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Instant Download 8007 Exam Dumps : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Risk Measurement Techniques | - Volatility and correlation
|
| Topic 2: Stochastic Processes and Time Series | - Stochastic processes basics
|
| Topic 3: Probability and Statistics Foundations | - Statistical inference
|
| Topic 4: Simulation and Numerical Methods | - Monte Carlo simulation
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
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. 7/8
- C. 9/16
- D. 11/16
Correct Answer: D 🗳️
Suppose 60% of capital is invested in asset 1, with volatility 40% and the rest is invested in asset 2, with volatility 30%. If the two asset returns have a correlation of -0.5, what is the volatility of the portfolio?
- A. 36%
- B. 20.78%
- C. 36.33%
- D. 26.33%
Correct Answer: B 🗳️
In a 2-step binomial tree, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of d = 1/u. The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. Use the Cox, Ross, Rubinstein parameterization to find the risk neutral probability and hence find the value of a European put option with strike 102, given that the underlying price is currently 100.
- A. 5.66
- B. 5.19
- C. 6.31
- D. 4.18
Correct Answer: C 🗳️
A quadratic form is
- A. a specific solution of the Black-Scholes pricing formula
- B. defined as a positive definite Hessian matrix.
- C. an algebraic expression in two variables, x and y, involving , , and terms.
- D. an algebraic expression in two variables, x and y, involving , and terms.
Correct Answer: D 🗳️
A 95% confidence interval for a parameter estimate can be interpreted as follows:
- A. The probability that the estimated value of the parameter is outside this interval is 95%.
- B. The probability that the estimated value of the parameter is within this interval is 95%.
- C. The probability that the real value of the parameter is within this interval is 95%.
- D. The probability that the real value of the parameter is outside this interval is 95%.
Correct Answer: C 🗳️
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