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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?

A) A structural break in the dependent variable
B) The omission of a relevant explanatory variable
C) A high positive correlation between two explanatory variables
D) Using an inappropriate functional form in the model

2. In a portfolio there are 7 bonds: 2 AAA Corporate bonds, 2 AAA Agency bonds, 1 AA Corporate and 2 AA Agency bonds. By an unexplained characteristic the probability of any specific AAA bond outperforming the others is twice the probability of any specific AA bond outperforming the others. What is the probability that an AA bond or a Corporate bond outperforms all of the others?

A) 6/11
B) 5/7
C) None of these
D) 8/11

3. Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24

A) geometric sequence, common ratio 2
B) arithmetic sequence, common ratio 2
C) arithmetic sequence, common difference 2
D) geometric sequence, common ratio 3

4. 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) 7/8
B) 9/16
C) None of these
D) 11/16

5. Maximum likelihood estimation is a method for:

A) Estimating the solution of a partial differential equation
B) Solving a portfolio optimization problem
C) Finding parameter estimates of a given density function
D) Estimating the implied volatility of a simple European option

Solutions: