Today is t = 0. Bond A is a 7-year 0-coupon bond that costs $800 at t = 0. While the bond is priced in dollars, the face value is paid back in Euros. Specifically, the face value is 1,000 Euros. fE7,5 = 4% (Euro forward interest rate) f7,5 = 5% (Dollar forward interest rate) Contract X: for every 10 Euros you give the bank at t = 12 they give you back 1,500 Yen at t = 20 or for every 10 Euros you borrow at t = 12 you have to pay back 1,500 Yen at t = 20 Contract Y: for every $2 you give the bank at t = 0 they give you back Z Yen at t = 20 or for every $2 you borrow at t = 0 you have to pay back Z Yen at t = 20) Note: for a given currency, a forward interest rate in that currency allows you to lock in a lending or borrowing rate for that currency for a certain period of time. Assuming there is no arbitrage, what is the value of Z? Select the answer below that is closest to the correct value.

A)114

B) 120

C) 228

D) 239

E) 456

F )478