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

1. Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

A) negative
B) positive
C) not defined
D) zero

2. Consider two securities X and Y with the following 5 annual returns:
X: +10%, +3%, -2%, +3%, +5%
Y: +7%, -2%, +3%, -5%, +10%
In this case the sample covariance between the two time series can be calculated as:

A) 0.40729
B) 0.32583
C) 0.00087
D) 0.00109

3. In statistical hypothesis tests, 'Type I error' refers to the situation in which...

A) The null hypothesis is rejected when in fact it should have been accepted
B) The null hypothesis is accepted when in fact it should have been rejected
C) Both null hypothesis and alternative hypothesis are rejected
D) Both null hypothesis and alternative hypothesis are accepted

4. Which of the following is not a sequence?

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

5. The quarterly compounded rate of return is 6% per annum. What is the corresponding effective annual return?

A) None of the above
B) 6%
C) 6.14%
D) 1.50%

Solutions: