In: Finance
If nominal and inflation rates were 11% and 1.5%, respectively, what was the true real return? Please show equation and work.
Solution:
The true real rate of return can be calculated using the Fisher equation given below i.e.,
( 1 + Real Rate ) = ( 1 + Nominal Rate ) / ( 1 + Inflation rate )
As per the information given in the question we have
Nominal Rate = 11 % = 0.11
Inflation rate = 1.5 % = 0.015
Real Rate of Return= To find
Applying the above values in the formula we have
1 + Real Rate = ( 1 + 0.11 ) / ( 1 + 0.015 )
1 + Real rate = ( 1.11 ) / ( 1.015 )
1 + Real rate = 1.0936
Real Rate = 1.0936 – 1 = 0.936 = 9.36 %
Thus the true real return = 9.36 %