Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing
AbstractMathematical models of bond pricing are used by both academics and Wall Street practitioners, with practitioners introducing time-dependent parameters to fit arbitrage-free models to selected asset prices. We show, in a simple one-factor setting, that the ability of such models to reproduce a subset of security prices need not extend to state-contingent claims more generally. The popular Black-Derman-Toy model, for example, overprices call options on long bonds relative to those on short bonds when interest rates exhibit mean reversion. We argue, more generally, that the additional parameters of arbitrage-free models should be complemented by close attention to fundamentals, which might include mean reversion, multiple factors, stochastic volatility, and/or non-normal interest rate distributions.
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Bibliographic InfoPaper provided by New York University, Leonard N. Stern School of Business- in its series New York University, Leonard N. Stern School Finance Department Working Paper Seires with number 96-8.
Date of creation: Apr 1996
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Postal: U.S.A.; New York University, Leonard N. Stern School of Business, Department of Economics . 44 West 4th Street. New York, New York 10012-1126
Phone: (212) 998-0100
Web page: http://w4.stern.nyu.edu/finance/
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Other versions of this item:
- Backus, David & Foresi, Silverio & Zin, Stanley, 1998. "Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 13-26, January.
- David Backus & Silverio Foresi & Stanley Zin, 1996. "Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing," NBER Working Papers 5638, National Bureau of Economic Research, Inc.
- David K. Backus & Silverio Foresi & Stanley E. Zin, 1994. "Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing," Working Papers 94-28, New York University, Leonard N. Stern School of Business, Department of Economics.
- Backus, D.K. & Foresi, S. & Zin, S.E., 1994. "Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing," Papers 95-02, Columbia - Graduate School of Business.
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
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