On variance reduction of mean-CVaR Monte Carlo estimators

نویسنده

  • Václav Kozmík
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

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

Value-at-risk (VaR) and conditional value-at-risk (CVaR) are important risk measures. They are often estimated by using importance sampling (IS) techniques. In this paper, we derive the asymptotic representations for IS estimators of VaR and CVaR. Based on these representations, we are able to prove the consistency and asymptotic normality of the estimators and to provide simple conditions unde...

متن کامل

Computing VaR and CVaR using stochastic approximation and adaptive unconstrained importance sampling

Value-at-Risk (VaR) and Conditional-Value-at-Risk (CVaR) are two risk measures which are widely used in the practice of risk management. This paper deals with the problem of estimating both VaR and CVaR using stochastic approximation (with decreasing steps): we propose a first Robbins-Monro (RM) procedure based on Rockafellar-Uryasev’s identity for the CVaR. Convergence rate of this algorithm t...

متن کامل

Policy Gradients for CVaR-Constrained MDPs

We study a risk-constrained version of the stochastic shortest path (SSP) problem, where the risk measure considered is Conditional Value-at-Risk (CVaR). We propose two algorithms that obtain a locally risk-optimal policy by employing four tools: stochastic approximation, mini batches, policy gradients and importance sampling. Both the algorithms incorporate a CVaR estimation procedure, along t...

متن کامل

Portfolio Optimization with Multivariate Copula: a Monte Carlo Study

According to Markowitz (1952) portfolio theory assumed that the investor has a concave utility function that expresses an attitude of risk aversion and managed to put portfolio selection based on two criteria, mean and variance. Other studies have improved this approach and following Basel II recommendations by using Value-at-Risk (VaR) as a standard risk measure in finance, Alexander & Baptist...

متن کامل

A Comparison of Monte Carlo , Lattice Rulesand Other Low - Discrepancy Point

We explore how lattice rules can reduce the variance of the estimators for simulation problems, in comparison with the Monte Carlo method. To do this, we compare these two methods on option valuation problems in nance, along with two types of (t; s)-sequences. We also look at the eeect of combining variance reduction techniques with the preceding approaches. Our numerical results seem to indica...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Comput. Manag. Science

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2015