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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?

A) -1.25
B) 2.5
C) -2.5
D) 0.125

2. You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.

A) an annually compounded rate of 4.15%
B) a quarterly-compounded rate of 4.1%
C) a continuously-compounded rate of 4%
D) a lump-sum payment of $22 500 on maturity (in five years)

3. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) None of them
B) $2,210,342
C) $2.205,000
D) $2,208,972

4. What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65,...?

A) 2 097 172
B) 2 097 170
C) 1 048 574
D) 1 048 595

5. An operational risk analyst models the occurrence of computer failures as a Poisson process with an arrival rate of 2 events per year. According to this model, what is the probability of zero failures in one year?

A) 0.02
B) 0.14
C) 0.25
D) 0.50

Solutions: