In: Finance
The nominal yield on 6-month T-bills is 4%, while default-free Japanese bonds that mature in 6 months have a nominal rate of 5%. In the spot exchange market, 1 yen equals $0.011. If interest rate parity holds, what is the 6-month forward exchange rate? Do not round intermediate calculations. Round your answer to five decimal places.
If Interest Rate Parity holds then,
F/S=(1+ia)T/(1+ib)T
Where F= Forward exchange rate
S= Spot exchange rate (i.e.$0.011/yen here)
ia= interest rate of $ (i.e. 4% or .04)
ib= interest rate of Yen (i.e. 5% or .05)
Therefore,
F/0.011 = (1+.04)1/2/(1+.05)1/2
F/0.011= 1.01980/1.02470
F/0.011= 0.99523
F = 0.99523*0.011
F = 0.01095
The 6 month forward exchange rate is $0.01095/yen.