Consider a two-period binomial model, where each period is 6 months. Assume the stock price is $46.00, σ = 0.28, r = 0.06 and the dividend yield is 2.0%. What is the maximum approximate strike price where early exercise would occur with an American call option?
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Answer:
From the given see that the period is of 6 months
=>The stock price =$46.00
here the time is 1 year and divided is split into 2 periods of 6 months each
=>divi yield=2.0%
after 6 month volatility is =0.28
ris free rate =0.06
For call option to occur
after 6 months, 0.28 decrease is given by $46.00*(0.28/100)=$46.00-0.128=$45.87
then in next 6 month 0.06 increase is given by $46.00*(0.06/100=$46.00-0.0276=$45.97
then the maximum strike price is givenn by ($45.87-$45.97 / 0.28 - 0.06)*2.0%=$ 2.367
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