Dynamic asset allocation with ambiguous return predictability |
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Institution: | 1. Shanghai Advanced Institute of Finance, Shanghai Jiatong University, China;2. The Haas School of Business, University of California, Berkeley, CA 94720, United States;3. The Robert H. Smith School of Business, University of Maryland, College Park, MD 20742, United States;4. African Economic Research Consortium (www.aercafrica.org), Nairobi, Kenya;1. Trinity College Dublin, College Green, Dublin 2, Ireland;2. Smurfit School of Business, University College Dublin, Blackrock, Co. Dublin, Ireland;3. Finance and Accounting Department, Universitat Jaume I, Avda. Sos Baynat s/n, E-12071 Castellon Spain |
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Abstract: | We study an investor's optimal consumption and portfolio choice problem when he is confronted with two possibly misspecified submodels of stock returns: one with IID returns and the other with predictability. We adopt a generalized recursive ambiguity model to accommodate the investor's aversion to model uncertainty. The investor deals with specification doubts by slanting his beliefs about submodels of returns pessimistically, causing his investment strategy to be more conservative than the Bayesian strategy. Unlike in the Bayesian framework, the hedging demand against model uncertainty may cause the investor's stock allocation to decrease sharply given a small doubt of return predictability, even though the expected return according to the VAR model is large. Over much of the parameter space, the robust strategy is very close to the Bayesian strategy with Epstein–Zin preferences and risk aversion chosen to match the same average portfolio holdings. This is true in particular when the IID model is unlikely and the dividend yield is low, as in recent years. However, differences in strategies can be substantial if the IID model is unlikely and the dividend yield is high. |
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Keywords: | Ambiguity aversion Model uncertainty Learning Portfolio choice Robustness Return predictability Model misspecification |
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