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Erschienen in: Journal of Quantitative Economics 1/2023

11.01.2023 | Original Article

Nowcasting India’s Quarterly GDP Growth: A Factor-Augmented Time-Varying Coefficient Regression Model (FA-TVCRM)

verfasst von: Rudrani Bhattacharya, Bornali Bhandari, Sudipto Mundle

Erschienen in: Journal of Quantitative Economics | Ausgabe 1/2023

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Abstract

Governments, central banks, private firms and others need high frequency information on the state of the economy for their decision making. However, a key indicator like GDP is only available quarterly and that too with a lag. Hence decision makers use high frequency daily, weekly or monthly information to project GDP growth in a given quarter. This method, known as nowcasting, started out in advanced country central banks using bridge models. Nowcasting is now based on more advanced techniques, mostly dynamic factor models. In this paper we use a novel approach, a Factor Augmented Time Varying Coefficient Regression (FA-TVCR) model, which allows us to extract information from a large number of high frequency indicators and at the same time inherently addresses the issue of frequent structural breaks encountered in Indian GDP growth. One specification of the FA-TVCR model is estimated using 19 variables available for a long period starting in 2007–08:Q1. Another specification estimates the model using a larger set of 28 indicators available for a shorter period starting in 2015–16:Q1. Comparing our model with two alternative models, we find that the FA-TVCR model outperforms a Dynamic Factor Model (DFM) model and a univariate Autoregressive Integrated Moving Average (ARIMA) model in terms of both in-sample and out-of-sample Root Mean Square Error (RMSE). Further, comparing the predictive power of the three models using the Diebold-Mariano test, we find that FA-TVCR model outperforms DFM consistently. In terms of out-of-sample forecast accuracy both the FA-TVCR model and the ARIMA model have the same predictive accuracy under normal conditions. However, the FA-TVCR model outperforms the ARIMA model when applied for nowcasting in periods of major shocks like the Covid–19 shock of 2020–21.

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Fußnoten
1
Basu (2020) found four structural breaks in post-Independence India—1964–65, 1978, 1990–91 and in 2004–05. Much of the Indian empirical literature has examined structural breaks for India pre–2011–12 (the Great Financial Recession). However, Kar & Sen (2016) and Subramanian & Felman (2019) amongst others have presented evidence of a sharp economic slowdown post 2011–12.
 
2
Since this method attaches equal weights to all the monthly observations in a quarter, more complex weighting schemes, widely known as “Mixed Data Sampling (MIDAS)” method (Marcellino and Schumacher, 2010; Forni and Marcellino, 2014) have been applied to both regression and DFM structure. We are unable to apply this method for nowcasting Indian GDP growth because of the paucity of data.
 
3
In India, the financial year calendar starts from 1st April of a particular calendar year to 31st March of the following year. Thus 2004–05: Q1 refers to the April–June quarter in the year 2004. In this paper we have followed the Indian financial year calendar.
 
4
The unit root test results are available from the authors on request.
 
5
We choose three factors as only 78 percent of the variation is explained by the first two factors.
 
6
Given that the data on consumption of finished steel products are available from December, 2013, the quarterly y-o-y growth of this indicator is available from the quarter Jan-Mar, 2015. Consequently, we have 24 observations for each of 28 indicators. Since the number of observations is less than the number of variables, the factor matrices are rank deficient and ML Estimator technique is not applicable (Robertson and Sumons, 2007). Hence we apply Iterated Principal Factor method in this stage.
 
7
The model is estimated with the indicators standardized using their respective mean and standard deviation which is a standard practice in the estimation of forecasting models.
 
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Metadaten
Titel
Nowcasting India’s Quarterly GDP Growth: A Factor-Augmented Time-Varying Coefficient Regression Model (FA-TVCRM)
verfasst von
Rudrani Bhattacharya
Bornali Bhandari
Sudipto Mundle
Publikationsdatum
11.01.2023
Verlag
Springer India
Erschienen in
Journal of Quantitative Economics / Ausgabe 1/2023
Print ISSN: 0971-1554
Elektronische ISSN: 2364-1045
DOI
https://doi.org/10.1007/s40953-022-00335-6

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