} \in [0,1]\) and the discussion reported above applies also in this more general case.
The global indicators presented above capture two aspects of the phenomenon under analysis. \(H_j^{(\zeta )}\) and \(H_j^{(\zeta )}(k)\) provide information on moods as an average of \(\Delta \)’s over all the days of the considered sample. Differently, \(R_j^{(\zeta )}(k)\) and \(R_j^{(\zeta )}\) focus only on the dates where the daily variations of volumes of searches and stock index levels have had discordant behaviours. Namely, the indicators R’s offer more details on the ratio between entirely optimistic days and wholly pessimistic ones, i.e. intuitively, on the proportion of the days in which the Google searches have decreased, and the indexes’ prices have increased and those with an increase in searches and a decrease in prices.

5 Results and discussion

The normalised time series of the stock index prices are obtained via Eq. (1). The outcome of such normalisation is presented in Fig. 2, and the main statistical indicators of both original and normalised time series are shown in Table 2. The visual inspection of this Fig. 2 allows the reader to confirm the general trends of the stock markets, with a decline inducted by the incorporation of the pandemic effects of the first wave. Figure 1 and Table 1 show the increased Google searches of the translated “coronavirus” in different countries. The search activities started at a different time and with a general delay with respect to the decline recorded by the stock indexes.
As a preliminary comment, we notice that \(A_j\) in Eq. (2) and (3) compares the normalised values of Google searches and prices, while \(H_j\) in Eq. (6) and (7), and the \(R_j\) in Eq. (8) and (9) compare their daily increments and decrements. Thus, \(A_j\) offers a view on anxiety about COVID-19 and trust in stock markets; differently, \(H_j\) and \(R_j\) propose an evolutive perspective on the daily variations of the Google search and the stock indexes data, presenting insights on a synthesised version of the mood.

5.1 Analysis of the global indicators

In computing the index \(A_j([t_1,t_2];k)\) employing Eq. (2), we take \(t_2 - t_1\) constantly equal to five days, hence studying the weekly behaviour of the indicator. The outcomes per each stock index are summarized in Fig. 4 and Table 3. Moreover, the results of \(A_j([t_1,t_2])\) across the stock indexes of each country—namely, those in Eq. (3)—are reported in Fig. 5 and Table 4. From this view, some facts emerge:
  • The paths have drastically changed between the 7th and the 8th weeks of the year, namely between 17/02/2020 and 01/03/2020. During this period, the international community started to take the situation seriously despite the controversial statements of national governments’ heads. On 11/03/2020, WHO’s Director declared, “WHO has been assessing this outbreak around the clock, and we are deeply concerned both by the alarming levels of spread and severity, and by the alarming levels of inaction. We have, therefore, made the assessment that COVID-19 can be characterised as a pandemic.” WHO (2020).
  • Greece and South Korea have spent more than \(90\%\) of the analysed weeks in a quite positive mood, precisely reporting an \(A_j([t_1,t_2]) > 0.5\).
  • Cyprus and Iceland have experienced mild pessimism for quite a large number of weeks. They present \(A_j([t_1,t_2]) < 0.5\) at least \(40\%\) of the times in the studied period.
  • Weeks 10 and 11 are characterized by the lowest average of \(A_j([t_1,t_2])\). Their means across the countries are, respectively, 0.485 and 0.483.
  • The highest number of countries experiencing a \(A_j([t_1,t_2]) < 0.5\) is met on week 11. During 16/03/2020 - 20/03/2020, \(81\%\) of the analysed countries experienced a high volume of Google searches and low normalised prices. Therefore, a high level of pessimism is recorded. On the other hand, the tails (weeks 1-4 and 20-24) present a higher index level, with an increased presence of positivism in most countries during the most recent weeks.
In Table 5, the considered countries are week-wise ranked by using \(A_j([t_1,t_2])\). Montenegro holds the first position for five weeks. Similarly, Greece, Iceland and Malta usually sit in the first four positions. This outcome suggests that Greece, Iceland and Malta experienced waves of optimism and pessimism; interestingly, for the quoted countries, consecutive weeks may have a large discrepancy in the ranking positions. Thus, one can say that the waves are impulsive and compulsive—perhaps, they are driven by news on the pandemic or statements of the Governments- and this leads to sudden changes in people’s behaviour towards searching on Google and adjusting positions in the stock markets.
We also propose a focus on weekly rankings of some paradigmatic cases: Sweden, Iceland and South Korea—countries which experienced an “easy” lockdown, see Wikipedia (2020a, 2020b); Normile et al. (2020); Florida and Mellander (2021)—and Italy, UK, USA and China—which are countries that experienced harder lockdown. By inspecting Fig. 6, one can appreciate that the countries that have experienced an easier lockdown have spent more optimistic moods in recent weeks.
The results show some regularities in the behaviour across countries and indexes, as Figs. 4 and 5 testify. An initial phase of optimism was probably induced by sceptical statements from national governments and media agencies; in fact, the emergence has been underestimated by many people at its inception, see Colarossi (2020). Then, once the situation escalated, Google searches drastically increased (see Fig. 3), and the stock indexes reacted plausibly in the light of the lockdown policies implemented worldwide. The blue bands represent the raised pessimism in Figs. 4 and 5 in weeks 10–15. A general relief came in after that. In a few cases, the anxiety was boosted from the very beginning. This is clearly the case for Iceland, Malaysia, Malta, and, more mildly, for Singapore; see Fig. 5 and Table 5. Considering week 24th, the stock indexes and so the countries reporting the highest level of \(A_j\) from Eq. (3) are Greece, Iceland and Malta, with values 0.527, 0.524, 0.523, respectively. On the other hand, those having the lowest values are Montenegro, Bahrain and Singapore, with 0.508, 0.507 and 0.504, respectively.
Figure 6 offers a comparison of the weekly rank of the countries—based on \(A_j([t_1, t_2])\)—having experienced an easy (upper panel) and hard (lower panel) lockdown. Countries with a stricter lockdown show more pervasive pessimistic moods than those with a weaker lockdown. In particular, one can notice the presence of common waves of optimism (low rank) and pessimism (high rank) over the considered period. Importantly, there is an evident countertendency among some countries, with opposite moods in peculiar sub-periods. Iceland, South Korea and Sweden show pessimism at the beginning of the pandemic and optimism for the rest of the period, with a spike of pessimism around weeks 15-16. The case of South Korea is significant and in line with the findings presented in Park and Chung (2021). The situation is more scattered for China, the UK, Italy, and the USA. However, there is optimism at the beginning for the UK, Italy and the USA, and substantial pessimism for all the considered countries in the last part of the period. China and Italy seem to exhibit similar trends during the latter portion of the period under study; a possible explanation can be found in the strict collaboration between such countries during the lockdown, which can be seen as the driver of a common mood. From a more general point of view, the results showed in Fig. 6 can be further considered in the light of the findings reported in Harring et al. (2021). Namely, the trust in stock markets is affected and affects the trust in government policies.

5.2 Analysis of the time-dependent indicators

Eqs. (6) and (8) indicators employ different levels of \(\zeta \), which is the threshold used to capture the variations of the observed series daily. Specifically, we use \(\zeta =0,1,\dots , 50\).
The results for \(H_j^{(\zeta )}(k)\) (see Eq. 6) are reported in Fig. 7 and Table 6.
Stock indexes show quite similar behaviours in their links with the Google Trends indicator, mainly in the maximum values of \(H_j^{(\zeta )}(k)\). Indeed, the variation range in the maxima is 0.502− 0.530, with stock indexes associated with Bahrain being outliers with 0.551 and 0.567. However, there are noticeable differences in the minimum values of the \(H_j^{(\zeta )}(k)\), with a range of 0.4 - 0.498. Noticeable differences also appear within the same country, like the minima of \(H_j^{(\zeta )}(k)\) for the USA − with NYSE COMPOSITE at 0.468 and NASDAQ at 100 and NASDAQ COMPOSITE at 0.403.
The averaged results at the country level obtained with the indicator represented by Eq. (7) are shown in Fig. 8 and Table 7.
Some cases are particularly interesting and can be noticed by visually inspecting the results:
  • Latvia, Montenegro, Norway, Denmark and Canada have a vast majority of \(H_j^{(\zeta )} > 0.5\) manifesting a high average level of contemporaneous Google searches growth and stock indexes declines. Across the \(\zeta \)s used in calculating \(H_j^{(\zeta )}(k)\), such an occurrence appears at least in the \(90\%\) of the cases.
  • Malta has \(92\%\) of \(H_j^{(\zeta )} < 0.5\), representing an average low level of decreasing Google searches and stock indexes increments at the same time.
  • The highest value of \(H_j^{(\zeta )}\) occurs in Bahrain, with 0.559, for \(\zeta =0\). This finding is in agreement with those discussed already for \(H_j^{(\zeta )}(k)\) above
  • The smallest value of \(H_j^{(\zeta )}\) occurs in Italy, with 0.4, for \(\zeta =0\).
The \(R_j^{(\zeta )}(k)\) presented in Eq. (8) are calculated and reported in Fig. 9 and Table 8.
The variation range in the maxima for the case of \(R_j^{(\zeta )}(k)\) is 0.5—0.565, with Bahrain’s stock indexes having the highest values. Differences in the minimum values are also noticeable; the range goes from 0.421 to 0.5. The lowest value is associated with Italy’s index once again. Remarkable differences appear for the stock indexes within the same country, in the specific case of \(R_j^{(\zeta )}(k)\); the USA is again one of the most remarkable examples of a wide variation range at a stock index level.
The results at the country level are presented in Fig. 10 and Table 9; they have been calculated through Eq. (9). The most relevant facts are listed below:
  • Qatar has the highest percentage of \(\zeta \)s such that \(R_j^{(\zeta )} > 0.5\), namely \(19.6\%\); therefore, it is the country having contemporaneous increases in Google searches and decreases in stock index prices for a large number of thresholds \(\zeta \)s. Belgium, Spain and France follow, with \(17.6\%\) of the \(\zeta \)s leading to \(R_j^{(\zeta )}\) in the range (0.5,1].
  • Greece, Malaysia, Argentina and New Zealand have the highest percentages of \(\zeta \)s such that \(R_j^{(\zeta )} < 0.5\), with the first two countries having \(11.8\%\) of the observations falling within [0,0.5) and the latest two ones having a proportion of \(9.8\%\).
  • The lowest value of \(R_j^{(\zeta )}\) occurs in Italy, with 0.421, for \(\zeta = 0\).
  • The highest value of \(R_j^{(\zeta )}\) occurs in Bahrain, with 0.565, for \(\zeta = 0\).
By analysing the global indicators, the case of \(\zeta = 0\) is the most relevant to be commented for the information carried out. The proposed indexes are sensible to the smallest daily variation in such a case. Bahrain, Malta, Israel, Cyprus, United Arab Emirates, Singapore, Oman and Japan have \(H_j^{(\zeta =0)}>0.5\). Thus, on average, these countries have experienced significant anxiety about COVID-19 and a small trust in the stock markets’ future performances. Differently, Italy, Canada, Lithuania, Germany, the UK and Spain have the lowest positions, with \(H_j^{(\zeta =0)}<0.5\). In such countries, an optimistic mood is preponderant, on average. Notice that such a list of countries with “optimistic moods” are highly developed and had a noticeable spread of the pandemic. Reasonably, in those countries, people’s optimism is connected to their trust in the healthcare system, financial industry, and the collaborative efforts of science in addressing the widespread pandemic.
For the case of \(R_j^{(\zeta =0)}<0.5\), the lowest positions are held by Russia, Switzerland, Lithuania, Romania, Germany and Italy. These countries have experienced a large number of days of contemporaneous decreases in Google searches and increase in stock index prices. Bahrain, Israel, Japan, Singapore, Oman, Malta and Iceland are the countries with \(R_j^{(\zeta =0)}>0.5\). Of course, results for \(H_j^{(\zeta =0)}\) and \(R_j^{(\zeta =0)}\) are often overlapping, and some countries confirm their general mood when the comparison between entirely optimistic days and wholly pessimistic ones is performed. Interestingly, in places where the pandemic's consequences have been managed quite brightly, the general feelings have been more pessimistic than optimistic (see, e.g. the case of Israel).
Table 3
Main statistical indicators of \(A_j([t_1,t_2];k)\) from Eq. (2) at stock index level
Country
Index
µ
σ
Skew
Kurt
µ/σ
Argentina
S&P MERVAL INDEX
0.507
0.016
− 1.075
0.147
31.047
Australia
S&P/ASX 200
0.507
0.015
− 1.018
− 0.112
33.143
S&P/ASX 300
0.507
0.015
− 1.018
− 0.113
33.086
Austria
ATX - AUSTRIAN TRADED INDEX
0.507
0.018
− 1.405
1.891
28.855
Bahrain
MSCI BAHRAIN
0.506
0.010
− 1.064
2.100
52.517
MSCI BAHRAIN $
0.506
0.010
− 1.032
2.024
52.041
Belgium
BEL 20
0.507
0.016
− 0.837
− 0.387
31.297
Bulgaria
BULGARIA SE SOFIX
0.507
0.016
− 0.849
− 0.382
31.820
Canada
S&P/TSX 60 INDEX
0.507
0.016
− 1.150
0.231
32.262
S&P/TSX COMPOSITE INDEX
0.507
0.016
− 1.138
0.201
32.048
Chile
S&P/CLX IGPA CLP INDEX
0.507
0.015
− 1.561
2.619
32.734
China
SHANGHAI SE A SHARE
0.508
0.007
− 0.291
− 0.900
69.022
SHENZHEN SE B SHARE
0.508
0.007
− 0.224
− 0.917
73.086
Croatia
CROATIA CROBEX
0.507
0.017
− 0.703
− 0.895
29.432
Cyprus
CYPRUS GENERAL
0.506
0.018
0.139
− 1.095
28.743
Czech Republic
PRAGUE SE PX
0.507
0.018
− 1.595
2.014
27.678
Denmark
OMX COPENHAGEN (OMXC)
0.506
0.017
− 1.314
1.049
29.865
OMX COPENHAGEN (OMXC20)
0.506
0.017
− 1.327
1.093
30.002
Estonia
OMX TALLINN (OMXT)
0.506
0.017
− 1.601
2.413
29.180
Finland
OMX HELSINKI (OMXH)
0.506
0.017
− 2.163
5.441
29.680
France
FRANCE CAC 40
0.507
0.016
− 1.062
0.903
31.220
SBF 120
0.507
0.016
− 1.064
0.905
31.176
Germany
DAX 30 PERFORMANCE
0.507
0.015
− 0.906
0.235
34.239
MDAX FRANKFURT
0.507
0.015
− 0.896
0.160
34.282
PRIME ALL SHARE (XETRA)
0.507
0.015
− 0.895
0.212
34.235
Greece
ATHEX COMPOSITE
0.516
0.023
− 3.681
14.420
22.250
FTSE/ATHEX LARGE CAP
0.516
0.023
− 3.673
14.390
22.210
Hong Kong
HANG SENG
0.508
0.008
− 0.370
− 0.183
60.783
HANG SENG CHINA AFFILIATED CORP
0.508
0.009
− 0.393
− 0.195
58.726
HANG SENG CHINA ENTERPRISES
0.508
0.008
− 0.418
− 0.269
61.537
Hungary
BUDAPEST (BUX)
0.506
0.017
− 1.029
0.254
30.412
Iceland
OMX ICELAND ALL SHARE
0.505
0.025
− 1.059
− 0.222
20.333
Ireland
ISEQ ALL SHARE INDEX
0.507
0.016
− 0.824
− 0.299
32.556
Israel
ISRAEL TA 125
0.507
0.010
− 0.959
− 0.123
50.712
Italy
FTSE MIB INDEX
0.507
0.014
− 0.803
0.127
35.194
Japan
NIKKEI 225 STOCK AVERAGE
0.506
0.012
− 0.537
− 0.722
43.446
TOPIX
0.506
0.011
− 0.538
− 0.722
44.073
TSE SECOND SECTION
0.506
0.012
− 0.516
− 0.663
42.277
Kazakhstan
MSCI KAZAKHSTAN
0.507
0.014
− 0.252
− 1.378
36.482
MSCI KAZAKHSTAN U$
0.507
0.014
− 0.252
− 1.378
36.482
Kuwait
DJ Islamic Market Kuwait
0.506
0.013
− 1.209
2.126
39.475
Latvia
OMX RIGA (OMXR)
0.506
0.020
− 1.713
2.434
25.431
Lithuania
OMX VILNIUS (OMXV)
0.506
0.017
− 1.185
0.339
29.350
Luxembourg
LUXEMBOURG SE GENERAL
0.507
0.017
− 0.934
0.297
29.277
Malaysia
FTSE BURSA MALAYSIA KLCI
0.507
0.017
− 2.683
8.680
29.648
Malta
MALTA SE MSE
0.504
0.028
− 1.119
− 0.072
18.248
Montenegro
MONTENEGRO SE MONEX
0.505
0.033
− 2.264
6.125
15.321
Netherlands
AEX ALL SHARE
0.507
0.017
− 0.961
− 0.322
30.288
AEX INDEX (AEX)
0.507
0.017
− 0.970
− 0.293
30.392
New Zealand
S&P/NZX 50
0.507
0.015
− 1.291
0.794
33.972
Norway
OSLO EXCHANGE ALL SHARE
0.508
0.023
− 2.237
5.170
21.625
Oman
OMAN MUSCAT SECURITIES MKT
0.507
0.013
− 1.375
2.646
37.753
Poland
WARSAW GENERAL INDEX
0.507
0.016
− 1.093
0.449
30.770
Portugal
PORTUGAL PSI ALL-SHARE
0.510
0.012
− 1.266
1.360
43.377
PORTUGAL PSI-20
0.510
0.012
− 1.202
1.268
42.707
Qatar
MSCI QATAR
0.507
0.010
− 0.075
− 1.102
51.130
MSCI QATAR $
0.507
0.010
− 0.074
− 1.102
51.130
Romania
ROMANIA BET (L)
0.507
0.017
− 1.189
0.333
29.378
Russia
MOEX RUSSIA INDEX
0.507
0.016
− 1.033
0.462
32.642
RUSSIA RTS INDEX
0.507
0.017
− 0.888
0.119
29.871
Saudi Arabia
MSCI SAUDI ARABIA
0.507
0.016
− 1.609
3.124
32.374
MSCI SAUDI ARABIA $
0.507
0.016
− 1.607
3.117
32.346
Singapore
STRAITS TIMES INDEX L
0.507
0.008
0.491
0.214
61.183
Slovakia
SLOVAKIA SAX 16
0.507
0.016
− 1.096
− 0.001
32.341
Slovenia
SLOVENIAN BLUE CHIP (SBI TOP)
0.507
0.017
− 1.300
1.403
29.858
South Korea
KOREA SE COMPOSITE (KOSPI)
0.507
0.026
− 3.395
12.267
19.488
KOREA SE KOSPI 200
0.507
0.026
− 3.395
12.262
19.467
Spain
IBEX 35
0.507
0.017
− 1.066
0.902
30.213
MADRID SE GENERAL (IGBM)
0.507
0.017
− 1.052
0.872
30.194
Sweden
OMX STOCKHOLM (OMXS)
0.506
0.015
− 1.008
0.216
33.044
OMX STOCKHOLM 30 (OMXS30)
0.506
0.015
− 1.026
0.291
33.372
Switzerland
SWISS MARKET (SMI)
0.507
0.015
− 1.188
0.720
33.293
Turkey
BIST NATIONAL 100
0.506
0.014
− 0.759
0.214
35.367
United Arab Emirates
MSCI UAE
0.507
0.012
− 0.223
− 0.665
43.329
MSCI UAE $
0.507
0.012
− 0.223
− 0.665
43.329
United Kingdom
FTSE 100
0.506
0.015
− 1.009
0.359
32.823
FTSE 250
0.506
0.016
− 0.971
0.350
31.828
FTSE ALL SHARE
0.506
0.016
− 1.003
0.360
32.642
FTSE TECHMARK FOCUS (£)
0.506
0.015
− 1.097
0.529
32.673
United States
DOW JONES INDUSTRIALS
0.506
0.017
− 1.095
0.172
30.084
NASDAQ 100
0.506
0.017
− 1.151
0.227
30.388
NASDAQ COMPOSITE
0.506
0.017
− 1.139
0.193
30.092
NYSE COMPOSITE
0.506
0.017
− 1.070
0.116
29.925
RUSSELL 2000
0.506
0.018
− 1.030
− 0.002
28.860
S&P 500 COMPOSITE
0.506
0.017
− 1.116
0.175
30.276
Table 4
Main statistical indicators of \(A_j([t_1,t_2])\) in Eq. (3) at country level
Country
µ
σ
Skew
Kurt
µ/σ
Argentina
0.507
0.016
− 1.075
0.147
31.047
Australia
0.507
0.015
− 1.018
− 0.112
33.115
Austria
0.507
0.018
− 1.405
1.891
28.855
Bahrain
0.506
0.010
− 1.048
2.062
52.279
Belgium
0.507
0.016
− 0.837
− 0.387
31.297
Bulgaria
0.507
0.016
− 0.849
− 0.382
31.820
Canada
0.507
0.016
− 1.144
0.216
32.155
Chile
0.507
0.015
− 1.561
2.619
32.734
China
0.508
0.007
− 0.262
− 0.908
71.104
Croatia
0.507
0.017
− 0.703
− 0.895
29.432
Cyprus
0.506
0.018
0.139
− 1.095
28.743
Czech Republic
0.507
0.018
− 1.595
2.014
27.678
Denmark
0.506
0.017
− 1.321
1.071
29.935
Estonia
0.506
0.017
− 1.601
2.413
29.180
Finland
0.506
0.017
− 2.163
5.441
29.680
France
0.507
0.016
− 1.063
0.904
31.198
Germany
0.507
0.015
− 0.900
0.203
34.254
Greece
0.516
0.023
− 3.678
14.411
22.232
Hong Kong
0.508
0.008
− 0.394
− 0.215
60.339
Hungary
0.506
0.017
− 1.029
0.254
30.412
Iceland
0.505
0.025
− 1.059
− 0.222
20.333
Ireland
0.507
0.016
− 0.824
− 0.299
32.556
Israel
0.507
0.010
− 0.959
− 0.123
50.712
Italy
0.507
0.014
− 0.803
0.127
35.194
Japan
0.506
0.012
− 0.532
− 0.702
43.270
Kazakhstan
0.507
0.014
− 0.252
− 1.378
36.482
Kuwait
0.506
0.013
− 1.209
2.126
39.475
Latvia
0.506
0.020
− 1.713
2.434
25.431
Lithuania
0.506
0.017
− 1.185
0.339
29.350
Luxembourg
0.507
0.017
− 0.934
0.297
29.277
Malaysia
0.507
0.017
− 2.683
8.680
29.648
Malta
0.504
0.028
− 1.119
− 0.072
18.248
Montenegro
0.505
0.033
− 2.264
6.125
15.321
Netherlands
0.507
0.017
− 0.966
− 0.308
30.340
New Zealand
0.507
0.015
− 1.291
0.794
33.972
Norway
0.508
0.023
− 2.237
5.170
21.625
Oman
0.507
0.013
− 1.375
2.646
37.753
Poland
0.507
0.016
− 1.093
0.449
30.770
Portugal
0.510
0.012
− 1.235
1.314
43.045
Qatar
0.507
0.010
− 0.075
− 1.102
51.130
Romania
0.507
0.017
− 1.189
0.333
29.378
Russia
0.507
0.016
− 0.959
0.280
31.207
Saudi Arabia
0.507
0.016
− 1.608
3.120
32.360
Singapore
0.507
0.008
0.491
0.214
61.183
Slovakia
0.507
0.016
− 1.096
− 0.001
32.341
Slovenia
0.507
0.017
− 1.300
1.403
29.858
South Korea
0.507
0.026
− 3.395
12.265
19.478
Spain
0.507
0.017
− 1.059
0.887
30.203
Sweden
0.506
0.015
− 1.017
0.253
33.208
Switzerland
0.507
0.015
− 1.188
0.720
33.293
Turkey
0.506
0.014
− 0.759
0.214
35.367
United Arab Emirates
0.507
0.012
− 0.223
− 0.665
43.329
United Kingdom
0.506
0.016
− 1.021
0.399
32.497
United States
0.506
0.017
− 1.107
0.152
29.962
Table 5
The ranked data week by week. Columns represent weeks, while rows are ranks. Specifically, countries are sorted in descending order on the basis of the value of \(A_j([t_1,t_2])\). The codes are taken from ISO 3166-1, alpha-3
Rank\(\backslash \)Week
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
1
ARE
ARE
LUX
SGP
MLT
LUX
ESP
MLT
CYP
KOR
ISL
MLT
ISL
MNE
ISL
ISL
GRC
MNE
GRC
GRC
MNE
MNE
MNE
GRC
2
JPN
QAT
HRV
NOR
ESP
ESP
AUT
KAZ
GRC
GRC
KOR
GRC
MYS
MLT
MYS
GRC
MLT
GRC
ISL
ISL
CYP
GRC
CYP
ISL
3
EST
JPN
BGR
HRV
NOR
ITA
LUX
RUS
MNE
OMN
GRC
KOR
CHN
MYS
ISR
FIN
ISL
MLT
LVA
MLT
GRC
ISL
GRC
MLT
4
 
EST
DEU
ESP
ITA
AUT
KAZ
GRC
MLT
MNE
NOR
MNE
MNE
ISR
FIN
ISR
LVA
ISL
FIN
LVA
ISL
MLT
ISL
KOR
5
 
LTU
SVN
FRA
HRV
HRV
HUN
SAU
KOR
SAU
SAU
NOR
KOR
GRC
CHN
NLD
MYS
LVA
MYS
FIN
MLT
NOR
MLT
NOR
6
 
SWE
HKG
PRT
TUR
NOR
BEL
NOR
TUR
RUS
KWT
LVA
ISR
FIN
GRC
MYS
NLD
MYS
CYP
NLD
NOR
LVA
NOR
LVA
7
 
MYS
OMN
BGR
LUX
KAZ
MLT
PRT
KAZ
KWT
BHR
BHR
PRT
KOR
PRT
SWE
SWE
ISR
NLD
DNK
LVA
KOR
KOR
NLD
8
  
ARE
GBR
AUT
BEL
NOR
AUS
RUS
BHR
OMN
KWT
BHR
CZE
CZE
PRT
FIN
NLD
CZE
NOR
DNK
DNK
LVA
MYS
9
  
NZL
IRL
POL
TUR
HRV
ARE
HRV
MYS
JPN
MYS
SAU
ITA
SVN
DNK
EST
EST
EST
KOR
SVK
SVK
FIN
FIN
10
  
CAN
ITA
FRA
POL
FRA
TUR
SAU
ARE
ARE
SAU
OMN
CHN
ITA
CHN
ISR
SWE
SVK
CYP
NLD
NLD
CHN
DNK
11
  
CHL
BEL
KAZ
FRA
POL
CHL
BHR
CHN
QAT
OMN
KWT
HKG
SGP
CHE
DNK
CZE
SWE
SWE
KOR
DEU
MYS
CZE
12
  
LTU
POL
SVN
HUN
IRL
CAN
OMN
KAZ
SGP
CHN
SGP
CHE
AUT
CZE
CZE
FIN
LTU
ISR
SWE
CZE
ARG
DEU
13
  
AUT
SVN
CZE
RUS
ISL
GBR
KWT
CHL
HKG
QAT
ARE
PRT
CHE
HKG
PRT
PRT
DNK
MYS
CHN
SWE
NLD
SWE
14
  
ESP
ROU
PRT
CZE
CZE
USA
NOR
NOR
LVA
ARE
QAT
SGP
HKG
BGR
KOR
ROU
SGP
EST
DEU
USA
DNK
SVK
15
  
NLD
TUR
BEL
SVN
PRT
KOR
BGR
NZL
CHN
JPN
LVA
SVN
SVK
ROU
ROU
DNK
ROU
LTU
LTU
ARG
CZE
USA
16
  
KOR
SAU
HUN
PRT
RUS
MYS
ROU
LTU
ISR
ISR
ITA
AUT
ESP
LUX
NZL
LTU
CHE
SVN
CZE
MYS
SVK
BEL
17
  
DNK
RUS
GBR
IRL
GBR
ARG
HUN
JPN
MNE
DNK
CYP
DEU
DEU
CYP
CAN
CAN
CAN
DEU
USA
FIN
DEU
FRA
18
  
JPN
AUT
IRL
ARG
SVN
HUN
LTU
SGP
MYS
ISL
DNK
QAT
POL
AUT
CHE
KOR
NZL
USA
NZL
FRA
SWE
CHE
19
  
EST
LUX
ROU
BGR
ROU
CYP
MYS
TUR
RUS
EST
NLD
ESP
FRA
DEU
USA
SVK
PRT
SVK
CHE
LTU
USA
LTU
20
  
IRL
ARG
BGR
DEU
DEU
QAT
ARG
QAT
EST
PRT
CHE
ISL
HUN
ITA
CHN
SVN
ARG
ARG
MYS
NZL
SGP
IRL
21
  
FRA
SVK
RUS
USA
TUR
NZL
CHL
HRV
LTU
SWE
DEU
EST
TUR
BEL
CHL
USA
SVN
CHE
ROU
CHE
FRA
EST
22
  
GBR
HKG
ARG
KWT
AUS
OMN
LVA
HKG
KAZ
HKG
CHL
SVK
ROU
POL
AUT
NZL
ISR
CZE
PRT
CAN
NZL
ITA
23
  
HUN
CHL
CHL
SAU
SAU
BEL
CAN
CYP
DNK
DEU
SWE
FRA
IRL
FRA
LTU
CHE
USA
BGR
CAN
EST
BEL
CAN
24
  
SWE
USA
KWT
ROU
ITA
SVK
QAT
AUS
CYP
NLD
FRA
GBR
USA
SVK
LUX
CHL
HRV
NZL
BGR
AUT
CHE
CYP
25
  
ROU
LTU
USA
CHL
USA
FRA
POL
ARG
SWE
ITA
EST
IRL
CAN
ESP
BEL
AUT
KOR
ROU
AUT
ROU
JPN
NZL
26
  
AUS
CHE
CHE
GBR
ARG
POL
EST
LVA
PRT
SGP
LUX
TUR
GBR
SGP
SVK
LUX
AUT
CAN
SVN
AUS
AUT
JPN
27
  
RUS
OMN
SVK
CHE
BGR
ESP
ESP
HUN
ITA
BGR
BEL
RUS
BHR
IRL
HRV
ARG
AUS
AUS
AUS
POL
LTU
AUS
28
  
TUR
KAZ
SAU
SVK
NLD
HKG
PRT
ISR
FIN
RUS
ESP
LUX
NZL
CHL
HKG
BGR
JPN
PRT
EST
SVN
HUN
AUT
29
  
BEL
HUN
DEU
NLD
CHE
HRV
ARE
GBR
HRV
FIN
AUT
CAN
QAT
TUR
BGR
IRL
CHN
HRV
POL
BEL
ITA
HUN
30
  
QAT
BHR
AUS
AUS
ARE
SGP
AUS
PRT
IRL
KAZ
IRL
CYP
AUS
GBR
AUS
AUS
HKG
IRL
HUN
CYP
CAN
POL
31
  
KAZ
AUS
OMN
LTU
KWT
IRL
NZL
FRA
SVN
AUT
GBR
POL
LUX
CAN
SVN
BEL
BEL
JPN
ARG
IRL
SVN
ESP
32
  
ARG
CZE
LTU
BHR
CAN
LUX
SVK
CAN
POL
CHE
HKG
ROU
CHL
NZL
DEU
POL
BGR
POL
IRL
ITA
AUS
LUX
33
  
CHE
CHN
ARE
EST
SVK
SVN
HKG
USA
AUS
CYP
NOR
NZL
ARG
HUN
ITA
HRV
HUN
AUT
BEL
HRV
ESP
ARG
34
  
USA
KWT
NLD
CAN
CHL
EST
SGP
BEL
BGR
SVK
BGR
ARE
JPN
USA
POL
NOR
DEU
HUN
HRV
KAZ
IRL
SVN
35
  
ISR
DEU
CAN
ARE
OMN
CZE
GBR
EST
SVK
POL
FIN
HUN
BGR
ARG
NOR
DEU
MNE
BEL
FRA
LUX
LUX
ROU
36
  
FIN
NZL
BHR
OMN
SWE
MNE
AUT
DEU
NLD
SVN
ROU
AUS
OMN
BHR
IRL
ITA
POL
SGP
ISR
ESP
ROU
GBR
37
  
ITA
QAT
EST
DNK
EST
LTU
USA
SVK
DEU
FRA
CAN
BEL
KAZ
AUS
GBR
CHN
IRL
HKG
JPN
JPN
PRT
SAU
38
  
POL
CAN
HKG
SWE
LTU
ROU
SVN
IRL
TUR
LUX
ARG
USA
BEL
KWT
FRA
JPN
LUX
FRA
ITA
PRT
POL
RUS
39
  
KWT
EST
NZL
QAT
DNK
DNK
LUX
BGR
ESP
BEL
LTU
JPN
NLD
SVN
ARG
FRA
NOR
LUX
LUX
SGP
HRV
CHL
40
  
NOR
NLD
DNK
KOR
NZL
BGR
CZE
CHE
BEL
LTU
TUR
KAZ
CYP
HRV
SGP
GBR
ITA
ITA
RUS
HUN
ISR
ISR
41
  
CZE
DNK
QAT
NZL
LVA
LVA
BEL
ITA
NZL
ESP
NZL
SWE
KWT
OMN
BHR
HUN
FRA
GBR
KAZ
BGR
EST
HRV
42
  
CHN
LVA
LVA
LVA
QAT
SWE
FIN
LUX
ROU
CZE
MLT
CHL
ARE
KAZ
TUR
HKG
GBR
CHN
HKG
ISR
GBR
KWT
43
  
LVA
FIN
SWE
JPN
FIN
ISR
CHN
NLD
CHE
IRL
CZE
ARG
SWE
MLT
JPN
SGP
CHL
RUS
ESP
CHN
RUS
CHN
44
  
BHR
SWE
JPN
FIN
SGP
AUT
JPN
ROU
CAN
CHL
HRV
NLD
SAU
QAT
ESP
TUR
ESP
KAZ
GBR
RUS
KAZ
PRT
45
  
SAU
ISR
SGP
HKG
KOR
KWT
IRL
SWE
AUT
CAN
SVN
BGR
HRV
ARE
HUN
ESP
TUR
KWT
QAT
GBR
CHL
OMN
46
  
PRT
JPN
FIN
ISR
BHR
DEU
DNK
POL
GBR
ROU
USA
BHR
RUS
SAU
KWT
BHR
RUS
CHL
FIN
SAU
QAT
ARE
47
  
SVK
ARE
KOR
CHN
MYS
BHR
FRA
ESP
LUX
HRV
AUS
HRV
DNK
RUS
RUS
KAZ
KAZ
TUR
SAU
CHL
SAU
BGR
48
  
SGP
KOR
CHN
SGP
JPN
CHN
ISL
DNK
ARG
USA
KAZ
DNK
LTU
LTU
KAZ
RUS
QAT
SAU
CHL
HKG
HKG
HKG
49
  
MYS
MLT
ISL
MYS
ISR
NLD
ISR
CZE
HUN
GBR
POL
LVA
NOR
NOR
ARE
CYP
ARE
MNE
SGP
KWT
KWT
KAZ
50
  
ISL
ISL
ISR
MLT
HKG
CHE
DEU
SVN
USA
TUR
JPN
KWT
EST
JPN
OMN
QAT
OMN
ESP
OMN
QAT
OMN
QAT
51
   
MYS
MYS
ISL
CHN
FIN
NLD
AUT
FRA
HUN
HUN
OMN
MLT
EST
SAU
KWT
KWT
QAT
ARE
BHR
BGR
TUR
52
       
JPN
CHE
FIN
CZE
ARG
SVK
LTU
LVA
MNE
QAT
ARE
SAU
ARE
TUR
OMN
TUR
MNE
53
       
ITA
ITA
ISL
CHL
NZL
RUS
SAU
KOR
LVA
CYP
OMN
BHR
BHR
KWT
TUR
ARE
BHR
54
       
ISL
SWE
MLT
MLT
AUS
GRC
NOR
MNE
KOR
MNE
SAU
MLT
OMN
BHR
ARE
BHR
SGP
Table 6
Main statistical indicators of \(H_j^{(\zeta )}(k)\) in Eq. (6), at stock index level. The values of the reference thresholds \(\zeta \)s are also shown
Country
Index
Max
\(\varsigma _{\mathrm {{max}}}\)
Min
\(\varsigma _{\mathrm {{min}}}\)
µ
\(\sigma \)
Skew
Kurt
µ/\(\sigma \)
Argentina
S&P MERVAL INDEX
0.514
9
0.465
1
0.500
0.008
− 2.744
9.300
61.631
Australia
S&P/ASX 200
0.509
5
0.440
0
0.499
0.009
− 6.300
42.788
56.705
S&P/ASX 300
0.509
5
0.440
0
0.499
0.009
− 6.293
42.719
56.645
Austria
ATX - AUSTRIAN TRADED INDEX
0.507
9
0.477
1
0.501
0.005
− 3.228
13.247
100.479
Bahrain
MSCI BAHRAIN
0.551
0
0.498
15 16 18
0.503
0.009
4.182
19.640
57.820
MSCI BAHRAIN $
0.567
0
0.498
15 16 18
0.503
0.011
4.810
26.024
47.043
Belgium
BEL 20
0.521
3
0.440
0
0.501
0.011
− 4.304
22.483
46.232
Bulgaria
BULGARIA SE SOFIX
0.516
4
0.489
1
0.502
0.005
0.652
1.995
105.606
Canada
S&P/TSX 60 INDEX
0.507
3 8 9
0.438
0
0.501
0.009
− 6.381
42.982
53.798
S&P/TSX COMPOSITE INDEX
0.507
7 8 9
0.415
0
0.501
0.013
− 6.740
46.717
40.372
Chile
S&P/CLX IGPA CLP INDEX
0.509
3 4
0.452
0
0.501
0.008
− 5.474
34.981
66.096
China
SHANGHAI SE A SHARE
0.502
38 39 44 45
0.470
1
0.491
0.008
− 0.374
− 0.190
65.452
SHENZHEN SE B SHARE
0.502
38 39 44 45
0.481
4 5 19
0.492
0.007
0.006
− 1.320
74.779
Croatia
CROATIA CROBEX
0.509
13 17 18
0.484
0
0.500
0.005
− 0.822
2.309
102.002
Cyprus
CYPRUS GENERAL
0.527
1
0.485
37
0.502
0.010
− 0.134
− 1.083
49.747
Czech Republic
PRAGUE SE PX
0.505
13
0.465
0
0.499
0.007
− 3.918
17.128
76.321
Denmark
OMX COPENHAGEN (OMXC)
0.511
11 12 [19–22]
0.459
0
0.504
0.010
− 4.029
17.348
52.754
OMX COPENHAGEN (OMXC20)
0.511
11 12 [19–22]
0.450
0
0.504
0.011
− 4.241
18.684
45.541
Estonia
OMX TALLINN (OMXT)
0.515
3 4
0.453
0
0.503
0.008
− 4.721
28.766
61.084
Finland
OMX HELSINKI (OMXH)
0.507
3
0.484
1
0.498
0.005
− 0.791
− 0.380
91.540
France
FRANCE CAC 40
0.516
3
0.454
0
0.500
0.008
− 4.757
29.627
66.787
SBF 120
0.519
3
0.449
0
0.500
0.008
− 4.750
30.238
61.046
Germany
DAX 30 PERFORMANCE
0.509
8
0.445
0
0.498
0.009
− 5.020
30.841
58.365
MDAX FRANKFURT
0.509
3 8
0.440
0
0.498
0.010
− 4.583
24.677
50.543
PRIME ALL SHARE (XETRA)
0.509
3 8
0.445
0
0.498
0.009
− 4.756
28.379
57.124
Greece
ATHEX COMPOSITE
0.518
5
0.473
0
0.501
0.005
− 2.020
17.092
93.853
FTSE/ATHEX LARGE CAP
0.515
5
0.491
0
0.501
0.004
1.814
4.978
126.988
Hong Kong
HANG SENG
0.507
32 35 36 37
0.475
8 9
0.494
0.009
− 0.587
− 0.451
55.998
HANG SENG CHINA AFFILIATED CORP
0.507
32 35 36 37
0.475
8 9
0.494
0.009
− 0.691
− 0.116
58.235
HANG SENG CHINA ENTERPRISES
0.507
32 35 36 37
0.454
0
0.493
0.010
− 1.390
3.030
48.525
Hungary
BUDAPEST (BUX)
0.514
3
0.438
0
0.500
0.010
− 5.290
32.563
50.278
Iceland
OMX ICELAND ALL SHARE
0.512
3
0.490
1
0.502
0.003
− 0.849
10.345
190.485
Ireland
ISEQ ALL SHARE INDEX
0.512
5
0.468
0
0.501
0.006
− 3.413
17.699
81.892
Israel
ISRAEL TA 125
0.516
3
0.493
19 40 41 42
0.500
0.005
1.244
1.194
94.872
Italy
FTSE MIB INDEX
0.505
17 18 19
0.400
0
0.496
0.017
− 4.751
24.584
29.866
Japan
NIKKEI 225 STOCK AVERAGE
0.524
3
0.498
7 [14–23] [30–34]
0.501
0.005
3.447
12.867
99.641
TOPIX
0.522
0 3
0.498
7 [14–23] [30–34]
0.501
0.005
2.774
7.487
92.170
TSE SECOND SECTION
0.526
3
0.491
0
0.501
0.006
2.838
8.749
84.948
Kazakhstan
MSCI KAZAKHSTAN
0.512
3
0.449
1
0.499
0.009
− 4.280
22.439
57.636
MSCI KAZAKHSTAN U$
0.512
3
0.449
1
0.499
0.009
− 4.280
22.439
57.636
Kuwait
DJ Islamic Market Kuwait
0.512
3 6 7
0.479
0
0.501
0.005
− 1.317
10.495
109.350
Latvia
OMX RIGA (OMXR)
0.514
1
0.484
0
0.506
0.004
− 4.249
27.331
139.940
Lithuania
OMX VILNIUS (OMXV)
0.511
8
0.428
0
0.502
0.012
− 5.380
32.209
42.485
Luxembourg
LUXEMBOURG SE GENERAL
0.507
11
0.461
0
0.500
0.007
− 4.539
21.268
68.256
Malaysia
FTSE BURSA MALAYSIA KLCI
0.502
3 4
0.493
1 5
0.499
0.002
− 1.188
0.897
243.889
Malta
MALTA SE MSE
0.514
1
0.493
44
0.498
0.003
3.985
18.747
158.192
Montenegro
MONTENEGRO SE MONEX
0.512
1 49 50
0.466
0
0.505
0.006
− 5.740
38.116
85.054
Netherlands
AEX ALL SHARE
0.511
3
0.445
0
0.501
0.011
− 4.483
20.758
47.356
AEX INDEX (AEX)
0.509
3
0.440
0
0.501
0.011
− 4.687
22.875
46.212
New Zealand
S&P/NZX 50
0.507
4 [6–14]
0.482
0
0.501
0.004
− 2.059
11.283
126.313
Norway
OSLO EXCHANGE ALL SHARE
0.507
3 6
0.472
0
0.502
0.005
− 5.071
27.999
101.428
Oman
OMAN MUSCAT SECURITIES MKT
0.507
0 3 8 9 10
0.495
1
0.502
0.002
0.690
1.077
212.642
Poland
WARSAW GENERAL INDEX
0.509
6 8 9
0.472
0
0.501
0.006
− 2.889
14.892
90.044
Portugal
PORTUGAL PSI ALL-SHARE
0.514
3
0.465
0
0.497
0.006
− 3.514
22.349
86.154
PORTUGAL PSI-20
0.517
3
0.469
0
0.498
0.005
− 2.735
25.398
100.432
Qatar
MSCI QATAR
0.513
1
0.463
0
0.497
0.006
− 3.840
25.296
85.521
MSCI QATAR $
0.513
1
0.463
0
0.497
0.006
− 3.840
25.296
85.521
Romania
ROMANIA BET (L)
0.512
10 11
0.438
0
0.501
0.011
− 4.731
26.581
47.579
Russia
MOEX RUSSIA INDEX
0.519
3
0.477
0
0.501
0.005
− 0.749
13.386
100.234
RUSSIA RTS INDEX
0.519
3 4
0.477
0
0.501
0.006
0.104
7.538
83.881
Saudi Arabia
MSCI SAUDI ARABIA
0.509
6
0.467
0
0.501
0.006
− 4.384
25.394
88.382
MSCI SAUDI ARABIA $
0.509
6
0.476
0
0.501
0.005
− 3.191
15.193
105.779
Singapore
STRAITS TIMES INDEX L
0.512
[22–25]
0.481
8 9
0.500
0.009
− 0.489
− 1.109
53.898
Slovakia
SLOVAKIA SAX 16
0.507
12
0.491
3
0.501
0.002
− 0.924
5.984
203.538
Slovenia
SLOVENIAN BLUE CHIP (SBI TOP)
0.505
3 10 11 12 [15–20]
0.454
0
0.500
0.007
− 6.068
40.443
71.938
South Korea
KOREA SE COMPOSITE (KOSPI)
0.509
3
0.452
0
0.499
0.007
− 5.542
36.007
68.519
KOREA SE KOSPI 200
0.507
1 3
0.447
0
0.499
0.008
− 5.715
37.381
63.011
Spain
IBEX 35
0.507
8
0.438
0
0.500
0.009
− 6.340
42.924
53.920
MADRID SE GENERAL (IGBM)
0.507
8
0.433
0
0.500
0.010
− 6.507
44.612
50.699
Sweden
OMX STOCKHOLM (OMXS)
0.530
3
0.475
0
0.504
0.008
0.108
4.526
63.761
OMX STOCKHOLM 30 (OMXS30)
0.527
3
0.480
0
0.505
0.007
0.349
3.149
68.270
Switzerland
SWISS MARKET (SMI)
0.512
7
0.438
0
0.500
0.011
− 4.758
26.526
48.007
Turkey
BIST NATIONAL 100
0.509
[9–14]
0.484
0
0.502
0.005
− 1.214
3.323
101.176
United Arab Emirates
MSCI UAE
0.528
1
0.494
4
0.500
0.005
4.768
28.447
109.837
MSCI UAE $
0.528
1
0.494
4
0.500
0.005
4.602
26.559
108.167
United Kingdom
FTSE 100
0.516
3 4
0.433
0
0.501
0.011
− 5.370
35.587
47.697
FTSE 250
0.519
4
0.442
0
0.501
0.009
− 4.928
32.381
53.838
FTSE ALL SHARE
0.521
3
0.438
0
0.501
0.010
− 4.884
32.159
49.932
FTSE TECHMARK FOCUS (£)
0.516
4
0.433
0
0.500
0.010
− 5.748
38.462
48.849
United States
DOW JONES INDUSTRIALS
0.514
3
0.468
0
0.502
0.006
− 3.841
24.215
85.246
NASDAQ 100
0.509
5 6
0.403
0
0.500
0.014
− 6.601
45.426
35.075
NASDAQ COMPOSITE
0.512
6
0.403
0
0.500
0.015
− 6.406
43.439
34.691
NYSE COMPOSITE
0.512
[4–7]
0.468
0
0.502
0.006
− 4.019
25.496
86.318
RUSSELL 2000
0.519
6
0.449
0
0.502
0.009
− 4.863
31.991
59.408
S&P 500 COMPOSITE
0.514
3
0.444
0
0.502
0.009
− 5.687
37.627
57.465
Table 7
Main statistical indicators of \(H_j^{(\zeta )}\) in Eq. (7), at country level. The values of the reference thresholds \(\zeta \)s are illustrated
Country
Max
\(\varsigma _{\mathrm {{max}}}\)
Min
\(\varsigma _{\mathrm {{min}}}\)
µ
\(\sigma \)
Skew
Kurt
µ/\(\sigma \)
Argentina
0.514
9
0.465
1
0.500
0.008
− 2.744
9.300
61.631
Australia
0.509
5
0.440
0
0.499
0.009
− 6.300
42.784
56.684
Austria
0.507
9
0.477
1
0.501
0.005
− 3.228
13.247
100.479
Bahrain
0.559
0
0.498
15 16 18
0.503
0.010
4.523
23.068
51.964
Belgium
0.521
3
0.440
0
0.501
0.011
− 4.304
22.483
46.232
Bulgaria
0.516
4
0.489
1
0.502
0.005
0.652
1.995
105.606
Canada
0.507
8 9
0.427
0
0.501
0.011
− 6.609
45.353
46.197
Chile
0.509
3 4
0.452
0
0.501
0.008
− 5.474
34.981
66.096
China
0.502
38 39 44 45
0.480
1
0.492
0.007
0.074
− 1.293
73.282
Croatia
0.509
13 17 18
0.484
0
0.500
0.005
− 0.822
2.309
102.002
Cyprus
0.527
1
0.485
37
0.502
0.010
− 0.134
− 1.083
49.747
Czech Republic
0.505
13
0.465
0
0.499
0.007
− 3.918
17.128
76.321
Denmark
0.511
11 12 [19–22]
0.454
0
0.504
0.010
− 4.145
18.072
48.899
Estonia
0.515
3 4
0.453
0
0.503
0.008
− 4.721
28.766
61.084
Finland
0.507
3
0.484
1
0.498
0.005
− 0.791
− 0.380
91.540
France
0.517
3
0.451
0
0.500
0.008
− 4.761
30.006
63.821
Germany
0.509
8
0.443
0
0.498
0.009
− 4.787
27.922
55.327
Greece
0.517
5
0.482
0
0.501
0.005
− 0.106
9.170
111.827
Hong Kong
0.507
32 35 36 37
0.472
0
0.494
0.009
− 0.702
− 0.172
55.112
Hungary
0.514
3
0.438
0
0.500
0.010
− 5.290
32.563
50.278
Iceland
0.512
3
0.490
1
0.502
0.003
− 0.849
10.345
190.485
Ireland
0.512
5
0.468
0
0.501
0.006
− 3.413
17.699
81.892
Israel
0.516
3
0.493
19 40 41 42
0.500
0.005
1.244
1.194
94.872
Italy
0.505
17 18 19
0.400
0
0.496
0.017
− 4.751
24.584
29.866
Japan
0.524
3
0.498
7 [14–23] [30–34]
0.501
0.005
3.091
10.265
97.770
Kazakhstan
0.512
3
0.449
1
0.499
0.009
− 4.280
22.439
57.636
Kuwait
0.512
3 6 7
0.479
0
0.501
0.005
− 1.317
10.495
109.350
Latvia
0.514
1
0.484
0
0.506
0.004
− 4.249
27.331
139.940
Lithuania
0.511
8
0.428
0
0.502
0.012
− 5.380
32.209
42.485
Luxembourg
0.507
11
0.461
0
0.500
0.007
− 4.539
21.268
68.256
Malaysia
0.502
3 4
0.493
1 5
0.499
0.002
− 1.188
0.897
243.889
Malta
0.514
1
0.493
44
0.498
0.003
3.985
18.747
158.192
Montenegro
0.512
1 49 50
0.466
0
0.505
0.006
− 5.740
38.116
85.054
Netherlands
0.510
3
0.443
0
0.501
0.011
− 4.583
21.763
46.811
New Zealand
0.507
4 [6–14]
0.482
0
0.501
0.004
− 2.059
11.283
126.313
Norway
0.507
3 6
0.472
0
0.502
0.005
− 5.071
27.999
101.428
Oman
0.507
0 3 8 9 10
0.495
1
0.502
0.002
0.690
1.077
212.642
Poland
0.509
6 8 9
0.472
0
0.501
0.006
− 2.889
14.892
90.044
Portugal
0.515
3
0.467
0
0.498
0.005
− 3.255
25.052
94.406
Qatar
0.513
1
0.463
0
0.497
0.006
− 3.840
25.296
85.521
Romania
0.512
10 11
0.438
0
0.501
0.011
− 4.731
26.581
47.579
Russia
0.519
3
0.477
0
0.501
0.005
− 0.407
10.179
92.818
Saudi Arabia
0.509
6
0.472
0
0.501
0.005
− 3.806
20.311
96.753
Singapore
0.512
[22–25]
0.481
8 9
0.500
0.009
− 0.489
− 1.109
53.898
Slovakia
0.507
12
0.491
3
0.501
0.002
− 0.924
5.984
203.538
Slovenia
0.505
3 10 11 12 [15–20]
0.454
0
0.500
0.007
− 6.068
40.443
71.938
South Korea
0.508
3
0.450
0
0.499
0.008
− 5.714
37.367
65.922
Spain
0.507
8
0.435
0
0.500
0.010
− 6.430
43.834
52.273
Sweden
0.528
3
0.477
0
0.505
0.008
0.246
4.104
66.680
Switzerland
0.512
7
0.438
0
0.500
0.011
− 4.758
26.526
48.007
Turkey
0.509
[9-14]
0.484
0
0.502
0.005
− 1.214
3.323
101.176
United Arab Emirates
0.528
1
0.494
4
0.500
0.005
4.686
27.527
109.050
United Kingdom
0.516
4
0.436
0
0.501
0.010
− 5.343
35.349
50.233
United States
0.512
6
0.439
0
0.502
0.010
− 5.949
39.841
53.236
Table 8
Main statistical indicators of \(R_j^{(\zeta )}(k)\) in Eq. (8), at stock index level, along with the meaningful thresholds \(\zeta \)s
Country
Index
Max
\(\varsigma _{\mathrm {{max}}}\)
Min
\(\varsigma _{\mathrm {{min}}}\)
µ
\(\sigma \)
Skew
Kurt
µ/\(\sigma \)
Argentina
S&P MERVAL INDEX
0.505
6
0.468
0 1
0.498
0.007
− 4.252
18.219
76.251
Australia
S&P/ASX 200
0.514
2
0.454
0
0.499
0.007
− 5.632
38.317
72.133
S&P/ASX 300
0.514
2
0.454
0
0.499
0.007
− 5.357
35.016
70.676
Austria
ATX - AUSTRIAN TRADED INDEX
0.505
1 3 4 5
0.472
0
0.500
0.004
− 5.806
39.154
120.645
Bahrain
MSCI BAHRAIN
0.537
0
0.500
[2–50]
0.501
0.006
5.295
28.336
83.518
MSCI BAHRAIN $
0.565
0
0.500
[2–50]
0.502
0.010
5.906
36.395
51.702
Belgium
BEL 20
0.523
2
0.463
0
0.501
0.007
− 2.665
22.162
75.245
Bulgaria
BULGARIA SE SOFIX
0.505
[3–6]
0.477
0
0.500
0.003
− 5.628
38.402
144.571
Canada
S&P/TSX 60 INDEX
0.509
2 3
0.450
0
0.500
0.008
− 5.856
39.296
66.291
S&P/TSX COMPOSITE INDEX
0.518
2
0.436
0
0.500
0.010
− 5.708
38.948
51.904
Chile
S&P/CLX IGPA CLP INDEX
0.509
4 5
0.454
0
0.500
0.008
− 4.796
26.899
66.081
China
SHANGHAI SE A SHARE
0.500
[3–50]
0.481
0 1
0.499
0.004
− 4.284
17.705
130.729
SHENZHEN SE B SHARE
0.514
0
0.500
[3–50]
0.501
0.002
4.741
23.030
209.801
Croatia
CROATIA CROBEX
0.518
2 3
0.486
0
0.501
0.005
1.844
7.965
105.528
Cyprus
CYPRUS GENERAL
0.524
1
0.494
0
0.501
0.005
3.362
13.220
109.736
Czech Republic
PRAGUE SE PX
0.505
[3–6]
0.453
0
0.499
0.007
− 6.031
39.432
72.275
Denmark
OMX COPENHAGEN (OMXC)
0.514
2
0.463
0
0.499
0.006
− 4.141
24.040
80.504
OMX COPENHAGEN (OMXC20)
0.514
2
0.454
0
0.499
0.008
− 4.642
26.610
66.297
Estonia
OMX TALLINN (OMXT)
0.509
2 3
0.453
0
0.499
0.007
− 5.644
36.742
69.621
Finland
OMX HELSINKI (OMXH)
0.518
1
0.500
0 [8–50]
0.501
0.003
4.229
20.731
163.965
France
FRANCE CAC 40
0.505
[1–9]
0.458
0
0.500
0.006
− 6.206
42.539
81.298
SBF 120
0.505
[1–9]
0.454
0
0.500
0.007
− 6.369
43.954
73.868
Germany
DAX 30 PERFORMANCE
0.514
2
0.431
0
0.499
0.010
− 6.182
42.386
49.564
MDAX FRANKFURT
0.509
3
0.422
0
0.499
0.011
− 6.679
46.596
44.906
PRIME ALL SHARE (XETRA)
0.518
2
0.427
0
0.499
0.011
− 5.955
40.462
46.002
Greece
ATHEX COMPOSITE
0.500
[6–50]
0.488
0 1 2
0.499
0.003
− 2.940
7.654
159.558
FTSE/ATHEX LARGE CAP
0.500
[6–50]
0.488
1 2
0.499
0.003
− 3.081
9.081
178.302
Hong Kong
HANG SENG
0.509
2
0.468
0
0.499
0.006
− 4.514
22.529
88.329
HANG SENG CHINA AFFILIATED CORP
0.505
2
0.477
0
0.499
0.004
− 5.072
27.369
133.253
HANG SENG CHINA ENTERPRISES
0.509
2
0.445
0
0.499
0.009
− 5.428
31.527
58.017
Hungary
BUDAPEST (BUX)
0.519
2 3
0.458
0
0.501
0.007
− 3.121
22.725
68.434
Iceland
OMX ICELAND ALL SHARE
0.514
1 2
0.500
[7–50]
0.501
0.003
3.546
13.001
165.438
Ireland
ISEQ ALL SHARE INDEX
0.514
2 3 4
0.463
0
0.500
0.006
− 3.489
24.217
78.581
Israel
ISRAEL TA 125
0.523
0
0.500
[6–50]
0.501
0.004
3.920
17.515
126.334
Italy
FTSE MIB INDEX
0.505
5
0.421
0
0.498
0.012
− 5.911
36.715
41.962
Japan
NIKKEI 225 STOCK AVERAGE
0.517
1
0.500
[4–50]
0.501
0.004
3.545
11.735
139.959
TOPIX
0.526
0
0.500
[4–50]
0.501
0.004
4.623
22.160
113.310
TSE SECOND SECTION
0.526
1
0.500
[3–50]
0.501
0.005
4.274
17.791
102.089
Kazakhstan
MSCI KAZAKHSTAN
0.509
2 3
0.491
1
0.500
0.003
0.822
9.432
200.434
MSCI KAZAKHSTAN U$
0.509
2 3
0.491
1
0.500
0.003
0.822
9.432
200.434
Kuwait
DJ Islamic Market Kuwait
0.505
1 2 3
0.472
0
0.500
0.004
− 6.271
43.554
123.714
Latvia
OMX RIGA (OMXR)
0.505
[10–13]
0.463
0
0.499
0.006
− 6.000
39.837
90.399
Lithuania
OMX VILNIUS (OMXV)
0.504
2 [4–8]
0.439
0
0.499
0.009
− 6.777
47.575
57.276
Luxembourg
LUXEMBOURG SE GENERAL
0.509
[4–7]
0.459
0
0.499
0.007
− 4.185
22.310
70.029
Malaysia
FTSE BURSA MALAYSIA KLCI
0.500
[6–50]
0.486
1
0.499
0.002
− 4.174
20.378
219.740
Malta
MALTA SE MSE
0.510
1
0.500
[2–50]
0.500
0.001
5.654
33.118
338.369
Montenegro
MONTENEGRO SE MONEX
0.506
1 2
0.482
0
0.500
0.003
− 4.926
34.715
176.675
Netherlands
AEX ALL SHARE
0.514
3
0.450
0
0.499
0.008
− 4.650
25.601
59.359
AEX INDEX (AEX)
0.514
3
0.445
0
0.499
0.009
− 4.846
26.221
54.684
New Zealand
S&P/NZX 50
0.500
4 [6–50]
0.472
0
0.499
0.005
− 4.201
18.213
101.422
Norway
OSLO EXCHANGE ALL SHARE
0.505
2 3
0.467
0
0.499
0.006
− 4.876
24.372
88.643
Oman
OMAN MUSCAT SECURITIES MKT
0.509
0
0.500
[2–50]
0.500
0.001
5.654
33.120
354.632
Poland
WARSAW GENERAL INDEX
0.519
3
0.463
0
0.501
0.007
− 2.761
19.523
72.977
Portugal
PORTUGAL PSI ALL-SHARE
0.505
2 3
0.467
0
0.499
0.005
− 6.051
39.932
102.842
PORTUGAL PSI-20
0.505
2 3
0.458
0
0.499
0.006
− 6.429
43.769
81.772
Qatar
MSCI QATAR
0.509
3
0.469
0
0.500
0.005
− 4.997
32.597
102.766
MSCI QATAR $
0.509
3
0.469
0
0.500
0.005
− 4.997
32.597
102.766
Romania
ROMANIA BET (L)
0.505
5 6
0.431
0
0.499
0.010
− 6.669
46.032
50.601
Russia
MOEX RUSSIA INDEX
0.505
2 3 4
0.440
0
0.499
0.009
− 6.714
46.751
58.481
RUSSIA RTS INDEX
0.505
1 3 4
0.444
0
0.499
0.008
− 6.646
46.072
63.137
Saudi Arabia
MSCI SAUDI ARABIA
0.500
2 3 [5–50]
0.448
0
0.499
0.007
− 6.750
46.843
68.313
MSCI SAUDI ARABIA $
0.500
2 3 [5–50]
0.467
0
0.499
0.005
− 6.293
41.657
104.742
Singapore
STRAITS TIMES INDEX L
0.510
[0-5]
0.500
[6–50]
0.501
0.003
2.446
4.144
163.309
Slovakia
SLOVAKIA SAX 16
0.505
1
0.500
0 [2–50]
0.500
0.001
7.141
51.000
764.662
Slovenia
SLOVENIAN BLUE CHIP (SBI TOP)
0.514
2 3
0.477
0
0.501
0.005
− 1.308
13.235
105.358
South Korea
KOREA SE COMPOSITE (KOSPI)
0.500
1 [3–50]
0.459
0
0.499
0.006
− 7.015
49.685
86.853
KOREA SE KOSPI 200
0.505
1
0.454
0
0.499
0.006
− 6.920
48.869
77.686
Spain
IBEX 35
0.514
2
0.449
0
0.500
0.008
− 4.789
30.210
61.181
MADRID SE GENERAL (IGBM)
0.514
2
0.449
0
0.500
0.008
− 4.789
30.210
61.181
Sweden
OMX STOCKHOLM (OMXS)
0.514
3
0.482
1
0.500
0.004
− 1.544
11.137
121.373
OMX STOCKHOLM 30 (OMXS30)
0.514
3
0.486
0
0.500
0.003
0.170
11.270
152.713
Switzerland
SWISS MARKET (SMI)
0.505
2 3 5 6 7
0.440
0
0.499
0.010
− 5.331
29.966
52.025
Turkey
BIST NATIONAL 100
0.505
5 6
0.486
0
0.500
0.003
− 3.281
13.267
179.107
United Arab Emirates
MSCI UAE
0.513
1
0.487
0
0.500
0.003
− 0.335
16.006
174.802
MSCI UAE $
0.513
1
0.491
4
0.500
0.002
2.270
22.026
215.834
United Kingdom
FTSE 100
0.509
1 2 6
0.444
0
0.500
0.008
− 6.088
41.749
60.777
FTSE 250
0.509
1 4 5
0.463
0
0.500
0.006
− 4.808
31.130
85.183
FTSE ALL SHARE
0.509
2 3 6
0.449
0
0.500
0.008
− 5.911
40.311
65.655
FTSE TECHMARK FOCUS (£)
0.509
4
0.463
0
0.500
0.006
− 5.931
40.824
90.912
United States
DOW JONES INDUSTRIALS
0.514
1 2
0.477
0
0.500
0.004
− 1.873
18.181
113.195
NASDAQ 100
0.509
2
0.426
0
0.499
0.010
− 6.914
48.941
48.018
NASDAQ COMPOSITE
0.505
2 6 7
0.431
0
0.499
0.010
− 6.896
48.649
51.156
NYSE COMPOSITE
0.509
1 2 6 7
0.481
0
0.500
0.004
− 1.613
14.685
135.393
RUSSELL 2000
0.519
1
0.463
0
0.500
0.006
− 3.505
25.055
79.248
S&P 500 COMPOSITE
0.509
1 2
0.458
0
0.500
0.006
− 5.839
40.084
80.415
Table 9
Main statistical indicator of \(R_j^{(\zeta )}\) in Eq. (9), at country level. The reference thresholds \(\zeta \)s are reported
Country
Max
\(\varsigma _{\mathrm {{max}}}\)
Min
\(\varsigma _{\mathrm {{min}}}\)
µ
\(\sigma \)
Skew
Kurt
µ/\(\sigma \)
Argentina
0.505
6
0.468
0 1
0.498
0.007
− 4.252
18.219
76.251
Australia
0.514
2
0.454
0
0.499
0.007
− 5.499
36.750
71.468
Austria
0.505
1 3 4 5
0.472
0
0.500
0.004
− 5.806
39.154
120.645
Bahrain
0.551
0
0.500
[2–50]
0.501
0.008
5.654
33.120
64.042
Belgium
0.523
2
0.463
0
0.501
0.007
− 2.665
22.162
75.245
Bulgaria
0.505
[3–6]
0.477
0
0.500
0.003
− 5.628
38.402
144.571
Canada
0.514
2
0.443
0
0.500
0.009
− 5.815
39.342
58.322
Chile
0.509
4 5
0.454
0
0.500
0.008
− 4.796
26.899
66.081
China
0.500
[2–50]
0.493
1
0.500
0.001
− 6.273
41.026
490.895
Croatia
0.518
2 3
0.486
0
0.501
0.005
1.844
7.965
105.528
Cyprus
0.524
1
0.494
0
0.501
0.005
3.362
13.220
109.736
Czech Republic
0.505
[3–6]
0.453
0
0.499
0.007
− 6.031
39.432
72.275
Denmark
0.514
2
0.459
0
0.499
0.007
− 4.427
25.467
72.761
Estonia
0.509
2 3
0.453
0
0.499
0.007
− 5.644
36.742
69.621
Finland
0.518
1
0.500
0 [8–50]
0.501
0.003
4.229
20.731
163.965
France
0.505
[1–9]
0.456
0
0.500
0.007
− 6.293
43.293
77.413
Germany
0.512
2
0.427
0
0.499
0.011
− 6.375
43.869
46.941
Greece
0.500
[6–50]
0.488
1 2
0.499
0.003
− 2.933
7.776
169.887
Hong Kong
0.508
2
0.463
0
0.499
0.006
− 5.076
27.686
83.566
Hungary
0.519
2 3
0.458
0
0.501
0.007
− 3.121
22.725
68.434
Iceland
0.514
1 2
0.500
[7–50]
0.501
0.003
3.546
13.001
165.438
Ireland
0.514
2 3 4
0.463
0
0.500
0.006
− 3.489
24.217
78.581
Israel
0.523
0
0.500
[6–50]
0.501
0.004
3.920
17.515
126.334
Italy
0.505
5
0.421
0
0.498
0.012
− 5.911
36.715
41.962
Japan
0.520
0 1
0.500
[4–50]
0.501
0.004
4.058
15.910
119.395
Kazakhstan
0.509
2 3
0.491
1
0.500
0.003
0.822
9.432
200.434
Kuwait
0.505
1 2 3
0.472
0
0.500
0.004
− 6.271
43.554
123.714
Latvia
0.505
[10–13]
0.463
0
0.499
0.006
− 6.000
39.837
90.399
Lithuania
0.504
2 [4–8]
0.439
0
0.499
0.009
− 6.777
47.575
57.276
Luxembourg
0.509
[4–7]
0.459
0
0.499
0.007
− 4.185
22.310
70.029
Malaysia
0.500
[6–50]
0.486
1
0.499
0.002
− 4.174
20.378
219.740
Malta
0.510
1
0.500
[2–50]
0.500
0.001
5.654
33.118
338.369
Montenegro
0.506
1 2
0.482
0
0.500
0.003
− 4.926
34.715
176.675
Netherlands
0.514
3
0.447
0
0.499
0.009
− 4.779
26.089
57.020
New Zealand
0.500
4 [6–50]
0.472
0
0.499
0.005
− 4.201
18.213
101.422
Norway
0.505
2 3
0.467
0
0.499
0.006
− 4.876
24.372
88.643
Oman
0.509
0
0.500
[2–50]
0.500
0.001
5.654
33.120
354.632
Poland
0.519
3
0.463
0
0.501
0.007
− 2.761
19.523
72.977
Portugal
0.505
2 3
0.462
0
0.499
0.006
− 6.268
42.134
91.164
Qatar
0.509
3
0.469
0
0.500
0.005
− 4.997
32.597
102.766
Romania
0.505
5 6
0.431
0
0.499
0.010
− 6.669
46.032
50.601
Russia
0.505
3 4
0.442
0
0.499
0.008
− 6.959
49.302
61.592
Saudi Arabia
0.500
2 3 [5–50]
0.458
0
0.499
0.006
− 6.584
44.984
82.818
Singapore
0.510
[0–5]
0.500
[6–50]
0.501
0.003
2.446
4.144
163.309
Slovakia
0.505
1
0.500
0 [2–50]
0.500
0.001
7.141
51.000
764.662
Slovenia
0.514
2 3
0.477
0
0.501
0.005
− 1.308
13.235
105.358
South Korea
0.502
1
0.456
0
0.499
0.006
− 6.994
49.508
82.115
Spain
0.514
2
0.449
0
0.500
0.008
− 4.789
30.210
61.181
Sweden
0.514
3
0.486
0
0.500
0.004
− 0.416
9.080
138.936
Switzerland
0.505
2 3 5 6 7
0.440
0
0.499
0.010
− 5.331
29.966
52.025
Turkey
0.505
5 6
0.486
0
0.500
0.003
− 3.281
13.267
179.107
United Arab Emirates
0.513
1
0.491
0 4
0.500
0.003
1.175
17.126
197.300
United Kingdom
0.507
4 6
0.455
0
0.500
0.007
− 6.185
42.517
75.195
United States
0.509
2
0.456
0
0.500
0.007
− 6.095
42.091
77.219

6 Conclusions

The study investigates the relationship between the Google search volumes of “coronavirus” and the stock index prices. The first wave of the pandemic has been considered to include the financial distress that occurred in the prompt reaction to the initial events. The analysis is carried out at the country level. Thus, the word “coronavirus” has been opportunely translated with the appropriate language when needed. Such an analysis allows for mapping interrelationships between COVID-19 anxiety in nations and lack of trust in stock markets’ future performance. These aspects are related to the uncertainty surrounding the evolution of the pandemic and expectations about its effects. In our framework, we follow Rovetta and Castaldo (2020); Monzani et al. (2021); Fetzer et al. (2021); Binder (2020) and hypothesise that anxiety is manifested via the intensity of the searches run on Google and related to the virus.
The proposed indicators allow for capturing the changes in moods over time—for the case of the \(A_j\) presented in Eq. (2) and (3)—and also facilitate classification of countries under a more global perspective on the overall considered period—see \(H_j\) presented in Eq. (6) and (7) and \(R_j\) in (8) and (9). Moreover, \(A_j\) accounts for the values of Google searches and prices, while \(H_j\) and \(R_j\) compare the daily increments/decrements of such quantities.
To make research on a reasonably homogeneous setting and for a fair treatment of the considered dataset, we have taken into consideration only “very high human developed countries”—i.e. those with an HDI greater than 0.8—and have added China for its relevance in the studied phenomenon. Some countries with HDI greater than 0.8 but without an associated stock index had to be removed from the list to respect the formulation of the mood indicators proposed.
The study allows a panoramic view of the evolution of the mood related to the pandemic in its first wave, jointly considering the behaviour of people and the stock markets. Furthermore, the country-level approach gives insights into similarities and discrepancies of the different populations regarding the link between anxiety about COVID-19 and the expectations about stock market performance.
In conclusion, we offer some considerations that emerged while designing this study. Those might be seen as open questions that keep the scientific debate ongoing.
Taking Google searches of the word “coronavirus” ( and its translations in suitable languages depending on the country) presents the limitation of narrowing the analysis to only one word. Even if it is a crucial word in the search data about the pandemic, we reckon it can be seen as a limitation. A wider selection of terms to be tested for creating an aggregated indicator of Google searches related to the pandemic might lead to a more comprehensive view of the pandemic’s anxiety but also to its overestimation or to an equally biased recording of it. Selecting more words would increase the computational complexity of the empirical experiments while providing a less intuitive definition of mood indicators. Such complexity would also be expressed by the inevitable discussion around semantic and contextual meanings triggered by the selection of words to include, and its resolution does not present straightforward answers. The employment of tools from the field of Natural Language Processing field might help, but that would initiate a new thread of research requiring a different methodological toolkit.
On the methodological front, other devices could be exploited to capture the population’s mood during a pandemic. Referring to the literature discussed in the first two sections of this paper, the most prominent examples are based on surveys to be submitted to a sample of the population. This would be extremely interesting but also challenging and expensive, especially to have a global view comparable to the one presented here. Indeed, one should contact groups of qualified citizens in the countries considered and/or use professional services to gather data in those countries (e.g. one has to have questions translated in all the languages). It is certainly an interesting research item to add to researchers’ agenda whose working tools include primary data collection, maybe involving colleagues in various places of the world. On the other hand, for researchers comfortable with secondary data collection, the exploration of the interconnections between stock markets and the evolution of COVID-19 is a very interesting challenge that would complete the view in this arena. Such exploration is of pivotal interest for grounding the reactions to the pandemic (with a focus on investment decisions) on the official data on COVID-19 and its complex interrelations with the patterns of the stock markets.
In designing the present study, we have considered these challenges and open questions; in fact, we carefully developed the indicators so that the non-explored areas in this field do not undermine the results presented.

Acknowledgements

The authors sincerely thank Prof. Anna Maria D’Arcangelis for helpful discussions.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://​creativecommons.​org/​licenses/​by/​4.​0/​.

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Footnotes
1
The data that support the findings of this study are available from the corresponding author upon request
 
2
It is worth recalling that both quantities are ranging between 0 and 100.
 
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Metadata
Title
Anxiety about the pandemic and trust in financial markets
Authors
Roy Cerqueti
Valerio Ficcadenti
Publication date
15-09-2023
Publisher
Springer Berlin Heidelberg
Published in
The Annals of Regional Science / Issue 4/2024
Print ISSN: 0570-1864
Electronic ISSN: 1432-0592
DOI
https://doi.org/10.1007/s00168-023-01243-0