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An efficient conditioning technique, the so-called Brownian Bridge simulation, has previously been applied to eliminate pricing bias that arises in applications of the standard discrete-time Monte Carlo method to evaluate options written on the continuous-time extrema of an underlying asset. It...
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In Monte Carlo simulation, Latin hypercube sampling (LHS) [McKay et al. (1979)] is a well-known variance reduction … technique for vectors of independent random variables. The method presented here, Latin hypercube sampling with dependence (LHSD …
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We provide a detailed importance sampling analysis for variance reduction in stochastic volatility models. The optimal …
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programming languages (Python, Matlab and R), are: Latin Hypercube, Stratified Sampling, Antithetic Variables, Importance Sampling …
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Most of the existing pricing models of variance derivative products assume continuous sampling of the realized variance … processes, though actual contractual specifications compute the realized variance based on sampling at discrete times. We … formulas of the discretely sampled generalized variance swaps under vanishing sampling interval to the analytic pricing …
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