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monte carlo simulation for swaption prices
If I want to get a Monte Carlo price for a swaption in an LMM model, do I evolve the fixing LIBORs until the option expiry and calculate the swap rate based on the fixing LIBORs at option expiry, or do I evolve each fixing LIBOR until the swaplet date? I've tried looking through books and articles online but there seems to be no discussion about this.