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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 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.

2. Consider the linear regression model for the returns of stock A and the returns of stock B. Stock A is 50% more volatile than stock B. Which of the following statements is TRUE?

A) The stocks must be positively correlated ( )
B) Beta must be positive ( )
C) Beta must be greater in absolute value than the correlation of the stocks ( )
D) Alpha must be positive ( )

3. Two vectors are orthogonal when:

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

4. Let E(X ) = 1, E(Y ) = 3, Corr(X, Y ) = -0.2, E(X2 ) = 10 and E(Y2 ) = 13. Find the covariance between X and Y

A) 1.3
B) -1.2
C) -2.8
D) None of the above

5. What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?

A) 45 degrees
B) 180 degrees
C) 57 degrees
D) 90 degrees

Solutions: