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

1. A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?

A) 0.75
B) 0.375
C) 0.3333
D) 1.125

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

3. Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...

A) One dependent variable, one independent variable, many error variables
B) One dependent variable, many independent variables, one error variable
C) Many dependent variables, one independent variable, one error variable
D) Many dependent variables, many independent variables, many error variables

4. What is the 40th term in the following series: 4, 14, 30, 52, ...?

A) 4840
B) 4960
C) 4598
D) 240

5. Maximum likelihood estimation is a method for:

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

Solutions: