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

1. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) $2,208,972
B) None of them
C) $2,210,342
D) $2.205,000

2. Evaluate the derivative of ln(1+ x2) at the point x = 1

A) 0
B) 0.5
C) 1
D) 2

3. What is the maximum value for f(x)= 8-(x+3)(x-3)?

A) -1
B) None of these
C) 17
D) 8

4. 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) -2.5
B) 0.125
C) 2.5
D) -1.25

5. 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 100%. The volatility of my portfolio is

A) 14.4%
B) 4%
C) 20%
D) 24%

Solutions: