Posted by **Kristie Howard** on Sunday, July 1, 2012 at 11:52pm.

How much must be set aside each month at 12% annual growth compounded monthly for 30 years in order to be able to retire on $4,500 per month for 15 years at 3% annual growth compounded monthly?

- math -
**Reiny**, Monday, July 2, 2012 at 8:40am
x(1.01^360 - 1)/.01 = 4500(1- 1.0025^-180)/.0025

x(3494.964133) = 651624.6215

x = 186.4467..

x = $186.45

check:

amount of 186.45 deposited monthly for 360 months at .01

= 186.45(1.01^360 - 1).01

= 651636.06

if I use 186.4476.. I get 651624.6214 , the fact that your deposit gets rounded off to the nearest penny explains the $11.40 discrepancy.

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