Q50007 The rate of inflation in USA is likely to be 3% per annum

The rate of inflation in USA is likely to be 3% per annum and in India it is likely to be 6.5%. The current spot rate of US $ in India is Rs..43.40. Find the expected rate of US $ in India after one year and 3 years from now using purchasing power parity theory.

Solution

According to Purchasing Power Parity theory

F/S = 1 + iA / 1 + iB

Where        F       = Forward Rate

S       = Spot Rate

iA      = Rs.inflation Rate and

iB          = $ Inflation Rate

After 1 Year

F/42.40 = 1+0.065/1+0.03 therefore F = Rs. 44,8751

After 3 Years

F = 42.40 x 1.065/1.03 x 1.065/1.03 x 1.065/1.03 = Rs.47.9762

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