Abstract
We propose efficient algorithms for pricing discretely monitored arithmetic Asian options and variance derivatives, which utilize the recursion of characteristic functions, quadrature over the variance/activity rate dimension, and frame projection method of approximating the density function of the log-asset price. The classes of dynamic asset price models include the stochastic volatility models with Lévy jumps and time-changed Lévy models. Numerical tests reveal that our proposed recursion-quadrature algorithms compete favorably well in terms of efficiency, accuracy, and reliability.
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