PRMIA 8007

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

1. The fundamental theorem of analysis establishes a relation between

A) The derivative of a function and the derivative of its inverse function
B) Integration and differentiation of functions
C) The derivative of a function and the slope of its graph
D) First and second derivative of a function

2. Two vectors are orthogonal when:

A) their determinant is zero
B) their components are linearly dependent
C) their scalar product (sum product) is zero
D) one is a scalar multiple of the other

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

4. I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is

A) 14.4%
B) 24%
C) 4%
D) 20%

5. Consider the following distribution data for a random variable X: What is the mean and variance of X?

A) 3.4 and 3.84
B) 3.6 and 7.15
C) 3.5 and 3.45
D) None of these

Solutions: