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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

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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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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