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You are given the following information about EEE stock: The spot price of EEE stock is 44.00. An American style call option C(40.00, 6 months)

You are given the following information about EEE stock:

The spot price of EEE stock is 44.00.

An American style call option C(40.00, 6 months) has a premium of 5.00. The risk free interest rate is 8% compounded continuously.

The only dividend EEE stock is expected to pay is $2.00 in 3 months.

From today until expiration, determine the range of dates where the early exercise of this option would be:

a. Neither Rational or Optimal

b. Rational, but not Optimal

c. Rational, and Optimal

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