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

1. Which of the following statements is not correct?

A) Every linear function is also a quadratic function.
B) A function is a rule that assigns to every value x at least one value of y.
C) A function is defined by its domain together with its action.
D) For finite and small domains, the action of a function may be specified by a list.

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

3. Evaluate the derivative of ln(1+ x2) at the point x = 1

A) 1
B) 0.5
C) 2
D) 0

4. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
Which of the following is an approximate 95% confidence interval for the true value of the coefficient of ?

A) None of the above
B) [1, 2]
C) [0, 1.5]
D) [0, 3]

5. A bond has modified duration 6 and convexity 30. Find the duration-convexity approximation to the percentage change in bond price when its yield increases by 5 basis points

A) 30 basis points fall.
B) 10 basis point rise
C) 24 basis fall
D) 24 basis point rise

Solutions: