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Optimal investment and consumption with forward preferences and uncertain parameters

2018/07/03 by Wing Fung Chong, Chong, Wing Fung, Gechun Liang +1
Economics, Econometrics and Finance · #Economic theories and models #Capital Investment and Risk Analysis #Climate Change Policy and Economics

paper · pdf · doi:10.48550/arxiv.1807.01186

Abstract

This paper studies robust forward investment and consumption preferences within a zero-volatility context. Different from previous works, we consider an incomplete financial market model due to general investment portfolio constraints. We provide a new PDE characterization and a novel semi-explicit saddle-point construction of forward preferences and optimal strategies. We further present a more detailed construction of forward preferences and optimal strategies under constant relative risk aversion (CRRA). Key findings emphasize the necessity of a specific relationship between the initial investment preference and the forward consumption preference, indicating a long-term decreasing trend in forward consumption preference behavior.

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