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A simple class of square-root interest-rate models 

Author: F. Jamshidian a
Affiliation:   a Sakura Global Capital, London, UK
DOI: 10.1080/13504869500000004
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 2, Issue 1 March 1995 , pages 61 - 72
Formats available: PDF (English)
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Abstract

An analytically tractable class of square-root interest-rate models is introduced. Algebraic expressions are found for the drift and volatility parameters of the short rate in terms of initial yield and volatility curves. Explicit formulae are derived for bond, Arrow-Debreu, and European and American bond options.
Keywords: square-root process; chi-squared distribution; Riccati equation; yield curve; volatility curve; bond option
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