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A performance evaluation of portfolio insurance under the Black and Scholes framework: An application of the economic index of riskiness

Richard Lu, Tzyy-Leng Horng, Min-Sun Horng and Amy Z.-H. Wang

The Quarterly Review of Economics and Finance, 2023, vol. 89, issue C, 269-276

Abstract: The investment performance of an option-based portfolio insurance strategy is compared with a buy-and-hold strategy under the Black and Scholes framework. Under this setup, we can derive the return distributions for the portfolio insurance and buy-and-hold strategies. According to the economic performance measure, which generalizes the Sharpe measure, the portfolio insurance with no transaction costs almost outperforms buy-and-hold in all scenarios studied. Further, if the percent of principal protected is chosen optimally, the portfolio insurance is better than buy-and-hold. Although the portfolio insurance loses some ground for short investment horizons with transaction costs, the portfolio insurance performs relatively well for long investment horizons.

Keywords: Portfolio insurance; Economic Index of riskiness; Aumann-serrano index; Economic performance measure (search for similar items in EconPapers)
JEL-codes: G11 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:quaeco:v:89:y:2023:i:c:p:269-276

DOI: 10.1016/j.qref.2023.04.003

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