SOLUTION: Suppose you invest $120 a month for 6 years into an account earning 8% compounded monthly. After 6 years, you leave the money, without making additional deposits, in the account fo

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Question 1166134: Suppose you invest $120 a month for 6 years into an account earning 8% compounded monthly. After 6 years, you leave the money, without making additional deposits, in the account for another 20 years. How much will you have in the end?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Suppose you invest $120 a month for 6 years into an account earning 8% compounded monthly.
After 6 years, you leave the money, without making additional deposits, in the account for another 20 years.
How much will you have in the end?
~~~~~~~~~~~~~~~~~~~~~~~~~

For the first 6 years, it works as an ordinary annuity, and creates Future value of

    FV =  = 11043.04  (rounded to the closest cent).



In the next 20 years, it works as an one-time deposit of 11043.04 compounded monthly at 8%.



Working this way, it produces the Future value / (final) amount of

     = 54406.88.


ANSWER.  The final value is $54406.88.

Solved.



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