Monte Carlo methods in Financial Engineering

Kernel estimation of the Greeks of financial options

Monte Carlo estimation of value-at-risk, conditional value-at-risk and their sensitivities

Asymptotic representations for importance-sampling estimators of value-at-risk and conditional value-at-risk

Pathwise estimation of probability sensitivities through terminating and steady-state simulations

Conditional Monte Carlo estimation of quantile sensitivities

Estimating expectations of nonlinear functions

Estimating quantile sensitivities

Kernel estimation of quantile sensitivities

Revisit of stochastic mesh method for pricing American options

Simulating sensitivities of conditional value-at-risk