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A new method to retrieve the risk-neutral probability measure from observed option prices is developed and a closed form pricing formula for European options is obtained by employing a modified Gram-Charlier series expansion, known as the Gauss-Hermite expansion. This expansion converges for...
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comparison is the choice of the fastest method for the calibration of stochastic volatility models, e.g. Heston, Bates, Barndorff …-Nielsen-Shephard models or Levy models with stochastic time. We show that using additional cache technique makes the calibration with the … direct integration method at least seven times faster than the calibration with the fractional FFT method. …
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