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8007 Exam Dumps : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

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Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Questions and Answers

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Question 1

Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?

Options:

A.

E(exp(X)) = 1.6487

B.

E(exp(X)) = 1

C.

E(exp(X)) = 2.7183

D.

E(exp(X)) = 0.6065

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Question 2

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

Options:

A.

test statistic = SD(β)/MEAN(β), normal distribution

B.

test statistic = MEAN(β)/SD(β), normal distribution

C.

test statistic = SD(β)/MEAN(β), t distribution

D.

test statistic = MEAN(β)/SD(β), t distribution

Question 3

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?

Options:

A.

0.32

B.

0.64

C.

0.96

D.

1.92

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