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You deposit $2000 in a savings account and get $2200 a year later

Economics Aug 14, 2020

You deposit $2000 in a savings account and get $2200 a year later. Meanwhile, the consumer price index rises from 200 to 208. The nominal interest rate and the real interest rate are:

10 percent; 4 percent4 percent; 6 percent6 percent; 4 percent10 percent; 6 percent

Expert Solution

First we calculate Nominal Interest Rate:

Amount = Principal*(1+Rate)^Time

$2,200 = $2,000*(1+Rate)^1

$2,200 = $2,000 + 2,000 Rate

$2,200 - $2,000 = 2,000 Rate

$200/2,000 = Rate

Rate = 10%

So, Nominal Interest Rate is 10%.

 

Now, We calculate Inflation Rate:

Inflation Rate = (208-200)/200 = 4%

 

 

Computation Of Real Interest Rate:

Real Interest Rate = Nominal Interest Rate - Inflation Rate

= 10% - 4%

Real Interest Rate = 6%

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