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

1. Variance reduction is:

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

2. Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...

A) One dependent variable, many independent variables, one error variable
B) Many dependent variables, one independent variable, one error variable
C) Many dependent variables, many independent variables, many error variables
D) One dependent variable, one independent variable, many error variables

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

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

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

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

Solutions: