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PRMIA 8007 Exam Syllabus Topics:

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

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

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

2. Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?

A) 3
B) 1
C) 0
D) 2

3. Which of the following can be used to evaluate a regression model?
(i) Magnitude of R2
(ii) Magnitude of TSS (total sum of squares)
(iii) Tests for statistical significance
(iv) Sign and magnitude of each regression parameter

A) (i), (ii), and (iii)
B) (i), (ii), (iii), and (iv)
C) (i) and (iv)
D) (i), (iii), and (iv)

4. The gradient of a smooth function is

A) matrix of second partial derivatives of a function
B) infinite at a maximum point
C) a vector that shows the direction of fastest change of a function
D) a matrix containing the function's second partial derivatives

5. Bond convexity is closely related to ...

A) The derivative of the bond's present value with respect to yield
B) The integral of the bond's present value with respect to yield
C) The second derivative of the bond's present value with respect to yield
D) The sensitivity of the bond's present value with respect to yield

Solutions: