SOA FAMFundamentals of Actuarial Mathematics

Associateship (ASA)

3.5 hours (1.75h per half if split)·34 multiple-choice (17 + 17)·≈350 study hours

Score 0/0 · 11 MC

FAM · Q1
Multiple choice
FAM-S: Severity, frequency & aggregate models
Aggregate claims $S$ are compound Poisson with $\lambda=3$ . Severity has mean 2,000 and second moment 6,000,000. Calculate the standard deviation of $S$ .
FAM · Q2
Multiple choice
FAM-S: Severity, frequency & aggregate models
Losses follow a Pareto distribution with $\alpha=3$ and $\theta=2{,}000$ . Calculate $E[X\wedge 1{,}000]$ .