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(1997) and Schoenmakers, Coffey (1999). Special attention is payed to log-normal approximations and their simulation by … using direct simulation methods for log-normal random fields. In contrast to the conventional numerical solution of SDE … path-wise comparison of the approximations and give applications to the valuation of the swaption and the trigger swap. …
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We follow Mercurio's extension of the LIBOR market model with stochastic Basis spreads and model the joint evolution of forward rates belonging to the discount curve and corresponding spreads with FRA rates. We consider Heston stochastic-volatility dynamics and show how to calculate the swaption...
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