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PRMIA 8007 Exam Syllabus Topics:

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

1. What is the maximum value for f(x)= 8-(x+3)(x-3)?

A) 17
B) None of these
C) 8
D) -1

2. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) None of them
B) $2,210,342
C) $2.205,000
D) $2,208,972

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

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

4. Stress testing portfolios requires changing the asset volatilities and correlations to extreme values. Which of the following would lead to a non positive definite covariance matrix?

A) Changing the volatilities to be greater than 100%
B) Changing all the correlations to be zero
C) Changing all the correlations to be unity
D) All of the above

5. Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24

A) arithmetic sequence, common ratio 2
B) geometric sequence, common ratio 3
C) geometric sequence, common ratio 2
D) arithmetic sequence, common difference 2

Solutions: