View Full Version : Time Value of Money
Daisy2
Feb 17, 2007, 08:36 PM
How do I work this problem? Any help would be appreciated!
Henson Company wishes to accumulate $500,000 by May 1, 2012 by making 8 equal annual deposits beginning May 1, 2004 to fund paying 8% interest compounded annually. What is the required amount of each deposit?
a) $87,008
b) $47,007
c) $43,525
d) $50,390
KongTheKonqueror
Feb 17, 2007, 10:33 PM
B) $47,007
dmatos
Feb 18, 2007, 10:19 AM
This site is more useful if you help someone to determine the correct answer, rather than just providing it. Daisy, you should be able to find in your economics book some equations for determining the final value after N years of annual deposits of X dollars at I interest rate. If not, 8 years is short enough that you can work it out manually:
First year's value at the end of the term:
X*(1+I)^8
Second year's value at the end of the term:
X*(1+I)^7
and so on. You know I, and you know what the sum of all of them should be.
X*[(1+I)^8+(1+I)^7+.. . (1+I)^1] = 500,000
Solve for X
KongTheKonqueror
Feb 18, 2007, 03:42 PM
There isn't a whole lot to explain. Just enter the figures into a TVM calculator and it will spit out the answer. Periods=8, Future Value=500,000, Present Value=0, Interest=%8, calculate for payment.