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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 zero against the alternative that is less than zero?

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

2. Which of the following statements are true about Maximum Likelihood Estimation?
(i) MLE can be applied even if the error terms are not i.i.d. normal.
(ii) MLE involves integrating a likelihood function or a log-likelihood function.
(iii) MLE yields parameter estimates that are consistent.

A) (i) only
B) (i) and (ii)
C) (i), (ii), and (iii)
D) (i) and (iii)

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

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

4. An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101.
Approximate the value of the option delta using a first order central finite difference.

A) -4
B) -0.5
C) 0.25
D) -0.25

5. What is the simplest form of this expression: log2(165/2)

A) log2 (5/2) + log2(16)
B) 5/2 + log2(16)
C) 10
D) 32

Solutions: