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Erschienen in: Empirical Economics 4/2018

29.08.2017

Can oil prices help predict US stock market returns? Evidence using a dynamic model averaging (DMA) approach

verfasst von: Hanan Naser, Fatema Alaali

Erschienen in: Empirical Economics | Ausgabe 4/2018

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Abstract

Crude oil price behaviour has fluctuated wildly since 1973 which has a major impact on key macroeconomic variables. Although the relationship between stock market returns and oil price changes has been scrutinized excessively in the literature, the possibility of predicting future stock market returns using oil prices has attracted less attention. This paper investigates the ability of oil prices to predict S&P 500 price index returns with the use of other macroeconomic and financial variables. Including all the potential variables in a forecasting model may result in an over-fitted model. So instead, dynamic model averaging (DMA) and dynamic model selection (DMS) are applied to utilize their ability of allowing the best forecasting model to change over time while parameters are also allowed to change. The empirical evidence shows that applying the DMA/DMS approach leads to significant improvements in forecasting performance in comparison to other forecasting methodologies and the performance of these models are better when oil prices are included within predictors.

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Fußnoten
1
The pioneering work in the field of stock market research which is established by Chen et al. (1986) has investigated the effects of movements in macroeconomic variables on future dividends and discount rate, which consequently disturbs stock prices in the US. However, they argue that there is a long term relationship between macroeconomic variables and stock market.
 
2
Naser (2016) has examined the performance of DMA model in forecasting the prices of oil using a large data set. It is found that the performance of forecasting has significantly improved using the DMA which accounts for both time and model uncertainty.
 
3
Explanatory variables are all transformed to be stationary. For more details, see Sect. (3).
 
4
For more information, see Koop and Korobilis (2012).
 
5
For a complete description of Bayesian estimation of state-space model see Koop (2003), Kim and Nelson (1999).
 
6
As \(\lambda \) decreases, a greater and greater degree of coefficients change is allowed. As \(\lambda \rightarrow 0\), only most recent observations is used for forecasting. It is worth noting that McCormick et al. (2012) has improved on these methods by proposing an adaptive updating approach to specifying \(\lambda \).
 
7
For instance, if monthly data are used with \(\alpha =0.99\) then the forecasting model used 3 years ago receives around 70% as much weight as the forecasting model used last period. If \(\alpha =0.95\) then forecast performance 3 years ago receives only 16% weight.
 
8
Raftery et al. (2010) explain in details the use of this approximation
 
9
Note that, Grassi and de Magistris (2015) suggest that one could choose values for \(\lambda \) and \(\alpha \) on the basis of the forecast performance, however; this would not only bias the findings in favor of DMA, it is also not a valid procedure for the out-of-sample forecasting (Koop and Korobilis 2012). Hence, following Koop and Korobilis (2012), the values for the forgetting factors are simply selected to vary from 0.93 to 1.0.
 
10
Since Rapach et al. (2005) have used a univariate AR process to evaluate the performance of stock returns predictability without any information from other variables, this paper employs three classical models (i.e. with no TVP) including the random walk, single autoregressive, and multivariate simple regression model, to evaluate the forecast performance of the DMA and DMS models as shown in Sect. 4.
 
12
ADF and PPerron are the Augmented Dickey Fuller and Phillips–Perron tests with the null hypotheses of unit root and KPSS test is based on a null hypothesis of stationary time series.
 
13
Mollick and Assefa (2013) identify the crisis of 2008–2009 as a significant period of economic contraction and subsequent ‘recovery’, then stability of the stock-oil relationship has been checked by using GARCH and MGARCH-DCC models. Prior to the financial crisis, Mollick and Assefa (2013) find that stock returns are slightly (negatively) affected by oil prices. For the sub-sample of mid-2009 onwards, however, it is found that stock returns are positively affected by oil prices. In addition. it is worth to note that in periods of significant economic turmoil the oil market is not a safe haven for offering protection against stock market losses (Filis et al. 2011).
 
15
For more information on selecting the values of forgetting factors, see Koop and Korobilis (2012).
 
16
Results are available upon request.
 
17
Basically, the dynamic model approach considers even the lags of the dependent and independent variables in model averaging and model selection. Accordingly, with two lags of the dependent variable, the total number of potential predictors come up to 13 potential predictors which increased the total number of possible models to 8192.
 
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Metadaten
Titel
Can oil prices help predict US stock market returns? Evidence using a dynamic model averaging (DMA) approach
verfasst von
Hanan Naser
Fatema Alaali
Publikationsdatum
29.08.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Empirical Economics / Ausgabe 4/2018
Print ISSN: 0377-7332
Elektronische ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-017-1323-5

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