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Old 1 Sep 2009, 11:16 PM   #1 (permalink)
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Interest and inflation

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How can a loan of $100 with interest of 2% and inflation of 5% have a real repay of $97.14. Where did the .14 come from?

Diagram attached if it makes it clearer
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Old 5 Sep 2009, 9:03 PM   #2 (permalink)
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Re: Interest and inflation

Quote:
Originally Posted by sandersen View Post
How can a loan of $100 with interest of 2% and inflation of 5% have a real repay of $97.14. Where did the .14 come from?

Diagram attached if it makes it clearer
(1 + real interest rate) x (1 + inflation rate) = (1 + nominal interest rate)
=> (1 + real interest rate) = (1 + nominal interest rate) / (1 + inflation rate)
1 + real interest rate = 1.02/1.05
"real interest rate" = - 0.02857....
So $100 investment gives a real repayment of:
100 x (1 + - 0.02857) = $97.14
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