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Abstract In this paper, we apply importance sampling to Heston's stochastic volatility model and Bates's stochastic … volatility model with jumps. We propose an effective numerical scheme that dramatically improves the speed of importance sampling … combining it with importance sampling leads to a significant variance reduction for the Greeks. All results are illustrated …
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We introduce a neural network approach for assessing the risk of a portfolio of assets and liabilities over a given time period. This requires a conditional valuation of the portfolio given the state of the world at a later time, a problem that is particularly challenging if the portfolio...
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