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

1. Consider an investment fund with the following annual return rates over 8 years: +6%, -6%, +12%, -12%,
+3%, -3%, +9%, -9% .
What can you say about the annual geometric and arithmetic mean returns of this investment fund?

A) The arithmetic mean return is zero and the geometric mean return is negative
B) The arithmetic mean return is negative and the geometric mean return is zero
C) None of the above
D) The arithmetic mean return is equal to the geometric mean return

2. In a multiple linear regression, the significance of R2 can be tested using which distribution?

A) Student's t distribution
B) Binomial distribution
C) Normal distribution
D) F-distribution

3. The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:

A) Infinity
B) 128
C) 20
D) 12

4. Which of the following can induce a 'multicollinearity' problem in a regression model?

A) A large negative correlation between the dependent variable and one of the explanatory variables
B) The omission of a relevant explanatory variable
C) A high positive correlation between the dependent variable and one of the explanatory variables
D) A high positive correlation between two explanatory variables

5. You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate after-tax profit from the investment, rounded to $10?

A) $7350
B) $7230
C) $7100
D) $9420

Solutions: