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Robust Hedging Valuation Adjustment under Liquidity--Demand Stress

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  • Takayuki Sakuma

Abstract

This paper develops a robust hedging valuation adjustment (HVA) measure for dynamic hedging. Simulated rebalancing and maturity-unwind trades generate a loss distribution for each no-trade-band rule, and we define robust HVA as the worst-case expected loss over a relative-entropy neighborhood of that distribution. Because band width affects turnover, the same relative-entropy radius applied to different bands can imply different levels of demand-liquidity stress. We distinguish a fixed-radius convention from a fixed benchmark-stress convention and show that wider no-trade bands lower rebalancing costs but raise hedge-error risk.

Suggested Citation

  • Takayuki Sakuma, 2026. "Robust Hedging Valuation Adjustment under Liquidity--Demand Stress," Papers 2606.26731, arXiv.org, revised Jun 2026.
    • Handle: RePEc:arx:papers:2606.26731
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    References listed on IDEAS

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    1. Cyril Bénézet & Stéphane Crépey & Dounia Essaket, 2026. "The Recalibration Conundrum: Hedging Valuation Adjustment for Callable Claims," Post-Print hal-04057045, HAL.
    2. Cyril B'en'ezet & St'ephane Cr'epey & Dounia Essaket, 2023. "The Recalibration Conundrum: Hedging Valuation Adjustment for Callable Claims," Papers 2304.02479, arXiv.org, revised Jan 2026.
    3. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    4. Leland, Hayne E, 1985. "Option Pricing and Replication with Transactions Costs," Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December.
    5. J. S. Kennedy & P. A. Forsyth & K. R. Vetzal, 2009. "Dynamic Hedging Under Jump Diffusion with Transaction Costs," Operations Research, INFORMS, vol. 57(3), pages 541-559, June.
    6. Cyril B'en'ezet & St'ephane Cr'epey, 2022. "Handling model risk with XVAs," Papers 2205.11834, arXiv.org, revised Aug 2024.
    7. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    8. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    10. repec:hal:wpaper:hal-03675291 is not listed on IDEAS
    11. A. E. Whalley & P. Wilmott, 1997. "An Asymptotic Analysis of an Optimal Hedging Model for Option Pricing with Transaction Costs," Mathematical Finance, Wiley Blackwell, vol. 7(3), pages 307-324, July.
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