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PRMIA 8007 Exam Syllabus Topics:

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

1. 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) 1.92
C) 0.64
D) 0.32

2. A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?

A) 1.86
B) 1.75
C) 2
D) 1.95

3. The first derivative of a function f(x) is zero at some point, the second derivative is also zero at this point. This means that:

A) f has necessarily neither a minimum nor a maximum at this point
B) f has necessarily a minimum at this point
C) f might have either a minimum or a maximum or neither of them at this point
D) f has necessarily a maximum at this point

4. Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8

A) x = 2, y = 0
B) None of the above
C) x = 1, y = 0.5
D) x = -2, y = 2

5. In a multiple linear regression, the significance of R2 can be tested using which distribution?

A) Binomial distribution
B) Normal distribution
C) Student's t distribution
D) F-distribution

Solutions: