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January 28, 2015

January 28, 2015

Posted by **Anonymous** on Tuesday, October 16, 2012 at 4:21pm.

and that the interest rate (continuously compounding, annualized) is 10%.

(1) p(90) = 4; p(100) = 9 1/8 ; p(110) = 16; p(120) = 25 3/4

(2) p(90) = 2 ¾ ; p(100) = 81/2 ; p(110) = 17; p(120) = 24

For each set of prices, please answer the following questions:

(a) Assume that the stock will not pay any dividend in the next 6 months. Do

these prices satisfy arbitrage restrictions on options values? If yes, prove it. If

not, construct an arbitrage portfolio to realize riskless pro_ts and show how that

portfolio performs whatever the underlying price does.

(b) Would your answer to Part (a) change if these put options are Americans? Why?

(c) Would your answer to Part (a) change if the stock will pay an unknown amount

of dividend in 3 months? Explain why.

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