On the Time-Varying Structure of the Arbitrage Pricing Theory using the Japanese Sector Indices (2305.05998v4)
Abstract: This paper is the first study to examine the time instability of the APT in the Japanese stock market. In particular, we measure how changes in each risk factor affect the stock risk premiums to investigate the validity of the APT over time, applying the rolling window method to Fama and MacBeth's (1973) two-step regression and Kamstra and Shi's (2023) generalized GRS test. We summarize our empirical results as follows: (1) the changes in monetary policy by major central banks greatly affect the validity of the APT in Japan, and (2) the time-varying estimates of the risk premiums for each factor are also unstable over time, and they are affected by the business cycle and economic crises. Therefore, we conclude that the validity of the APT as an appropriate model to explain the Japanese sector index is not stable over time.
- Aslam, F., Aziz, S., Nguyen, D. K., Mughal, K. S., and Khan, M. (2020), “On the Efficiency of Foreign Exchange Markets in Times of the COVID-19 Pandemic,” Technological Forecasting & Social Change, 161, 120261.
- Azeez, A. A. and Yonezawa, Y. (2006), “Macroeconomic Factors and the Empirical Content of the Arbitrage Pricing Theory in the Japanese Stock Market,” Japan and the World Economy, 18, 568–591.
- Baker, S. R., Bloom, N., and Davis, S. J. (2016), “Measuring Economic Policy Uncertainty,” Quarterly Journal of Economics, 131, 1593–1636.
- Bansal, R., Miller, S., Song, D., and Yaron, A. (2021), “The Term Structure of Equity Risk Premia,” Journal of Financial Economics, 142, 1209–1228.
- Chen, N., Roll, R., and Ross, S. A. (1986), “Economic Forces and the Stock Market,” Journal of Business, 59, 383–403.
- Choudhry, T., Lu, L., and Peng, K. (2007), “Common Stochastic Trends among Far East stock Prices: Effects of the Asian Financial Crisis,” International Review of Financial Analysis, 16, 242–261.
- Diebold, F. X. and Yilmaz, K. (2012), “Better to Give than to Receive: Predictive Directional Measurement of Volatility Spillovers,” International Journal of Forecasting, 28, 57–66.
- — (2014), “On the Network Topology of Variance Decompositions: Measuring the Connectedness of Financial Firms,” Journal of Econometrics, 182, 119–134.
- Doukas, J., Hall, P. H., and Lang, L. H. P. (1999), “The Pricing of Currency Risk in Japan,” Journal of Banking & Finance, 23, 1–20.
- Fama, E. F. and French, K. R. (1993), “Common Risk Factors in the Returns on Stocks and Bonds,” Journal of Financial Economics, 33, 3–56.
- — (2015), “A Five-Factor Asset Pricing Model,” Journal of Financial Economics, 116, 1–22.
- — (2016), “Dissecting Anomalies with a Five-Factor Model,” Review of Financial Studies, 29, 69–103.
- Fama, E. F. and Gibbons, M. R. (1984), “A Comparison of Inflation Forecasts,” Journal of Monetary Economics, 13, 327–348.
- Fama, E. F. and MacBeth, J. D. (1973), “Risk, Return, and Equilibrium: Empirical Tests,” Journal of Political Economy, 81, 607–636.
- Finta, M. A. and Aboura, S. (2020), “Risk Premium Spillovers among Stock Markets: Evidence from Higher-Order Moments,” Journal of Financial Markets, 49, 100533.
- Fukuda, S. (2018), “Impacts of Japan’s Negative Interest Rate Policy on Asian Financial Markets,” Pacific Economic Review, 23, 67–79.
- Gibbons, M. R., Ross, S. A., and Shanken, J. (1989), “A Test of the Efficiency of a Given Portfolio,” Econometrica, 57, 1121–1152.
- Greenwood-Nimmo, M., Nguyen, V. H., and Shin, Y. (2021), “Measuring the Connectedness of the Global Economy,” International Journal of Forecasting, 37, 899–919.
- Hamao, Y. (1988), “An Empirical Examination of the Arbitrage Pricing Theory: Using Japanese Data,” Japan and the World Economy, 1, 45–61.
- Hansen, L. P. (1982), “Large Sample Properties of Generalized Method of Moments Estimators,” Econometrica, 50, 1029–1054.
- Hansen, L. P., Heaton, J., and Yaron, A. (1996), “Finite-Sample Properties of Some Alternative GMM Estimators,” Journal of Business & Economic Statistics, 14, 262–280.
- Hansen, L. P. and Jagannathan, R. (1997), “Assessing Specification Errors in Stochastic Discount Factor Models,” Journal of Finance, 52, 557–590.
- Harada, K. and Okimoto, T. (2021), “The BOJ’s ETF Purchases and Its Effects on Nikkei 225 Stocks,” International Review of Financial Analysis, 77, 101826.
- He, J. and Ng, K. (1998), “The Foreign Exchange Exposure of Japanese Multinational Corporations,” Journal of Finance, 53, 733–753.
- Homma, T., Tsutsui, Y., and Benzion, U. (2005), “Exchange Rate and Stock Prices in Japan,” Applied Financial Economics, 15, 469–478.
- Hui, C., Wong, A., and Lo, C. (2022), “A Note on Modelling Yield Curve Control: A Target-Zone Approach,” Finance Research Letters, 49, 103076.
- Inoue, T. and Okimoto, T. (2022a), “How does Unconventional Monetary Policy Affect the Global Financial Markets?” Empirical Economics, 62, 1013–1036.
- — (2022b), “International Spillover Effects of Unconventional Monetary Policies of Major Central Banks,” International Review of Financial Analysis, 79, 101968.
- Ito, M., Noda, A., and Wada, T. (2016), “The Evolution of Stock Market Efficiency in the US: A Non-Bayesian Time-Varying Model Approach,” Applied Economics, 48, 621–635.
- Kamstra, M, J. and Shi, R. (2023), “Testing and Ranking of Asset Pricing Models Using the GRS Statistic,” Available at Social Science Research Network: http://dx.doi.org/10.2139/ssrn.4374415.
- Kaneko, T. and Lee, B. (1995), “Relative Importance of Economic Factors in the U.S. and Japanese Stock Markets,” Journal of the Japanese and International Economies, 9, 290–307.
- Kim, J. H., Shamsuddin, A., and Lim, K. P. (2011), “Stock Return Predictability and the Adaptive Markets Hypothesis: Evidence from Century-Long U.S. Data,” Journal of Empirical Finance, 18, 868–879.
- Lintner, J. (1965), “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets,” Review of Economics and Statistics, 47, 13–37.
- Merton, R. C. (1973), “An Intertemporal Capital Asset Pricing Model,” Econometrica, 41, 867–887.
- Noda, A. (2016), “A Test of the Adaptive Market Hypothesis using A Time-Varying AR Model in Japan,” Finance Research Letters, 17, 66–71.
- Okimoto, T. and Takaoka, S. (2017), “The Term Structure of Credit Spreads and Business Cycle in Japan,” Journal of the Japanese and International Economies, 45, 27–36.
- — (2022), “The Credit Spread Curve Distribution and Economic Fluctuations in Japan,” Journal of International Money and Finance, 122, 102582.
- Ren, Y. and Shimotsu, K. (2009), “Improvement in Finite Sample Properties of the HansenâJagannathan Distance Test,” Journal of Empirical Finance, 16, 483–506.
- Roll, R. (1977), “A Critique of the Asset Pricing Theory’s Tests Part I: On Past and Potential Testability of the Theory,” Journal of Financial Economics, 4, 129–176.
- Ross, S. A. (1976), “The Arbitrage Theory of Capital Asset Pricing,” Journal of Economic Theory, 13, 341–360.
- Sargan, J. D. and Bhargava, A. (1983), “Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors when the Root Lies on the Unit Circle,” Econometrica, 51, 799–820.
- Schwarz, G. (1978), “Estimating the Dimension of a Model,” Annals of Statistics, 6, 461–464.
- Shaikh, I. (2019), “On the Relationship between Economic Policy Uncertainty and the Implied Volatility Index,” Sustainability, 11.
- Shanken, J. (1992), “On the Estimation of Beta-Pricing Models,” Review of Financial Studies, 5, 1–33.
- Sharpe, W. F. (1964), “Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk,” Journal of Finance, 19, 425–442.
- Silvennoinen, A. and Thorp, S. (2013), “Financialization, Crisis and Commodity Correlation Dynamics,” Journal of International Financial Markets, Institutions & Money, 24, 42–65.
- Thorbecke, W. (2020), “How the Coronavirus Crisis Affected Japanese Industries: Evidence from the Stock Market,” RIETI Discussion Paper Series 20-E-061.
- Thuraisamy, K. S., Sharma, S. S., and Ahmed, H. J. A. (2013), “The Relationship between Asian Equity and Commodity Futures Markets,” Journal of Asian Economics, 28, 67–75.
- Tsuji, C. (2007), “What Macro-Innovation Risks Really Are Priced in Japan ?” Applied Financial Economics, 17, 1085–1099.
- Yang, Z., Zhou, Y., and Cheng, X. (2019), “Systemic Risk in Global Volatility Spillover Networks: Evidence from Option-Implied Volatility Indices,” Journal of Futures Markets, 40, 392–409.
- Zhang, W. and Hamori, S. (2021), “Crude Oil Market and Stock Markets during the COVID-19 Pandemic: Evidence from the US, Japan, and Germany,” International Review of Financial Analysis, 74, 101702.
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