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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

Find the first-order Taylor approximation p(x) for the function: at the point .

Options:

A.

-x

B.

-x+1

C.

x-1

D.

x+1

Question 3

You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

Options:

A.

$2,208,972

B.

$2,210,342

C.

$2.205,000

D.

None of them

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