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PRMIA 8007 Exam Syllabus Topics:

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

1. Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?

A) 1.638
B) 2.362
C) 1.623
D) 0.377

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

3. Consider an investment fund with the following annual return rates over 8 years: +6%, -6%, +12%, -12%,
+3%, -3%, +9%, -9% .
What can you say about the annual geometric and arithmetic mean returns of this investment fund?

A) None of the above
B) The arithmetic mean return is equal to the geometric mean return
C) The arithmetic mean return is negative and the geometric mean return is zero
D) The arithmetic mean return is zero and the geometric mean return is negative

4. Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is

A) mean is 1/3, variance is 1/3
B) mean is 0, variance is 1/3
C) mean is 0, variance is 1/2
D) mean is 0, variance is 2/3

5. Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1

A) 0.5
B) 1
C) 0
D) 2

Solutions: