Interest Rates-real risk free rates

whit10

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Mar 28, 2009
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The question is:

The real risk free rate is 3%. Inflation is expected to be 4% this coming year, jump to 5% next year, and increase to 6% the year after. According to the expectations theory, what should be the interest rate on a 3-year, risk free securities today?

I added up the inflation rates and divided by 3: (.04+.05+.06)/3=5%. The answer should be 8%, I am really confused on how to get that. Any help is appreciated!
 
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