Control variates for quantile estimation
Management Science
Estimating security price derivatives using simulation
Management Science
Control Variates for Probability and Quantile Estimation
Management Science
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Variance Reduction Techniques for Estimating Value-at-Risk
Management Science
Simulating Sensitivities of Conditional Value at Risk
Management Science
Estimating Quantile Sensitivities
Operations Research
Conditional Monte Carlo Estimation of Quantile Sensitivities
Management Science
Operations Research Letters
Iimportance sampling for risk contributions of credit portfolios
Proceedings of the Winter Simulation Conference
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Value-at-risk and conditional value at risk are two widely used risk measures, employed in the financial industry for risk management purposes. This tutorial discusses Monte Carlo methods for estimating value-at-risk, conditional value-at-risk and their sensitivities. By relating the mathematical representation of value-at-risk to that of conditional value-at-risk, it provides a unified view of simulation methodologies for both risk measures and their sensitivities.