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arXiv · 2004.10096

Wealth Effect on Portfolio Allocation in Incomplete Markets

Chenxu Li·Olivier Scaillet·Yiwen Shen
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Abstract

We develop a novel five-component decomposition of optimal dynamic portfolio choice, which reveals the simultaneous impacts from market incompleteness and wealth-dependent utilities. Under the HARA utility and a nonrandom interest rate, we can explicitly solve for the optimal policy as a combination of a bond holding scheme and the corresponding simpler CRRA strategy. Under a stochastic volatility model estimated on US equity data, we use closed-form solution to demonstrate the sophisticated impacts from the wealth-dependent utilities, including cycle-dependence and hysteresis effect in optimal portfolio allocation, as well as a risk-return trade-off in investment performance.

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Chenxu Li, Olivier Scaillet, Yiwen Shen. 2020-04-21. Wealth Effect on Portfolio Allocation in Incomplete Markets. https://arxiv.org/abs/2004.10096

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