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PRMIA 8007 Exam Syllabus Topics:

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

Question 1

At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

A. -0.666666667
B. 2.66667
C. 2
D. 0

Question 2

A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?

A. 0.32
B. 1.92
C. 0.96
D. 0.64

Question 3

What is the simplest form of this expression: log2(165/2)

A. 5/2 + log2(16)
B. 10
C. log2 (5/2) + log2(16)
D. 32

Question 4

What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?

A. exp(x)
B. ln(x) - x
C. 1/x
D. x ln(x) - x

Question 5

In a 2-step binomial tree, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of d = 1/u. The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. Use the Cox, Ross, Rubinstein parameterization to find the risk neutral probability and hence find the value of a European put option with strike 102, given that the underlying price is currently 100.

A. 6.31
B. 5.19
C. 5.66
D. 4.18

Solutions: