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

1. Suppose 60% of capital is invested in asset 1, with volatility 40% and the rest is invested in asset 2, with volatility 30%. If the two asset returns have a correlation of -0.5, what is the volatility of the portfolio?

A) 26.33%
B) 20.78%
C) 36%
D) 36.33%

2. A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?

A) 1.86
B) 1.95
C) 1.75
D) 2

3. 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) 5%
B) 2.50%
C) -2.50%
D) -5%

4. For the function f(x) =3x-x3 which of the following is true?

A) x = 2 is a maximum
B) None of these
C) x = -3 is a maximum
D) x = 0 is a minimum

5. Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1

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

Solutions: