If I make an investment that increases by 6% every year and I need $60000 after 12 years for my college, how much should I invest now?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

An amount equal to $60,000 is required after 12 years. The rate of return on an investment made now is 6% per annum. Use the formula `A = P*(1+r)^t` where P is the initial investment, r is the rate of return and A is the amount that P increases to after t years.

Here, r = 0.06, t = 12 and A = 60000. The value of P has to be determined.

`60000 = P*(1.06)^12`

=> `P = 60000/(1.06)^12`

=> P = 29818.16

The amount that should be invested now is $29818.16

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team