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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 2: Numerical Methods | - Quantitative Techniques
|
| Topic 3: Probability Theory | - Fundamental Probability Concepts
|
| Topic 4: Calculus | - Differential and Integral Calculus
|
| Topic 5: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 6: Linear Algebra | - Matrix Methods
|
| Topic 7: Statistical Analysis | - Descriptive and Inferential Statistics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. Your stockbroker randomly recommends stocks to his clients from a tip sheet he is given each day. Today, his tip sheet has 3 common stocks and 5 preferred stocks from Asian companies and 3 common stocks and 5 preferred stocks from European companies. What is the probability that he will recommend a common stock AND/OR a European stock to you when you call and ask for one stock to buy today?
A) None of these
B) 9/16
C) 7/8
D) 11/16
2. In a binomial tree lattice, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of . The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. The risk neutral probability for an up move is:
A) 0.5286
B) 0.5292
C) 0.5290
D) 0.5288
3. 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) $2,208,972
D) None of them
4. Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?
A) 1
B) 3
C) 2
D) 0
5. What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?
A) 57 degrees
B) 180 degrees
C) 90 degrees
D) 45 degrees
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: C |
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