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PRMIA 8007 Exam Syllabus Topics:

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

Question 1

The fundamental theorem of analysis establishes a relation between

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

Question 2

There are two portfolios with no overlapping of stocks or bonds. Portfolio 1 has 6 stocks and 6 bonds.
Portfolio 2 has 4 stocks and 8 bonds. If we randomly select one stock, what is the probability that it came from Portfolio1?

A. 0.6
B. None of these
C. 0.3
D. 0.5

Question 3

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

Question 4

Which of the following statements is true for symmetric positive definite matrices?

A. Its eigenvalues are all positive
B. If a is its eigenvalue, then is also its eigenvalue
C. One of its eigenvalues equals 0
D. If a is its eigenvalue, then -a is also its eigenvalue

Question 5

Find the first-order Taylor approximation p(x) for the function: at the point .

A. -x
B. x-1
C. x+1
D. -x+1

Solutions: