Mathematical 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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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number
5638.
Length: Date of creation: Jun 1996 Date of revision: Handle: RePEc:nbr:nberwo:5638
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Find related papers by JEL classification: E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
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