
Explanation:
For an American call on a non-dividend-paying stock, the lower bound is:
Since and ,
However, the present value lower bound used in the provided solution is:
So:
Therefore, the correct answer is D.
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Question 182.3. Assume a one-year American call option (C) and a one-year American put option (P) both have a strike price (K) of $51.00 when the price of a non-dividend-paying stock (S) is $50.00. The riskless rate is 5.0%. What are the lower bounds, respectively, of the American call and American put?
A
C >= 0, P >= 0
B
C >= 0, P >= $1.00
C
C >= $1.49, P >= 0
D
C >= $1.49, P >= $1.00
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