SOLUTION: Lily put $49,000 in an education account on the day her daughter was born. If the account earned 6.45% interest compounded monthly, what was the total in the account when her daugh

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Question 1121129: Lily put $49,000 in an education account on the day her daughter was born. If the account earned 6.45% interest compounded monthly, what was the total in the account when her daughter turned 18?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
use the following online financial calculator to get future value = 155,977.42.

inputs are:

present value = -49000
future value = 0
number of periods equals 18 years * 12 months per year = 216 months.
payment amount = 0
interest rate = 6.45% per year / 12 = .5375% per month
payment at beginning or end of each time period not applicable (leave as is).

click on FV and the calculator tells you what the future value is.

here's the results of using the calculator on this problem.

$$$

with these calculators, money going out is shown as negative and money coming in is shown as positive.

that's why present value is negative.
it's money that you gave to the financial institution to invest for you.

that's why future value is positive.
it's money the financial institution give to you at the end of the investment period.

interest rate are entered as percent.

with monthly compounding, the annual interest rate is divided by 12 to get the monthly interest rate and the number of years is multiplied by 12 to get the number of months.

payments at end or beginning of time period is only used for monthly payment analysis.

if the payment amount is equal to 0, or the PMT button is not selected for analysis, then monthly payments doesn't apply.