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A new well-posed algorithm to recover implied local volatility

Lishang Jiang, Qihong Chen, Lijun Wang and Jin Zhang

Quantitative Finance, 2003, vol. 3, issue 6, 451-457

Abstract: This paper presents a new algorithm to calibrate the option pricing model, i.e. the algorithm that recovers the implied local volatility function from market option prices in the optimal control framework. A unique optimal control is shown to exist. Our algorithm is well-posed. Our numerical experiments show that, with the help of the techniques developed in the field of optimal control, the local volatility function is recovered very well.

Date: 2003
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DOI: 10.1088/1469-7688/3/6/304

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