Numerical Solution of Stochastic Differential Equations with Jumps in Finance
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- 2010, 1st
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This research monograph concerns the design and analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by ·Wiener processes and Poisson processes or Poisson jump measures, In financial and actuarial modeling and other areas of application I such jump difrusions are often used to dScribe the dynamics of ',.-arious state variables. In finance these may represent, for instance, asset prices, credit ratings, stock indices, luterest rates, exchange rates or commodity prices. The jump component can capture event-driven unC<'xtainties, such as corporato defaults, operational failures or insured events.
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