A New SVAR Model Based on Standardized Standard Asymmetric Exponential Power Distribution

Authors

  • Tianyu Long

DOI:

https://doi.org/10.54097/d3rzmt24

Keywords:

Structural Vector Autoregressive Regression (SVAR); Standardized Standard Asymmetric Exponential Power Distribution (SSAEPD); Classic Keynesian Theory, Impulse Response Function (IRF).

Abstract

This paper introduces a novel Structural Vector Autoregressive (SVAR) model incorporating non-Normal marginal errors described by the Standardized Standard Asymmetric Exponential Power Distribution (SSAEPD). This innovation allows the model to effectively capture the inherent skewness and kurtosis typically observed in financial data. Utilizing Markov Chain Monte Carlo (MCMC) techniques for simulating error terms and Maximum Likelihood Estimation (MLE) for parameter estimation in MATLAB, the model's robustness is significantly enhanced. We employ Impulse-Response Function (IRF) and Variance Decomposition (VD) for structural analysis to examine the relevance of classic Keynesian theory in today's US economic context. Our empirical findings suggest that the SSAEPD-enhanced SVAR model not only outperforms traditional SVAR models in capturing data characteristics but also aligns more closely with Keynesian principles. The results underscore the continued applicability of the IS-LM framework in understanding contemporary economic dynamics, demonstrating the model's superior performance in variance decomposition and structural analysis.

Downloads

Download data is not yet available.

References

Bernanke B S. Alternative explanations of the money-income correlation. 1986.

Shapiro M D, Watson M W. Sources of business cycle fluctuations. NBER Macroeconomics Annual, 1988, 3: 111-148.

Sims C A. Are forecasting models usable for policy analysis?. Quarterly Review, 1986, 10(Win): 2-16.

Blanchard O J. A traditional interpretation of macroeconomic fluctuations. The American Economic Review, 1989: 1146-1164.

Wieland V, Cwik T, Müller G J, et al. A new comparative approach to macroeconomic modeling and policy analysis. Journal of Economic Behavior & Organization, 2012, 83(3): 523-541.

Zhu D, Zinde-Walsh V. Properties and estimation of asymmetric exponential power distribution. Journal of Econometrics, 2009, 148(1): 86-99.

Loría E, Sánchez A, Salgado U. New evidence on the monetary approach of exchange rate determination in Mexico 1994–2007: A cointegrated SVAR model. Journal of International Money and Finance, 2010, 29(3): 540-554.

Wollack J A, Bolt D M, Cohen A S, et al. Recovery of item parameters in the nominal response model: A comparison of marginal maximum likelihood estimation and Markov chain Monte Carlo estimation. Applied Psychological Measurement, 2002, 26(3): 339-352.

Jondeau E, Le Bihan H. Testing for the new Keynesian Phillips curve. Additional international evidence. Economic Modelling, 2005, 22(3): 521-550.

Arias J, Rubio-Ramirez J F, Waggoner D F. Inference based on SVARs identified with sign and zero restrictions: Theory and applications. 2014.

Jin H. Analysis of CAPM based on Asymmetric Exponential Power Distribution. Master dissertation, 2011.

Sancetta A, Satchell S. The Bernstein copula and its applications to modeling and approximations of multivariate distributions. Econometric Theory, 2004, 20(3): 535-562.

Theodossiou P. Skewed generalized error distribution of financial assets and option pricing. Multinational Finance Journal, 2015, 19(4): 223-266.

Komunjer I. Asymmetric power distribution: Theory and applications to risk measurement. Journal of Applied Econometrics, 2007, 22(5): 891-921.

Bali T G, Wu L. A comprehensive analysis of the short-term interest-rate dynamics. Journal of Banking & Finance, 2006, 30(4): 1269-1290.

Amisano G, Giannini C, Amisano G, et al. From var models to structural var models. Topics in Structural VAR Econometrics, 1997: 1-28.

Lütkepohl H, Krätzig M. Applied time series econometrics. Cambridge University Press, 2004.

Zivot E, Wang J. Vector autoregressive models for multivariate time series. Modeling Financial Time Series with S-PLUS®, 2006: 385-429.

Breitung E M, Shu C F, McMahon R J. Thiazole and thiophene analogues of donor− acceptor stilbenes: molecular hyperpolarizabilities and structure− property relationships. Journal of the American Chemical Society, 2000, 122(6): 1154-1160.

Tsay R S. An introduction to analysis of financial data with R. John Wiley & Sons, 2014.

Henry S B, Pagan A. The econometrics of the new keynesian policy model: Introduction. Oxford Bulletin of Economics & Statistics, 2004, 66(S1): 581-607.

Breitung J. A parametric approach to the estimation of cointegration vectors in panel data. Econometric Reviews, 2005, 24(2): 151-173.

Mohr M. On the macroeconomic impact of fiscal policy in Germany–Preliminary results of a SVAR approach. Available at SSRN 2094361, 2002.

Downloads

Published

15-05-2024

Issue

Section

Articles

How to Cite

Long, T. (2024). A New SVAR Model Based on Standardized Standard Asymmetric Exponential Power Distribution. Frontiers in Business, Economics and Management, 15(1), 411-426. https://doi.org/10.54097/d3rzmt24