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Consider a dividend paying stock currently traded at $22. A European call option on the stock with a strike of $25 that matures in 1

Consider a dividend paying stock currently traded at $22. A European call option on the stock with a strike of $25 that matures in 1 year is priced at $7. A European put on the same stock with a strike of $25 that matures in 1 year is priced at $3. Assume that a dividend with a present value of $4 is to be paid in 6 months time. The risk-free rate is 8% p.a. continuously compounded with a flat term structure.

To 2 decimal places, which of the following statements is true? An arbitrageur will

  1. Buy the stock and put, and sell the call and bonds. The profit at maturity is $9.08.
  2. Buy the stock and put, and sell the call and bonds. The profit at maturity is $5.08.
  3. Buy the stock and put, and sell the call and bonds. The profit at maturity is $9.83.
  4. Sell the stock and put, and buy the call and bonds. The profit at maturity is $5.50.
  5. None of these answers.

Group of answer choices

D

A

B

C

E

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