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On RVaR-based optimal partial hedging

Published online by Cambridge University Press:  25 January 2022

Alexander Melnikov  and
Hongxi Wan Open the ORCID record for Hongxi Wan [Opens in a new window]
Alexander Melnikov
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
Hongxi Wan*
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
*
*Corresponding author. E-mail: hongxi@ualberta.ca
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Abstract

The main aim of this paper is to develop an optimal partial hedging strategy that minimises an investor’s shortfall subject to an initial wealth constraint. The risk criterion we employ is a robust tail risk measure called Range Value-at-Risk (RVaR) which belongs to a wider class of distortion risk measures and contains the well-known measures VaR and CVaR as important limiting cases. Explicit forms of such RVaR-based optimal hedging strategies are derived. In addition, we provide a numerical example to demonstrate how to apply this more comprehensive methodology of partial hedging in the area of mixed finance/insurance contracts in the market with long-range dependence.

Keywords

Partial hedgingRange Value-at-RiskMixed Fractional Brownian motionEquity-linked life insurance contracts
Type
Original Research Paper
Information
Annals of Actuarial Science , Volume 16 , Issue 2 , July 2022 , pp. 349 - 366
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Institute and Faculty of Actuaries

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