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| Section | Objectives |
|---|---|
| Probability Theory | - Fundamental Probability Concepts
|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Calculus | - Differential and Integral Calculus
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Numerical Methods | - Quantitative Techniques
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Linear Algebra | - Matrix Methods
|
1. An indefinite integral of a polynomial function is
A) none of the above
B) always positive
C) always less than the function itself
D) always increasing
2. Consider the linear regression model for the returns of stock A and the returns of stock B. Stock A is 50% more volatile than stock B. Which of the following statements is TRUE?
A) Alpha must be positive ( )
B) The stocks must be positively correlated ( )
C) Beta must be greater in absolute value than the correlation of the stocks ( )
D) Beta must be positive ( )
3. An asset price S is lognormally distributed if:
A) ln(1+dS/S) is normally distributed
B) ln(dS/S) is normally distributed
C) 1/S is normally distributed
D) the change in price (dS) is normally distributed
4. Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by
A) F(x)g(x) + f(x)G(x)
B) F(x)G(x)
C) f(x)G(x) - F(x)g'(x)dx
D) F(x)g(x) - F(x)g'(x)dx
5. Which of the following is not a sequence?
A) 30
B) , , , ... , , ...
C) , , , , , , ...
D) , , , , ...
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: D | Question # 5 Answer: A |
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