Inui, Koji; Kijima, Masaaki; Kitano, Atsushi - In: Statistics & Probability Letters 72 (2005) 4, pp. 299-311
This article shows that value-at-risk (VaR), the most popular risk measure in financial practice, has a considerable positive bias when used for a portfolio with fat-tail distribution. The bias increases with higher confidence level, heavier tails, and smaller sample size. Also, the...