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Equity swaps in a LIBOR market model

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  • Ting‐Pin Wu
  • Son Nan Chen

Abstract

This study extends the BGM (A. Brace, D. Gatarek, & M. Musiela, 1997) interest rate model (the London Interbank Offered Rate [LIBOR] market model) by incorporating the stock price dynamics under the martingale measure. As compared with traditional interest rate models, the extended BGM model is both appropriate for pricing equity swaps and easy to calibrate. The general framework for pricing equity swaps is proposed and applied to the pricing of floating‐for‐equity swaps with either constant or variable notional principals. The calibration procedure and the practical implementation are also discussed. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:893–920, 2007

Suggested Citation

  • Ting‐Pin Wu & Son Nan Chen, 2007. "Equity swaps in a LIBOR market model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(9), pages 893-920, September.
    • Handle: RePEc:wly:jfutmk:v:27:y:2007:i:9:p:893-920
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    1. Erik Schlögl, 2002. "A multicurrency extension of the lognormal interest rate Market Models," Finance and Stochastics, Springer, vol. 6(2), pages 173-196.
    2. Ming‐Chieh Wang & Szu‐Lang Liao, 2003. "Pricing models of equity swaps," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(8), pages 751-772, August.
    3. 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..
    4. Kaushik I. Amin & Robert A. Jarrow, 2008. "Pricing foreign currency options under stochastic interest rates," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 14, pages 307-326, World Scientific Publishing Co. Pte. Ltd..
    5. Alan Brace & Dariusz G¸atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155, April.
    6. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
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    Cited by:

    1. Ravi Kashyap, 2019. "Concepts, Components and Collections of Trading Strategies and Market Color," Papers 1910.02144, arXiv.org, revised Jan 2020.
    2. Jui‐Jane Chang & Son‐Nan Chen & Ting‐Pin Wu, 2013. "Currency‐Protected Swaps and Swaptions with Nonzero Spreads in a Multicurrency LMM," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(9), pages 827-867, September.

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