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a. Computethe price of a European call option using the two period binomial model assuming the following data: S 0 = 10, T = 2

a. Computethe price of a European call option using the two period binomial model assuming

the following data:

S

0

= 10, T = 2 months, u = 1.5, d = 0.5, r = 0.05, K = 7, D=0

.

b.If the call option were selling at $4

, what would you do to create riskless arbitrage strategy?

Explain how the strategy is maintained over the two binomial periods assuming the

underlying asset price

declines in the first period

. Construct a table to demonstrate the exact

strategy and the cashflows from the strategy.

c.Now suppose the option is American. Verify that early exercise of the American call is not

optimal.

Show all calculations.

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