Recovering a Piecewise Constant Volatility from Perpetual Put Option Prices

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Recovering a Piecewise Constant Volatility from Perpetual Put Option Prices

In this paper we present a method to recover a time-homogeneous piecewise constant volatility from a finite set of perpetual put option prices. The whole calculation process of the volatility is decomposed into easy computations in many fixed disjoint intervals. In each interval, the volatility is obtained by solving a system of nonlinear equations.

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ژورنال

عنوان ژورنال: Journal of Applied Probability

سال: 2010

ISSN: 0021-9002,1475-6072

DOI: 10.1239/jap/1285335403