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PRMIA 8007 Exam Syllabus Topics:

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

1. Maximum likelihood estimation is a method for:

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

2. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?

A) 2.5
B) 0.125
C) -2.5
D) -1.25

3. Which of the following statements is true for symmetric positive definite matrices?

A) One of its eigenvalues equals 0
B) Its eigenvalues are all positive
C) If a is its eigenvalue, then -a is also its eigenvalue
D) If a is its eigenvalue, then is also its eigenvalue

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

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

5. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?

A) 0.96
B) 0.32
C) 1.92
D) 0.64

Solutions: