Question

The Kellys are planning for a retirement home. They estimate they will need $200,000 4 years...

The Kellys are planning for a retirement home. They estimate they will need $200,000 4 years from now to purchase this home. Assuming an interest rate of 10%, what amount must be deposited at the end of each of 4 years to fund the home price? (Round to two decimal places.)

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Answer #1
Answer
Let suppose yearly amount to be deposited= K
YEAR Opening balance(O.B.) (a) Yearly amount Deposited (b) Interest 10%XO.B. (c) Closing Balance (a+b+c)
1 - K - K
2 K K 0.1 K 2.1K
3 2.1K K 0.21K 3.31K
4 3.31K K 0.33K 4.64K
Now,
4.64 K = $ 200,000
K = $ 200,000/4.64
=   $43,103.45
Since yearly amount of $ 43,103.45 should be deposited to get
$ 200,000 at end of 4 year with interest rate of 10 % yearly.
Please feel free to ask if anything about above solution in comment section of the question.
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