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| Section | Objectives |
|---|---|
| Probability and Statistics Foundations | - Random variables and probability distributions
|
| Risk Measurement Techniques | - Volatility and correlation
|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Stochastic Processes and Time Series | - Time series analysis
|
1. You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.
A) a lump-sum payment of $22 500 on maturity (in five years)
B) a quarterly-compounded rate of 4.1%
C) a continuously-compounded rate of 4%
D) an annually compounded rate of 4.15%
2. 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) -4
C) 0.25
D) -0.25
3. Which of the following is consistent with the definition of a Type I error?
A) The probability of a Type I error is 100% minus the significance level
B) A Type I occurs whenever data series are serially correlated
C) A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of no correlation was rejected
D) A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of positive correlation was rejected
4. Which statement regarding the matrix below is true?
A) It is not positive definite
B) It is negative definite
C) It is positive definite
D) It is positive semi-definite
5. The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:
A) 20
B) 12
C) Infinity
D) 128
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: A | Question # 5 Answer: C |
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