Company A is a US international company, and Company B is a Japanese local company. Company A
Question:
Company A is a US international company, and Company B is a Japanese local company. Company A is negotiating with Company B to sell its operation in Tokyo to Company B. The deal will be settled in Japanese yen. To avoid a loss at the time when the deal is closed due to a sudden devaluation of yen relative to dollar, Company A has decided to buy at-the-money dollar-denominated yen puts of the European type to hedge this risk.
You are given the following information:
(i) The deal will be closed 3 months from now.
(ii) The sale price of the Tokyo operation has been settled at 120 billion Japanese yen.
(iii) The continuously compounded risk-free interest rate in the United States is 3.5%.
(iv) The continuously compounded risk-free interest rate in Japan is 1.5%.
(v) The current exchange rate is 1 US dollar = 120 Japanese yen.
(vi) The daily volatility of the yen per dollar exchange rate is 0.261712%.
(vii) 1 year = 365 days; 3 months = 1/4 year.
Calculate Company A’s option cost.
(A) 7.32 million
(B) 7.42 million
(C) 7.52 million
(D) 7.62 million
(E) 7.72 million
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