You are managing an investment portfolio and sell an “inflation protected” annuity that pays $3,448 per month (in real terms) for 9 years, starting next month. You forecast that inflation will be 0.33% per month over the 9 years. If you earn 3.54% APR (monthly compounding) nominal terms on your investments, how much do you need to invest today to fully fund the annuity?

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 34P
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You are managing an investment portfolio and sell an “inflation protected” annuity that pays $3,448 per month (in real terms) for 9 years, starting next month. You forecast that inflation will be 0.33% per month over the 9 years.

If you earn 3.54% APR (monthly compounding) nominal terms on your investments, how much do you need to invest today to fully fund the annuity?

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