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18) The price of a 6-month yen-denominated put option on the euro with an exercise price of 100 yen is 8
18) The price of a 6-month yen-denominated put option on the euro with an exercise price of 100 yen is 8.763 Yen. The current exchange rate 100 Yen/euro. Is the premium on a similar (maturity, strike) euro-denominated yen call above 8.763 yen, equal to it, or below it? Explain your answer.
Expert Solution
A put to sell Euro for yen is equivalent to a call to purchase Yen with euros.
To buy 1 Yesn, the corresponding exchange rate would be 1/100 = Euro 0.01 / Yen
So the euro-denominated strike price is 1/100 = Euro 0.01 / yen.
As we are in effect buying 0.01 of the euro-denominated call option, the premium in Yen = Yen premium of put option x 0.01 = 8.763 x 0.01 = Yen 0.08763
Hence, the correct answer is: the premium will be below 8.763 Yen
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