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PRMIA 8007 Exam Syllabus Topics:

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

1. What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?

A) (x + y) / (x+y)
B) -x/(x+y) - y/(x+y)
C) ln(x+y) x + ln(x+y) y
D) 1 / (x+y)

2. Assume that 40% of all financial organizations investigated by authorities turn out to be fraudulent.
What is the probability of randomly investigating 2 different organizations and finding that neither is fraudulent; and what is the probability of finding exactly one being fraudulent?

A) 1/3 and 8/17
B) 9/25 and 12/25
C) 2/5 and 3/5
D) 2/5 and 1/2

3. You are investigating the relationship between weather and stock market performance. To do this, you pick
100 stock market locations all over the world. For each location, you collect yesterday's mean temperature and humidity and yesterday's local index return. Performing a regression analysis on this data is an example of...

A) Multiple time-series regression
B) Simple time-series regression
C) Multiple cross-section regression
D) Simple cross-section regression

4. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) $2.205,000
B) $2,210,342
C) None of them
D) $2,208,972

5. Calculate the determinant of the following matrix:

A) 2
B) -4.25
C) 4.25
D) 4

Solutions: