An American Hedge Fund is considering a one-year investment in an Italian government bond with a one-year maturity and a euro-denominated rate of return of i€ = 5%.The bond costs €1,000 today and will return €1,050 at the end of one year without risk.The current exchange rate is €1.00 = $1.50.U.S.dollar-denominated government bonds currently have a yield to maturity of 4 percent.Suppose that the European Central Bank is considering either tightening or loosening its monetary policy.It is widely believed that in one year there are only two possibilities:
S1 ($/€)= €1.80 per €
S1 ($/€)= €1.40 per €
Following revaluation,the exchange rate is expected to remain steady for at least another year.
Your banker quotes the euro-zone risk-free rate at i€ = 5% and the U.S.risk free rate at i$ = 4%.Find the value of the option and thereby the correct value of the bond to a U.S.investor.
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