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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Linear Algebra | - Matrix Methods
|
| Topic 2: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 3: Calculus | - Differential and Integral Calculus
|
| Topic 4: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 5: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 6: Numerical Methods | - Quantitative Techniques
|
| Topic 7: Probability Theory | - Fundamental Probability Concepts
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
A 2-step binomial tree is used to value an American put option with strike 105, given that the underlying price is currently 100. At each step the underlying price can move up by 10 or down by 10 and the risk-neutral probability of an up move is 0.6. There are no dividends paid on the underlying and the continuously compounded risk free interest rate over each time step is 1%. What is the value of the option in this model?
- A. 7.44
- B. 7.29
- C. 6.59
- D. 7.12
Correct Answer: D 🗳️
Let a, b and c be real numbers. Which of the following statements is true?
- A. The associativity of multiplication is defined by
- B. The commutativity of multiplication is defined by
- C. The existence of negatives is defined by
- D. The distributivity of multiplication is defined by
Correct Answer: D 🗳️
Find the roots, if they exist in the real numbers, of the quadratic equation
- A. 1 and 0
- B. 4 and -2
- C. No real roots
- D. -4 and 2
Correct Answer: C 🗳️
In a portfolio there are 7 bonds: 2 AAA Corporate bonds, 2 AAA Agency bonds, 1 AA Corporate and 2 AA Agency bonds. By an unexplained characteristic the probability of any specific AAA bond outperforming the others is twice the probability of any specific AA bond outperforming the others. What is the probability that an AA bond or a Corporate bond outperforms all of the others?
- A. 8/11
- B. 5/7
- C. None of these
- D. 6/11
Correct Answer: C 🗳️
In statistical hypothesis tests, 'Type I error' refers to the situation in which...
- A. Both null hypothesis and alternative hypothesis are rejected
- B. Both null hypothesis and alternative hypothesis are accepted
- C. The null hypothesis is accepted when in fact it should have been rejected
- D. The null hypothesis is rejected when in fact it should have been accepted
Correct Answer: D 🗳️
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