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PRMIA 8007 Exam Syllabus Topics:

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

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

2. Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?

A) the CDF approaches 1 as its argument approaches infinity.
B) the definite integral of the CDF from minus infinity to plus infinity is undefined.
C) the definite integral of the PDF from minus infinity to plus infinity is zero.
D) the PDF is non-negative.

3. A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution

A) peaked and thin at the center and with heavy (fat) tails
B) peaked and thin at the center and with thin tails
C) flat and thick at the center and with heavy (fat) tails
D) flat and thick at the center and with thin tails

4. An asset price S is lognormally distributed if:

A) the change in price (dS) is normally distributed
B) 1/S is normally distributed
C) ln(1+dS/S) is normally distributed
D) ln(dS/S) is normally distributed

5. You are given the following regressions of the first difference of the log of a commodity price on the lagged price and of the first difference of the log return on the lagged log return. Each regression is based on 100 data points and figures in square brackets denote the estimated standard errors of the coefficient estimates:
Which of the following hypotheses can be accepted based on these regressions at the 5% confidence level (corresponding to a critical value of the Dickey Fuller test statistic of - 2.89)?

A) The commodity returns are stationary
B) The commodity returns are integrated of order 1
C) None of the above
D) The commodity prices are stationary

Solutions: