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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. 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 continuously-compounded rate of 4%
C) an annually compounded rate of 4.15%
D) a quarterly-compounded rate of 4.1%
2. You are given the following regressions of the first difference of the log of a commodity price on the lagged price and of the first difference of the log return on the lagged log return. Each regression is based on 100 data points and figures in square brackets denote the estimated standard errors of the coefficient estimates:
Which of the following hypotheses can be accepted based on these regressions at the 5% confidence level (corresponding to a critical value of the Dickey Fuller test statistic of - 2.89)?
A) The commodity returns are integrated of order 1
B) The commodity prices are stationary
C) The commodity returns are stationary
D) None of the above
3. Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?
A) The omission of a relevant explanatory variable
B) A high positive correlation between two explanatory variables
C) A structural break in the dependent variable
D) Using an inappropriate functional form in the model
4. The fundamental theorem of analysis establishes a relation between
A) The derivative of a function and the derivative of its inverse function
B) Integration and differentiation of functions
C) First and second derivative of a function
D) The derivative of a function and the slope of its graph
5. 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) an algebraic expression in two variables, x and y, involving , , and terms.
D) a specific solution of the Black-Scholes pricing formula
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: B | Question # 5 Answer: A |
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