Question

You deposit $2,000 in a savings account and a year later you have $2,100. Meanwhile, the consumer price index rises from 200 to 204. In this case, the nominal interest rate is _____ percent and the real interest rate is _____ percent.

Answer 1

Answer:

nominal interest rate = 5%

real interest rate = 3%

Explanation:

given data

deposit previous = $2,000

deposit present = $2,100

CPI consumer price index rises =  200 to 204

to find out

nominal interest rate and real interest rate

solution

we get here first nominal interest rate that is express as

nominal interest rate = ( deposit present - deposit previous ) ÷ deposit previous × 100    ..........................1

put here value we get

nominal interest rate = $\frac{2100-2000}{2000}$  × 100

nominal interest rate = 5%

and

now we get here inflation rate that is

inflation rate = ( CPI present - CPI previous ) ÷ CPI previous  × 100    .............2

inflation rate = $\frac{204-200}{200}$  × 100

inflation rate = 2%

and

real interest rate will be as

real interest rate = nominal interest rate - inflation rate    .................3

real interest rate = 5% - 2%

real interest rate = 3%