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PRMIA 8007 Exam Syllabus Topics:

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

2. Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?

A) E(exp(X)) = 1.6487
B) E(exp(X)) = 2.7183
C) E(exp(X)) = 0.6065
D) E(exp(X)) = 1

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

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

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

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

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

Solutions: