In this paper, we analyze the portfolio selection implications arising from imposing a value-at-risk (VaR) constraint on the mean-variance model, and compare them with those arising from the imposition of a conditional value-at-risk (CVaR) constraint. We show that for a given confidence level, a...

This paper is on decision theoretical foundations for various types of VaR models, including VaR and conditional-VaR, as objective measures of downside risk for financial prospects. We establish the connections of the VaRs with the first- and the second-order stochastic dominance investment...

1 Introduction -- 2 Motivation -- Part I MEASURES -- 3 Basic Terms and Notation -- 4 Historical Value-at-Risk -- 5 Sensitivities -- 6 Stress Tests -- 7 Analytical Value-at-Risk -- 8 Expected Shortfall -- 9 Model Choices -- 10 A Monte Carlo Modi cation -- 11 Support Measures -- Part II OPERATIONS...

The impact of allowing banks to calculate their capital requirement based on their internal VaR models, and the impact of regulation changes on banks in transitional countries has not been well studied. This paper examines whether VaR models that are created and suited for developed markets...

Value-at-risk (VaR) is an important risk measure now widely used by financial institutions and regulators to quantify market risk and compute regulatory capital charge. The performance of VaR model can be examined by back-testing. Based on back-testing information, this paper develops a Machine...