Almost Perfect Shadow Prices

Eberhard Mayerhofer ()
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Eberhard Mayerhofer: Department of Mathematics & Statistics, University of Limerick, V94 T9PX Limerick, Ireland

JRFM, 2024, vol. 17, issue 2, 1-18

Abstract: Shadow prices simplify the derivation of optimal trading strategies in markets with transaction costs by transferring optimization into a more tractable, frictionless market. This paper establishes that a naïve shadow price ansatz for maximizing long-term returns, given average volatility yields a strategy that is, for small bid–ask spreads, asymptotically optimal at the third order. Considering the second-order impact of transaction costs, such a strategy is essentially optimal. However, for risk aversion different from one, we devise alternative strategies that outperform the shadow market at the fourth order. Finally, it is shown that the risk-neutral objective rules out the existence of shadow prices.

Keywords: transaction costs; portfolio choice; shadow prices; reflected diffusions (search for similar items in EconPapers)
JEL-codes: C E F2 F3 G (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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