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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

An underlying asset price is at 100, its annual volatility is 25% and the risk free interest rate is 5%. A European call option has a strike of 85 and a maturity of 40 days. Its Black-Scholes price is 15.52. The options sensitivities are: delta = 0.98; gamma = 0.006 and vega = 1.55. What is the delta-gamma-vega approximation to the new option price when the underlying asset price changes to 105 and the volatility changes to 28%?

Options:

A.

17.33

B.

18.75

C.

19.23

D.

20.54

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Question 2

Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?

Options:

A.

The lattice will not recombine

B.

The probability of an up move will not be constant

C.

There will always be a downward drift in the lattice

D.

None of the above

Question 3

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?

Options:

A.

5/7

B.

8/11

C.

6/11

D.

None of these

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