Value-at-risk and ruin probability
Jiandong Ren
Abstract
Jiandong Ren
Abstract
ABSTRACT Value-at-risk (VaR) is a widely used risk measure. Despite its popularity, it has been criticized by risk managers and academics for ignoring the tail, which is the most detrimental part of the risk. In this paper we show that ultimate ruin probability, which has a long history but is unpopular in real-world applications, may actually provide useful information about financial or actuarial risks. It can also address some of the criticisms of the more popular risk measure VaR.
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ABSTRACT Value-at-risk (VaR) is a widely used risk measure. Despite its popularity, it has been criticized by risk managers and academics for ignoring the tail, which is the most detrimental part of the risk. In this paper we show that ultimate ruin probability, which has a long history but is unpopular in real-world applications, may actually provide useful information about financial or actuarial risks. It can also address some of the criticisms of the more popular risk measure VaR.
Key concepts: Actuarial science, Value at risk, Popularity, Value (mathematics), Measure (data warehouse), Risk measure, Ruin theory, Coherent risk measure