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.)
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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