EXACT PRICING WITH STOCHASTIC VOLATILITY AND JUMPS

Fernanda D'Ippoliti (), Enrico Moretto, Sara Pasquali () and Barbara Trivellato ()
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Fernanda D'Ippoliti: Università "G. D'Annunzio" di Chieti-Pescara, Viale Pindaro 87, Pescara, 65127, Italy
Sara Pasquali: CNR-IMATI, Via Bassini 15, Milano, 20133, Italy
Barbara Trivellato: Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy

International Journal of Theoretical and Applied Finance (IJTAF), 2010, vol. 13, issue 06, 901-929

Abstract: A stochastic volatility jump-diffusion model for pricing derivatives with jumps in both spot return and volatility underlying dynamics is presented. This model admits, in the spirit of Heston, a closed-form solution for European-style options. The structure of the model is also suitable to explicitly obtain the fair delivery price for variance swaps. To evaluate derivatives whose value does not admit a closed-form expression, a methodology based on an "exact algorithm", in the sense that no discretization of equations is required, is developed and applied to barrier options. Goodness of pricing algorithm is tested using DJ Euro Stoxx 50 market data for European options. Finally, the algorithm is applied to compute prices and Greeks for barrier options and to determine the fair delivery prices for variance swaps.

Keywords: Monte Carlo simulation; derivative valuation; stochastic volatility jump-diffusion model (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219024910006042

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