"It is now widely accepted that excess returns are predictable" (Lettau and Lud- vigson, 2001). However, there also have been authors nding otherwise, claiming that most of the predictive models are \unstable or even spurious" (Welch and Goyal, 2008). This paper proposes a model of learning through which we can investigate the behav- ior of an investor under such ambiguous circumstances. The proposed model describes how observations are translated into a set of probability measures that represents the investor's view of the immediate future; and I explicitly characterize the set's evolution up to a system of dierential equations that generalizes the Kalman-Bucy lter in the presence of ambiguity. The model of learning is then applied to the portfolio choice problem of a log investor; and learning under ambiguity is seen to have a signicant eect on hedging demand|under a reasonable calibration, the optimal demand for the risky asset at zero instantaneous equity premium decreases, as the investor loses condence, by half of wealth.
목차
Abstract 1 Introduction 2 Overview 2.1 The Model of Learning 2.2 Portfolio Choice 2.3 Related Papers 3 The Model of Learning under Ambiguity 3.1 Preferences: Recursive Multiple-Priors 3.2 The Theories 3.3 The Preferential Priors 3.4 Discussion 4 Portfolio Choice 4.1 The Setup 4.2 Optimal Consumption and Portfolio 4.3 Markovian Characterization 4.4 Examples References Supplementary Appendix toLearning under Ambiguous Reversion
저자
Hongseok Choi [ Republic of Korea Air Force Academy; Cheongju, Chungbuk 360-849, Republic of Korea ]