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PRMIA 8007 Exam Syllabus Topics:

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

1. The determinant of a matrix X is equal 2. Which of the following statements is true?

A) det(2X) = 4 det(X)
B) det(2X) = 2 det(X)
C) det(2X) =
D) det(2X) = det(X)2

2. 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) 18.75
C) 17.33
D) 19.23

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

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

4. What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65,...?

A) 2 097 170
B) 1 048 574
C) 2 097 172
D) 1 048 595

5. You want to test the hypothesis that a population parameter of a regression model is zero. Your alternative hypothesis is that 0. Denote by SD() the estimated standard deviation of , and by MEAN() the estimated mean of . Which test statistic is appropriate, and what is its distribution?

A) test statistic = MEAN()/SD(), normal distribution
B) test statistic = SD()/MEAN(), normal distribution
C) test statistic = SD()/MEAN(), t distribution
D) test statistic = MEAN()/SD(), t distribution

Solutions: