An Implementation of Bouchouev's Method for a Short Time Calibration of Option Pricing Models
Carl Chiarella,
Mark Craddock and
Nadima El-Hassan ()
Computational Economics, 2003, vol. 22, issue 2, 113-138
Abstract:
We analyse the Bouchouev integral equation for the deterministic volatility function in the Black–Scholes option pricing model. We areable to reduce Bouchouev's original triple integral equation to a single integral equation and describe its numerical solution. Moreover we show empirically that the most complex term in the equation may often be safely ignored for the purposes of numerical calculations. We present a selection of numerical examples indicating the range of time values for which we would expect the equation to be valid. Copyright Kluwer Academic Publishers 2003
Keywords: inverse problems; calibration; integral equations; fundamental solutions of PDE (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:kap:compec:v:22:y:2003:i:2:p:113-138
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DOI: 10.1023/A:1026177612385
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