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

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PRMIA 8007 Exam Syllabus Topics:

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

1. Let N(.) denote the cumulative distribution function and suppose that X and Y are standard normally distributed and uncorrelated. Using the fact that N(1.96)=0.975, the probability that X 0 and Y 1.96 is approximately

A) 0.25%
B) 0.49%
C) 0.488%
D) 0.495%

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

3. An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101.
Approximate the value of the option delta using a first order central finite difference.

A) -0.5
B) 0.25
C) -0.25
D) -4

4. At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

A) 2
B) -0.666666667
C) 2.66667
D) 0

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

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

Solutions: