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Pricing Quanto Equity Swaps in a Stochastic Interest Rate Economy

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  • San-Lin Chung
  • Hsiao-Fen Yang

Abstract

This paper derives a pricing model for a quanto foreign equity/domestic floating rate swap in which one party pays domestic floating interest rates and receives foreign stock returns determined in the foreign currency, but is paid in the domestic currency. We use the risk-neutral valuation technique developed by Amin and Bodurtha to generate an arbitrage-free pricing model. A closed-form solution is obtained under further restrictions on the drift rates of the asset price processes. Pricing formulae show that the value of a quanto equity swap at the start date does not depend on the foreign stock price level, but rather on the term structures of both countries and other parameters. However, the foreign stock price levels do affect the swap value times between two payment dates. The numerical implementations indicate that the domestic and foreign term structures, the correlation between the foreign interest rate and the exchange rate, and the correlation between the exchange rate and the foreign stock are more important factors in pricing a quanto equity swap than other correlations.

Suggested Citation

  • San-Lin Chung & Hsiao-Fen Yang, 2005. "Pricing Quanto Equity Swaps in a Stochastic Interest Rate Economy," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(2), pages 121-146.
    • Handle: RePEc:taf:apmtfi:v:12:y:2005:i:2:p:121-146
    DOI: 10.1080/1350486042000297261
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    References listed on IDEAS

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    1. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 419-440, December.
    2. Litzenberger, Robert H, 1992. "Swaps: Plain and Fanciful," Journal of Finance, American Finance Association, vol. 47(3), pages 831-850, July.
    3. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    4. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

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