PRMIA 8007

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PRMIA 8007 Exam Syllabus Topics:

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

1. On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?

A) 0.100
B) 0.905
C) 0.095
D) 0.95

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

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

3. Which statement regarding the matrix below is true?

A) It is positive definite
B) It is negative definite
C) It is positive semi-definite
D) It is not positive definite

4. What can be said about observations of random variables that are i.i.d. a normally distributed?

A) The estimated mean divided by the estimated variance has a t-distribution
B) The estimated mean divided by the estimated standard deviation has a Chi2-distribution
C) The estimated mean divided by the estimated variance has a Chi2-distribution
D) The estimated mean divided by the estimated standard deviation has a t-distribution

5. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
Which of the following is an approximate 95% confidence interval for the true value of the coefficient of ?

A) [0, 3]
B) [1, 2]
C) None of the above
D) [0, 1.5]

Solutions: