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How does a change in downside risk affect optimal demand for a risky asset?: Comparative statics on Tail Conditional Expectation

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  • Nakamura, Kazuki

Abstract

This paper explains how changes in the return distribution of a risky asset, which alters Tail Conditional Expectation (TCE), impact the agent’s portfolio selection. We establish sufficient conditions for distribution changes, leading to a TCE reduction, to increase optimal demand for the risky asset. These results imply that risk-averse agents may increase their optimal demand for the risky asset when the downside risk premium increases. Furthermore, evaluating TCE, or downside risk premium, is compatible with second-degree stochastic dominance. This suggests that such an order of downside risk measures can provide additional insight into an agent’s portfolio selection, as identified by the stochastic dominance criteria.

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  • Nakamura, Kazuki, 2023. "How does a change in downside risk affect optimal demand for a risky asset?: Comparative statics on Tail Conditional Expectation," Finance Research Letters, Elsevier, vol. 58(PD).
    • Handle: RePEc:eee:finlet:v:58:y:2023:i:pd:s1544612323010401
    DOI: 10.1016/j.frl.2023.104668
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    More about this item

    Keywords

    Portfolio theory; Tail conditional expectation; Value at risk; Stochastic dominance;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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