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Volatility risk premium in the interest rate market: Evidence from delta-hedged gains on USD interest rate swaps

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  • Byun, Suk Joon
  • Chang, Ki Cheon

Abstract

This study examines whether the interest rate market compensates for volatility risk. It demonstrates that the delta-hedged gain (DHG) method introduced by Bakshi and Kapadia (2003) shows the existence and sign of DHG in the interest rate swap markets where they use measures different from what Bakshi and Kapadia assumed. This finding is applied to the USD interest rate swap and swaption market. The result shows that, over the short term, there is negative compensation for volatility risk premiums, akin to the equity or currency markets. Over the long term, the signs of compensation change and regression tests show the possibility that the volatility risk premium in the interest rate market can be different from those in other asset markets. However, this interpretation entails an overlapping data problem that is not easy to overcome especially for the long term DHG data. The difference in interest rate market may be due to the fact that the interest rate swap market is different from the equity or currency markets in that it is more driven by financial institutions and option traders than by individuals or directional traders.

Suggested Citation

  • Byun, Suk Joon & Chang, Ki Cheon, 2015. "Volatility risk premium in the interest rate market: Evidence from delta-hedged gains on USD interest rate swaps," International Review of Financial Analysis, Elsevier, vol. 40(C), pages 88-102.
    • Handle: RePEc:eee:finana:v:40:y:2015:i:c:p:88-102
    DOI: 10.1016/j.irfa.2015.03.018
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    References listed on IDEAS

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    1. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330.
    2. Tim Bollerslev & George Tauchen & Hao Zhou, 2009. "Expected Stock Returns and Variance Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4463-4492, November.
    3. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    4. Gurdip Bakshi & Nikunj Kapadia, 2003. "Delta-Hedged Gains and the Negative Market Volatility Risk Premium," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 527-566.
    5. Anders B. Trolle & Eduardo S. Schwartz, 2009. "A General Stochastic Volatility Model for the Pricing of Interest Rate Derivatives," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 2007-2057, May.
    6. Fornari, Fabio, 2010. "Assessing the compensation for volatility risk implicit in interest rate derivatives," Journal of Empirical Finance, Elsevier, vol. 17(4), pages 722-743, September.
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    More about this item

    Keywords

    Volatility risk premium; Interest rate swap; Delta-hedged gain;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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