Stock XYZ has the following characteristics: The current price is 40. The price of a
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Stock XYZ has the following characteristics:
• The current price is 40.
• The price of a 35-strike 1-year European call option is 9.12.
• The price of a 40-strike 1-year European call option is 6.22.
• The price of a 45-strike 1-year European call option is 4.08.
The annual effective risk-free interest rate is 8%.
Let S be the price of the stock one year from now.
All call positions being compared are long.
Determine the range for S such that the 45-strike call produces a higher profit than the 40-strike call, but a lower profit than the 35-strike call.
(A) S < 38:13
(B) 38.13 < S < 40.44
(C) 40.44 < S < 42.31
(D) S > 42:31
(E) The range is empty
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