Properties of Risk Measures
Free SOA Exam FAM (Fundamentals of Actuarial Mathematics) lesson in Severity, Frequency, and Aggregate Models. 13 min read, ~1,975 words.
Coherent = 4 properties: translation invariance, positive homogeneity, subadditivity, monotonicity. VaR fails subadditivity: not coherent. It still satisfies the other three properties. TVaR satisfies all four: coherent. Subadditivity:, so diversification can never increase total risk or capital. VaR is subadditive for jointly normal (elliptical) distributions. Both VaR and TVaR are...
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What this lesson covers
- Content
- Example 1
- Example 2
- Example 3
- Common Mistakes
- Check Your Understanding
- Exam Shortcuts
Learning objectives
- 2n
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