Business Cycle Implication of Long-Run Risk Consumption CAPM: Korean Stock Market Evidence

Abstract

This paper examines long-run consumption based asset pricing models by studying sixteen Fama-French size and book-to-market portfolios in KRX (Korea Exchange) as test assets. In our empirical implementation, we follow both models of Hansen, Heaton and Li (2008) and Parker and Julliard (2005). Hansen, Heaton and Li (2008) used recursive utility framework. The stochastic discount factor for this model depends on the present value of expectations about future consumption growth rates. In the empirical specification for this model, we follow Malloy, Moskowiz and Vissing-Jørgensen (2008). Meanwhile, Parker and Julliard (2005) proposed a model based upon the power utility framework and explicitly considers the consumption adjustment period. Our main results are surprisingly consistent with the results of existing literatures. By assessing both of these models, we find that the significance of the excess returns of the test assets in predicting consumption growth peaks at the horizon of 2.5 years. These empirical results partly proves the existence of long-run consumption risk in Korean economy. We can relate stock returns to long-run consumption risk and business cycle. Specifically, the stochastic discount factor of Parker and Julliard’s model captures the financial crises in the years of 1997 and 2003. Moreover, it catches the business cycle pattern of composite leading index in Korea.