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PRMIA 8007 Exam Syllabus Topics:

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

1. Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by

A) F(x)G(x)
B) F(x)g(x) - F(x)g'(x)dx
C) f(x)G(x) - F(x)g'(x)dx
D) F(x)g(x) + f(x)G(x)

2. Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative. Which of the following is false?

A) N'(x) 0 as x
B) N'(0) 0
C) N(x) 0 as x
D) N(0) = 0.5

3. Variance reduction is:

A) A method for reducing the number of simulations required in a Monte Carlo simulation
B) A technique that is applied in regression models to improve the accuracy of the coefficient estimates
C) A numerical method for finding the variance of the underlying that is implicit in a market price of an option
D) A numerical method for finding portfolio weights to minimize the variance of a portfolio that has a given expected return

4. A 95% confidence interval for a parameter estimate can be interpreted as follows:

A) The probability that the estimated value of the parameter is outside this interval is 95%.
B) The probability that the real value of the parameter is outside this interval is 95%.
C) The probability that the real value of the parameter is within this interval is 95%.
D) The probability that the estimated value of the parameter is within this interval is 95%.

5. Maximum likelihood estimation is a method for:

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

Solutions: