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PRMIA 8007 Exam Syllabus Topics:

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

1. 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) $2,208,972
B) $2.205,000
C) $2,210,342
D) None of them

2. Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1

A) 0.5
B) 0
C) 1
D) 2

3. Which of the provided answers solves this system of equations?
2y - 3x = 3y +x
y2 + x2 = 68

A) x = 1; y = square root of 67
B) x = 2; y = -8
C) x = -2; y = -8
D) x = 2; y = 8

4. You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate after-tax profit from the investment, rounded to $10?

A) $7100
B) $7230
C) $9420
D) $7350

5. Assume that 40% of all financial organizations investigated by authorities turn out to be fraudulent.
What is the probability of randomly investigating 2 different organizations and finding that neither is fraudulent; and what is the probability of finding exactly one being fraudulent?

A) 9/25 and 12/25
B) 1/3 and 8/17
C) 2/5 and 3/5
D) 2/5 and 1/2

Solutions: