In: Finance
Suppose that U.S. inflation is 3%; inflation in British pounds is 6% and the spot exchange rate is £1 = $2.
What is your estimate of the exchange rate expected to prevail in 3 years?
F / S = (1 + Inflation Rate in Home Country)^No of Years / (1 + Inflation Rate in Foreign Country)^No of Years | ||||||||||
Where, | ||||||||||
Home Country = U.S.A | ||||||||||
Foreign Country = U.K. | ||||||||||
F = Forward Rate | ||||||||||
S = Spot Rate = (£1 = $2) | ||||||||||
Inflation Rate in Home Country = 3% = 0.03 | ||||||||||
Inflation Rate in Foreign Country = 6% = 0.06 | ||||||||||
No of Years = 3 | ||||||||||
Therefore, | ||||||||||
F / S = (1 + Inflation Rate in Home Country)^No of Years / (1 + Inflation Rate in Foreign Country)^No of Years | ||||||||||
F / $2 = (1+0.03)³ / (1+0.06)³ | ||||||||||
F = (1.092727 / 1.191016) * $2 | ||||||||||
F = 1.83 | ||||||||||
So, Exchange Rate in 3 Years will be £1 = $1.83 | ||||||||||