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

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

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

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

2. Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

A) not defined
B) negative
C) positive
D) zero

3. Over four consecutive years fund X returns 1%, 5%, -3%, 8%. What is the average growth rate of fund X over this period?

A) 2.75%
B) None of the above
C) 2.49%
D) 2.67%

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

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

5. 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) non-linear
C) non-functional
D) differential

Solutions: