SOLUTION: If I open an annuity with monthly deposits of $250, and a guaranteed return of 3.5%. What is the total amount after 30 years. In order to accumulate the same amount with same rat

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Question 993991: If I open an annuity with monthly deposits of $250, and a guaranteed return of 3.5%. What is the total amount after 30 years. In order to accumulate the same amount with same rate and time, how much will I need to deposit in one lump sum?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
total amount after 30 years is 158,853.30.

you would have to invest 55,673.72 today to have that amount of money after 30 years.

here's a calculator that will find those values for you.

the amount of money you would get after 30 years is the future value.

the amount of money you would have to invest today is the present value.

http://www.arachnoid.com/lutusp/finance.html

these are the inputs you require to get the present value of the payments.

Future Value = 0
Number of Payments = 30 * 12 = 360
Payment Amount = -250
Interest Rate per period = 3.5 / 12 = .291667
Payment at End of Month
Click on PV and you'll get the present value.

this is what it looks like after you're done.

these are the inputs you require to get the future value of the payments.

Present Value = 0
Number of Payments = 30 * 12 = 360
Payment Amount = -250
Interest Rate per period = 3.5 / 12 = .291667
Payment at End of Month
Click on FV and you'll get the future value.

this is what it looks like after you're done.

these are the inputs you require to get the future value of the present value.

Present Value = -55673.72
Number of Payments = 30 * 12 = 360
Payment Amount = 0
Interest Rate per period = 3.5 / 12 = .291667
Payment at End of Month (doesn't matter for this calculation)
Click on FV and you'll get the future value.

this is what it looks like after you're done.