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

1. Over four consecutive years fund X returns 1%, 5%, -3%, 8%. What is the average growth rate of fund X over this period?

A) 2.67%
B) 2.75%
C) None of the above
D) 2.49%

2. Which of the following statements about variance and standard deviation are correct?
1. When calculated based on a sample of the population data, one has to correct for any bias in the result by using the number of degrees of freedom in the calculation
2. Variance is in square root units of the underlying data, whereas standard deviation is in units of the underlying data
3. When considering independent variables, variance is additive, while standard deviation is not

A) All three statements are correct
B) Statements 2 and 3 are correct
C) Statements 1 and 3 are correct
D) Statements 1 and 2 are correct

3. You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. On the basis of these data, the derivative f'(0) is ...

A) in the interval ]-,-2.5]
B) equal to -2
C) in the interval ]-2.5,-2[
D) in the interval ]-2,+[

4. There are two portfolios with no overlapping of stocks or bonds. Portfolio 1 has 6 stocks and 6 bonds.
Portfolio 2 has 4 stocks and 8 bonds. If we randomly select one stock, what is the probability that it came from Portfolio1?

A) 0.5
B) None of these
C) 0.6
D) 0.3

5. Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is

A) mean is 0, variance is 1/2
B) mean is 1/3, variance is 1/3
C) mean is 0, variance is 2/3
D) mean is 0, variance is 1/3

Solutions: