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PRMIA 8007 Exam Syllabus Topics:

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

1. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

A) non-linear
B) differential
C) integrated of order 2
D) non-functional

2. Which statement regarding the matrix below is true?

A) It is negative definite
B) It is positive definite
C) It is not positive definite
D) It is positive semi-definite

3. For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)

A) convex, concave, concave
B) convex, convex, concave
C) concave, convex, convex
D) concave, concave, concave

4. Suppose 60% of capital is invested in asset 1, with volatility 40% and the rest is invested in asset 2, with volatility 30%. If the two asset returns have a correlation of -0.5, what is the volatility of the portfolio?

A) 36%
B) 20.78%
C) 26.33%
D) 36.33%

5. Which of the following can induce a 'multicollinearity' problem in a regression model?

A) The omission of a relevant explanatory variable
B) A high positive correlation between two explanatory variables
C) A large negative correlation between the dependent variable and one of the explanatory variables
D) A high positive correlation between the dependent variable and one of the explanatory variables

Solutions: