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PRMIA 8007 Exam Syllabus Topics:

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

Question 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%

Question 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

Question 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

Question 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

Question 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: