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BOUNDED STRATEGIES FOR MAXIMIZING THE SHARPE RATIO

Jiang Ye (), Yiwei Wang and Muhammad Wajid Raza ()
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Jiang Ye: Department of Finance, School of Economics and Management, Southeast University, Nanjing 210096, P. R. China
Yiwei Wang: Department of Finance, School of Economics and Management, Southeast University, Nanjing 210096, P. R. China
Muhammad Wajid Raza: Department of Management Sciences, Shaheed Benazir Bhutto University, Sheringal 18050, Pakistan

International Journal of Theoretical and Applied Finance (IJTAF), 2023, vol. 26, issue 01, 1-15

Abstract: Bernard et al. [(2019) Optimal strategies under omega ratio, European Journal of Operational Research 275 (2), 755–767] use convex ordering arguments to determine the bounded payoff for maximizing the omega ratio. However, it appears difficult to apply such reasoning to estimate the bounded payoff for maximizing the Sharpe ratio. As a proposed solution, this paper uses a Lagrange multiplier method to derive the bounded payoff for maximizing the Sharpe ratio. In contrast to the optimal strategy in Bernard & Vanduffel [(2014) Mean–variance optimal portfolios in the presence of a benchmark with applications to fraud detection, European Journal of Operational Research 234 (2), 469–480], the optimal strategy in this paper is bounded from below. It can protect investors from substantial losses when they invest in payoffs with a maximized Sharpe ratio.

Keywords: Sharpe ratio; Lagrange multiplier method; Black–Scholes market (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0219024923500024

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