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In this paper we propose a Gaussian quadrature method to study American and exotic option pricing under the jump-diffusion model of Merton (1976). Our numerical experiments show that the Gaussian quadrature method, compared to several existing methods in the literature, including the fast Gauss...
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This paper extends the static hedge portfolio (SHP) approach of Derman, Ergener, and Kani (1995) and Carr, Ellis, and Gupta (1998) to price and/or hedge American knock-out options. We construct a SHP to match the complicated boundary conditions of American barrier options. Detailed analyses of...
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Given that both S&P 500 index and VIX options essentially contain information on the future dynamics of the S&P 500 index, in this study, we set out to empirically investigate the informational roles played by these two option markets with regard to the prediction of returns, volatility and...
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