PRMIA 8007

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PRMIA 8007 Exam Syllabus Topics:

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

1. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) None of them
B) $2.205,000
C) $2,208,972
D) $2,210,342

2. 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) 5.19
B) 6.31
C) 5.66
D) 4.18

3. If the annual volatility of returns is 25% what is the variance of the quarterly returns?

A) 0.0625
B) 0.1250
C) None of the above
D) 0.0156

4. For a quadratic equation, which of the following is FALSE?

A) If the discriminant is negative, there are no real solutions
B) If the discriminant is negative there are two different real solutions
C) If the discriminant is zero, there is only one solution
D) If the discriminant is positive there are two different real solutions

5. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

A) non-linear
B) integrated of order 2
C) non-functional
D) differential

Solutions: