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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Probability and Statistics Foundations | - Statistical inference
|
| Stochastic Processes and Time Series | - Stochastic processes basics
|
| Risk Measurement Techniques | - Volatility and correlation
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. 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) - F(x)g'(x)dx
C) F(x)G(x)
D) f(x)G(x) - F(x)g'(x)dx
2. When the errors in a linear regression show signs of positive autocorrelation, which of the statements below is true?
A) The regression coefficient will be unbiased, but the standard error of the regression coefficient will be overstated
B) The regression coefficient will be unbiased, but the standard error of the regression coefficient will be understated
C) The regression coefficient will be too high and the standard error of the regression coefficient will be understated
D) The regression coefficient will be too low and the standard error of the regression coefficient will be overstated
3. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:
A) non-linear
B) integrated of order 2
C) non-functional
D) differential
4. A quadratic form is
A) an algebraic expression in two variables, x and y, involving , , and terms.
B) defined as a positive definite Hessian matrix.
C) a specific solution of the Black-Scholes pricing formula
D) an algebraic expression in two variables, x and y, involving , and terms.
5. A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution
A) flat and thick at the center and with thin tails
B) peaked and thin at the center and with heavy (fat) tails
C) flat and thick at the center and with heavy (fat) tails
D) peaked and thin at the center and with thin tails
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: D | Question # 5 Answer: B |
