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Pricing Claims Under GARCH-Level Dependent Interest Rate Processes

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Listed:
  • V. Cvsa

    (Weatherhood School of Management, Case Western Reserve University, Cleveland, Ohio)

  • P. Ritchken

    (Weatherhood School of Management, Case Western Reserve University, Cleveland, Ohio)

Abstract

This article considers the pricing of interest-rate-sensitive claims when the underlying interest rate is driven by a two-state-variable GARCH process. Analytical solutions are established for the case when the innovations in the short rate are normal and/or chi-squared random variables and the volatility of rates take on a special GARCH form. GARCH models that nest level-dependent interest rate models, including the Cox, Ingersoll, and Ross model, are also considered. Algorithms are provided that permit the efficient pricing of American-style interest rate claims under a rather broad array of GARCH-Level dependent processes.

Suggested Citation

  • V. Cvsa & P. Ritchken, 2001. "Pricing Claims Under GARCH-Level Dependent Interest Rate Processes," Management Science, INFORMS, vol. 47(12), pages 1693-1711, December.
    • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:12:p:1693-1711
    DOI: 10.1287/mnsc.47.12.1693.10238
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    Cited by:

    1. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
    2. Deuskar, Prachi & Gupta, Anurag & Subrahmanyam, Marti G., 2011. "Liquidity effect in OTC options markets: Premium or discount?," Journal of Financial Markets, Elsevier, vol. 14(1), pages 127-160, February.
    3. Joseph G. Haubrich & George Pennacchi & Peter H. Ritchken, 2008. "Estimating real and nominal term structures using Treasury yields, inflation, inflation forecasts, and inflation swap rates," Working Papers (Old Series) 0810, Federal Reserve Bank of Cleveland.
    4. Robert Elliott & Rogemar Mamon, 2002. "An interest rate model with a Markovian mean reverting level," Quantitative Finance, Taylor & Francis Journals, vol. 2(6), pages 454-458.

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