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

1. What is the 40th term in the following series: 4, 14, 30, 52, ...?

A) 4840
B) 240
C) 4598
D) 4960

2. In a binomial tree lattice, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of . The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. The risk neutral probability for an up move is:

A) 0.5292
B) 0.5286
C) 0.5290
D) 0.5288

3. Which of the following properties is exhibited by multiplication, but not by addition?

A) invertibility
B) associativity
C) commutativity
D) distributivity

4. Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative. Which of the following is false?

A) N'(0) 0
B) N'(x) 0 as x
C) N(x) 0 as x
D) N(0) = 0.5

5. I have $5m to invest in two stocks: 75% of my capital is invested in stock 1 which has price 100 and the rest is invested in stock 2, which has price 125. If the price of stock 1 falls to 90 and the price of stock 2 rises to 150, what is the return on my portfolio?

A) 2.50%
B) 5%
C) -5%
D) -2.50%

Solutions: