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Tom put his savings into a certificate of deposit that paid a nominal interest rate of 5 percent a year. During the year, the CPI increased from 240 to 250. What was the real interest rate that Tom earned? Round your answer up to the second decimal. Tom earned a real interest rate of _____ percent a year. Round your answer up to the second decimal.

User Lauralee
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Answer:

Step-by-step explanation:

we will divide the consumer price index (CPI) to get the inflation rate

250/240 -1 = 0.041666666666 = 1/24 = 4.17% inflation rate

Then we use the fisher equation to solve for the real rate.

Some economist and accountant calculate the real interest rate by subtracting inflation by nominal:

nominal - inflation

5% - 4.17% = 0.83% or

0.05 - 0.041666 = 0.008333 = 0.83%

However the correct way is using the fisher equation


(1+nominal)/(1+inflation) &nbsp;-1 = $real rate[\tex]</p><p>solving using Fisher equation:</p><p>[tex](1+nominal)/(1+inflation) &nbsp;-1 = \\\\(1+0.05)/(1 + 1/24) -1 &nbsp;= &nbsp;0.008 = &nbsp;0.8%

User Amir Iqbal
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