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PRMIA 8007 Exam Syllabus Topics:

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

1. In statistical hypothesis tests, 'Type I error' refers to the situation in which...

A) The null hypothesis is accepted when in fact it should have been rejected
B) Both null hypothesis and alternative hypothesis are accepted
C) Both null hypothesis and alternative hypothesis are rejected
D) The null hypothesis is rejected when in fact it should have been accepted

2. Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is

A) mean is 0, variance is 1/3
B) mean is 0, variance is 1/2
C) mean is 0, variance is 2/3
D) mean is 1/3, variance is 1/3

3. At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

A) -0.666666667
B) 2.66667
C) 2
D) 0

4. In a portfolio there are 7 bonds: 2 AAA Corporate bonds, 2 AAA Agency bonds, 1 AA Corporate and 2 AA Agency bonds. By an unexplained characteristic the probability of any specific AAA bond outperforming the others is twice the probability of any specific AA bond outperforming the others. What is the probability that an AA bond or a Corporate bond outperforms all of the others?

A) 6/11
B) None of these
C) 8/11
D) 5/7

5. Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

A) zero
B) negative
C) not defined
D) positive

Solutions: