We consider a defaultable asset whose risk-neutral pricing dynamics are described by an exponential Lévy-type martingale. This class of models allows for a local volatility, local default intensity and a locally dependent Lévy measure. We present a pricing method for Bermudan options based on an analytical approximation of the characteristic function combined with the COS method. Due to a special form of the obtained characteristic function the price can be computed using a fast Fourier transform-based algorithm resulting in a fast and accurate calculation.
Bermudan option valuation under state-dependent models / Borovykh, Anastasia; Pascucci, Andrea; Oosterlee, Cornelis W.. - STAMPA. - 214:(2017), pp. 127-138. (Intervento presentato al convegno 2nd International Congress on Actuarial Science and Quantitative Finance, ICASQF 2016 tenutosi a Colombie nel 2016) [10.1007/978-3-319-66536-8_6].
Bermudan option valuation under state-dependent models
Borovykh, Anastasia
Membro del Collaboration Group
;Pascucci, Andrea
Membro del Collaboration Group
;
2017
Abstract
We consider a defaultable asset whose risk-neutral pricing dynamics are described by an exponential Lévy-type martingale. This class of models allows for a local volatility, local default intensity and a locally dependent Lévy measure. We present a pricing method for Bermudan options based on an analytical approximation of the characteristic function combined with the COS method. Due to a special form of the obtained characteristic function the price can be computed using a fast Fourier transform-based algorithm resulting in a fast and accurate calculation.File | Dimensione | Formato | |
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