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Fundamental Properties of Bond Prices in Models of the Short-Term Rate

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  • Antonio Mele

Abstract

This article develops restrictions that arbitrage-constrained bond prices impose on the short-term rate process in order to be consistent with given dynamic properties of the term structure of interest rates. The central focus is the relationship between bond prices and the short-term rate volatility. In both scalar and multidimensional diffusion settings, typical relationships between bond prices and volatility are generated by joint restrictions on the risk-neutralized drift functions of the state variables and convexity of bond prices with respect to the short-term rate. The theory is illustrated by several examples and is partially extended to accommodate the occurrence of jumps and default. Copyright 2003, Oxford University Press.

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Bibliographic Info

Article provided by Society for Financial Studies in its journal The Review of Financial Studies.

Volume (Year): 16 (2003)
Issue (Month): 3 (July)
Pages: 679-716

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Handle: RePEc:oup:rfinst:v:16:y:2003:i:3:p:679-716

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Cited by:
  1. Antonio Mele, 2004. "General Properties of Rational Stock-Market Fluctuations," Econometric Society 2004 North American Summer Meetings 223, Econometric Society.
  2. Xavier Gabaix, 2007. "Linearity-Generating Processes: A Modelling Tool Yielding Closed Forms for Asset Prices," NBER Working Papers 13430, National Bureau of Economic Research, Inc.

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