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Modeling of certain problems in financial mathematics: Spread option pricing
Authors:K P Khorev
Institution:(1) Faculty of Mechanics and Mathematics, Moscow State University, Vorob’evy gory, Moscow, 119992, Russia
Abstract:The problem of valuating exotic options, namely, the option on the spread between two forward interest rates is considered. The price of the option is derived under the assumption that the dynamics of debt instruments and the interest rates are described by the Heath-Jarrow-Morton model. The parameters of the model are estimated, and the price of the option is numerically computed based on Russian bond market data.
Keywords:spread option  forward interest rate  Health-Jarrow-Morton model  probabilistic methods
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