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

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

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

2. Maximum likelihood estimation is a method for:

A) Finding parameter estimates of a given density function
B) Estimating the solution of a partial differential equation
C) Solving a portfolio optimization problem
D) Estimating the implied volatility of a simple European option

3. A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?

A) 1.125
B) 0.375
C) 0.3333
D) 0.75

4. A 2-step binomial tree is used to value an American put option with strike 105, given that the underlying price is currently 100. At each step the underlying price can move up by 10 or down by 10 and the risk-neutral probability of an up move is 0.6. There are no dividends paid on the underlying and the continuously compounded risk free interest rate over each time step is 1%. What is the value of the option in this model?

A) 7.44
B) 7.12
C) 7.29
D) 6.59

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 50%. The volatility of my portfolio is

A) 16%
B) 20%
C) 17.4%
D) 24.4%

Solutions: