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

1. You are investigating the relationship between weather and stock market performance. To do this, you pick
100 stock market locations all over the world. For each location, you collect yesterday's mean temperature and humidity and yesterday's local index return. Performing a regression analysis on this data is an example of...

A) Multiple cross-section regression
B) Simple time-series regression
C) Simple cross-section regression
D) Multiple time-series regression

2. Concerning a standard normal distribution and a Student's t distribution (with more than four degrees of freedom), which of the following is true?

A) Which has the higher kurtosis depends on the degrees of freedom of the t distribution.
B) The normal distribution has higher kurtosis than the t distribution.
C) The distributions have the same kurtosis.
D) The normal distribution has lower kurtosis than the t distribution.

3. On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?

A) 0.100
B) 0.095
C) 0.905
D) 0.95

4. Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?

A) 3
B) 2
C) 0
D) 1

5. 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) 0.125
D) -2.5

Solutions: