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PRMIA 8007 Exam Syllabus Topics:

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

1. Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?

A) E(exp(X)) = 0.6065
B) E(exp(X)) = 1
C) E(exp(X)) = 1.6487
D) E(exp(X)) = 2.7183

2. Over four consecutive years fund X returns 1%, 5%, -3%, 8%. What is the average growth rate of fund X over this period?

A) 2.75%
B) 2.49%
C) None of the above
D) 2.67%

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. An underlying asset price is at 100, its annual volatility is 25% and the risk free interest rate is 5%. A European call option has a strike of 85 and a maturity of 40 days. Its Black-Scholes price is 15.52. The options sensitivities are: delta = 0.98; gamma = 0.006 and vega = 1.55. What is the delta-gamma-vega approximation to the new option price when the underlying asset price changes to 105 and the volatility changes to 28%?

A) 20.54
B) 17.33
C) 19.23
D) 18.75

5. Which of the following can induce a 'multicollinearity' problem in a regression model?

A) A large negative correlation between the dependent variable and one of the explanatory variables
B) A high positive correlation between the dependent variable and one of the explanatory variables
C) The omission of a relevant explanatory variable
D) A high positive correlation between two explanatory variables

Solutions: