In: Finance
Suppose that the Euro-denominated interest rate is 1.5%, the
dollar-
denominated interest rate is 1%, and the current exchange rate is
1.42 dollars per
Euro. What is the 6-month forward exchange rate in Vancouver (i.e.,
C$ per 1
Euros)? What is the 6-month forward exchange rate in Milan (i.e.,
Euros per 1
C$)? [Assume that interest rates are annualized and continuously
compounded.]
6-month forward exchange rate in Vancouver = spot exchange rate of C$ per 1 Euros * erdt / eret
where rd = dollar interest rate (this is 1%, or 0.01)
re = euro interest rate (this is 1.5%, or 0.015)
t = time in years (this is 6/12, or 0.5)
6-month forward exchange rate in Vancouver = 1.42 * e(0.1*0.5) / e(0.015*0.5)
6-month forward exchange rate in Vancouver = C$4.4165 per 1 Euro
6-month forward exchange rate in Milan = spot exchange rate of Euro per 1 C$ * eret / erdt
where rd = dollar interest rate (this is 1%, or 0.01)
re = euro interest rate (this is 1.5%, or 0.015)
t = time in years (this is 6/12, or 0.5)
spot exchange rate of Euro per 1 C$ = 1 / spot exchange rate of C$ per 1 Euros = 1 / 1.42 = 0.704225
6-month forward exchange rate in Milan = 0.704225 * e(0.015*0.5) / e(0.1*0.5)
6-month forward exchange rate in Milan = 0.7060 Euros per 1 C$