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PRMIA 8007 Exam Syllabus Topics:

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

Question 1

The quarterly compounded rate of return is 6% per annum. What is the corresponding effective annual return?

A. 1.50%
B. None of the above
C. 6.14%
D. 6%

Question 2

An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101.
Approximate the value of the option delta using a first order central finite difference.

A. -0.25
B. 0.25
C. -4
D. -0.5

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 = 1; y = square root of 67
D. x = 2; y = 8

Question 4

What can be said about observations of random variables that are i.i.d. a normally distributed?

A. The estimated mean divided by the estimated variance has a Chi2-distribution
B. The estimated mean divided by the estimated standard deviation has a t-distribution
C. The estimated mean divided by the estimated standard deviation has a Chi2-distribution
D. The estimated mean divided by the estimated variance has a t-distribution

Question 5

Which of the following statements about skewness of an empirical probability distribution are correct?
1. When sampling returns from a time series of asset prices, discretely compounded returns exhibit higher skewness than continuously compounded returns
2. When the mean is significantly less than the median, this is an indication of negative skewness
3. Skewness is a sign of asymmetry in the dispersion of the data

A. Statements 1 and 2 are correct
B. Statements 1 and 3 are correct
C. Statements 2 and 3 are correct
D. All three statements are correct

Solutions: