PRMIA 8007 : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

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PRMIA 8007 Exam Syllabus Topics:

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

1. When the errors in a linear regression show signs of positive autocorrelation, which of the statements below is true?

A) The regression coefficient will be unbiased, but the standard error of the regression coefficient will be overstated
B) The regression coefficient will be too high and the standard error of the regression coefficient will be understated
C) The regression coefficient will be too low and the standard error of the regression coefficient will be overstated
D) The regression coefficient will be unbiased, but the standard error of the regression coefficient will be understated

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) 1
B) 2
C) 3
D) 0

3. What is the maximum value for f(x)= 8-(x+3)(x-3)?

A) 17
B) -1
C) None of these
D) 8

4. 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), (iii), and (iv)
B) (i) and (iv)
C) (i), (ii), (iii), and (iv)
D) (i), (ii), and (iii)

5. 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 50%. The volatility of my portfolio is

A) 20%
B) 24.4%
C) 16%
D) 17.4%

Solutions: