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Volatility Indexes and Contracts for Eurodollar and Related Deposits

Author

Listed:
  • Antonio Mele

    (USI Università della Svizzera italiana; Swiss Finance Institute; Centre for Economic Policy Research (CEPR))

  • Yoshiki Obayashi

    (Applied Academics LLC)

Abstract

Eurodollar deposit volatility comoves with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of time deposit volatility? How can we express this price in a model-free format? Despite the success of the CBOE equity VIX, no counterparts exist for time deposits such as the Eurodollar. Pricing time deposit volatility in a model-free manner is a delicate issue because the contexts we are interested in are obviously those where interest rates are random, requiring tilting the basis assets we wish to price the volatility of. We develop contract designs for variance swaps applying to time deposits, and derive model-free indexes of time deposit expected volatility, based on the fair value of the contracts expressed in terms of option prices. We follow market practice and consider both percentage and basis point expected volatility. Basis point volatility can be priced in a model-free format even in the presence of jumps. We provide two algorithms to calculate the indexes through the use of American future options.

Suggested Citation

  • Antonio Mele & Yoshiki Obayashi, 2013. "Volatility Indexes and Contracts for Eurodollar and Related Deposits," Swiss Finance Institute Research Paper Series 13-25, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp1325
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    Citations

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    Cited by:

    1. Mele, Antonio & Obayashi, Yoshiki & Shalen, Catherine, 2015. "Rate fears gauges and the dynamics of fixed income and equity volatilities," Journal of Banking & Finance, Elsevier, vol. 52(C), pages 256-265.
    2. Li, Shaoyu & Zhang, Yuanyuan & Zhu, Chunhui, 2021. "A closed-form exact solution for pricing fixed-income variance swaps with affine-jump model," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).

    More about this item

    Keywords

    Interest Rate Volatility; Interest Rate Variance Swaps; Model-Free Pricing; VIX Index; Basis Point Variance; Basis Point Yield Volatility; Quadratic Contracts;
    All these keywords.

    JEL classification:

    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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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