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

1. Which of the following statements is true?

A) Continuous compounding can be thought as making the compounding period infinitesimally small.
B) The constant plays an important role in the mathematical description of continuous compounding.
C) Discrete and continuous compounding produce the same results if the discount rate is positive.
D) Continuous compounding is the better method because it results in higher present values compared to discrete compounding.

2. The determinant of a matrix X is equal 2. Which of the following statements is true?

A) det(2X) = det(X)2
B) det(2X) =
C) det(2X) = 2 det(X)
D) det(2X) = 4 det(X)

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

4. Your stockbroker randomly recommends stocks to his clients from a tip sheet he is given each day. Today, his tip sheet has 3 common stocks and 5 preferred stocks from Asian companies and 3 common stocks and 5 preferred stocks from European companies. What is the probability that he will recommend a common stock AND/OR a European stock to you when you call and ask for one stock to buy today?

A) 9/16
B) None of these
C) 11/16
D) 7/8

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

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

Solutions: