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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

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

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Question 2

The fundamental theorem of analysis establishes a relation between

Options:

A.

First and second derivative of a function

B.

The derivative of a function and the slope of its graph

C.

Integration and differentiation of functions

D.

The derivative of a function and the derivative of its inverse function

Question 3

A 2-step binomial tree is used to value an American put option with strike 105, given that the underlying price is currently 100. At each step the underlying price can move up by 10 or down by 10 and the risk-neutral probability of an up move is 0.6. There are no dividends paid on the underlying and the continuously compounded risk free interest rate over each time step is 1%. What is the value of the option in this model?

Options:

A.

7.12

B.

6.59

C.

7.44

D.

7.29

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