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In: Finance

Your brother has offered to give you $ 165​, starting next​ year, and after that growing...

Your brother has offered to give you $ 165​, starting next​ year, and after that growing at 2.8 % per year for the next 20 years. You would like to calculate the value of this offer by calculating how much money you would need to deposit in a local bank so that the amount will generate the same cash flows as he is offering you. Your local bank will guarantee a 6.4 % annual interest rate so long as you have money in the account.

a. How much money will you need to deposit into the account​ today?

b. Assuming you deposited the amount of money in part ​(a​), and then withdrew the required payments each​ year, calculate the remaining balance at the end of years​ 1, 2, 10 and 19.​ (Hint: To solve this problem it is best to use an excel​ spreadsheet.)  

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