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PRMIA 8007 Exam Syllabus Topics:

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) 36.33%
C) 20.78%
D) 36%

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

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

3. Which of the provided answers solves this system of equations?
2y - 3x = 3y +x
y2 + x2 = 68

A) x = 2; y = -8
B) x = -2; y = -8
C) x = 2; y = 8
D) x = 1; y = square root of 67

4. What is the probability of tossing a coin and getting exactly 2 heads out of 5 throws?

A) 8/15
B) 9/23
C) None of these
D) 10/32

5. Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?

A) The lattice will not recombine
B) There will always be a downward drift in the lattice
C) None of the above
D) The probability of an up move will not be constant

Solutions: