Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition training material

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PRMIA 8007 Exam Syllabus Topics:

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

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

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

2. Find the roots, if they exist in the real numbers, of the quadratic equation

A) 1 and 0
B) 4 and -2
C) No real roots
D) -4 and 2

3. Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by

A) F(x)g(x) + f(x)G(x)
B) f(x)G(x) - F(x)g'(x)dx
C) F(x)G(x)
D) F(x)g(x) - F(x)g'(x)dx

4. What is a Hessian?

A) A matrix of second derivatives of a function
B) Correlation matrix of market indices
C) The vector of partial derivatives of a contingent claim
D) The point at which a minimum of a multidimensional function is achieved

5. You want to test the hypothesis that a population parameter of a regression model is zero. Your alternative hypothesis is that 0. Denote by SD() the estimated standard deviation of , and by MEAN() the estimated mean of . Which test statistic is appropriate, and what is its distribution?

A) test statistic = MEAN()/SD(), t distribution
B) test statistic = SD()/MEAN(), normal distribution
C) test statistic = MEAN()/SD(), normal distribution
D) test statistic = SD()/MEAN(), t distribution

Solutions: