PRMIA 8007

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

1. 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) a quarterly-compounded rate of 4.1%
B) a continuously-compounded rate of 4%
C) an annually compounded rate of 4.15%
D) a lump-sum payment of $22 500 on maturity (in five years)

2. Calculate the determinant of the following matrix:

A) 4.25
B) 2
C) 4
D) -4.25

3. Concerning a standard normal distribution and a Student's t distribution (with more than four degrees of freedom), which of the following is true?

A) The normal distribution has higher kurtosis than the t distribution.
B) Which has the higher kurtosis depends on the degrees of freedom of the t distribution.
C) The distributions have the same kurtosis.
D) The normal distribution has lower kurtosis than the t distribution.

4. Find the first-order Taylor approximation p(x) for the function: at the point .

A) x+1
B) x-1
C) -x
D) -x+1

5. In a quadratic Taylor approximation, a function is approximated by:

A) a cubic polynomial
B) a parabola
C) a constant
D) a straight line

Solutions: