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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) =
B) det(2X) = 4 det(X)
C) det(2X) = 2 det(X)
D) det(2X) = det(X)2
2. Let E(X ) = 1, E(Y ) = 3, Corr(X, Y ) = -0.2, E(X2 ) = 10 and E(Y2 ) = 13. Find the covariance between X and Y
A) None of the above
B) 1.3
C) -2.8
D) -1.2
3. You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.
A) an annually compounded rate of 4.15%
B) a quarterly-compounded rate of 4.1%
C) a lump-sum payment of $22 500 on maturity (in five years)
D) a continuously-compounded rate of 4%
4. Which of the following statements is not correct?
A) For finite and small domains, the action of a function may be specified by a list.
B) A function is defined by its domain together with its action.
C) A function is a rule that assigns to every value x at least one value of y.
D) Every linear function is also a quadratic function.
5. What can be said about observations of random variables that are i.i.d. a normally distributed?
A) The estimated mean divided by the estimated variance has a Chi2-distribution
B) The estimated mean divided by the estimated standard deviation has a t-distribution
C) The estimated mean divided by the estimated variance has a t-distribution
D) The estimated mean divided by the estimated standard deviation has a Chi2-distribution
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: B |
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