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

1. For a quadratic equation, which of the following is FALSE?

A) If the discriminant is negative, there are no real solutions
B) If the discriminant is positive there are two different real solutions
C) If the discriminant is zero, there is only one solution
D) If the discriminant is negative there are two different real solutions

2. I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 50%. The volatility of my portfolio is

A) 20%
B) 16%
C) 24.4%
D) 17.4%

3. Let N(.) denote the cumulative distribution function and suppose that X and Y are standard normally distributed and uncorrelated. Using the fact that N(1.96)=0.975, the probability that X 0 and Y 1.96 is approximately

A) 0.488%
B) 0.25%
C) 0.495%
D) 0.49%

4. You are to perform a simple linear regression using the dependent variable Y and the independent variable X (Y = a + bX). Suppose that cov(X,Y)=10, var(X)= 5, and that the mean of X is 1 and the mean of Y is 2. What are the values for the regression parameters a and b?

A) b=2, a=0
B) b=0.5, a=2.5
C) b=2, a=4
D) b=0.5, a=1.5

5. Which of the following is not a sequence?

A) , , , , , , ...
B) 30
C) , , , , ...
D) , , , ... , , ...

Solutions: