4.0k views
5 votes
You've deposited $5,000 into a Michigan Education Savings Program (a 529 college savings program) for your daughter who will be attending college in 15 years. In order for it to grow to $24,000 by the time she goes to college, what annual rate of return would you have to earn?

N= I/Y= PV= PMT= FV= P/Y=

User Shriakhilc
by
8.2k points

1 Answer

1 vote

Answer:

Ans. the annual rate of return, in order to turn $5,000 into $24,000 in 15 years is 11.02% annual.

Explanation:

Hi, well, in order to find the value of the interest rate of return, we need to solve for "r" the following equation,


Future Value=PresentValue(1+r)^(n)

Where:

n= years (time that the money was invested)

r=annual rate of return (Decimal)

So, let´s see the math of this.


24,000=5,000(1+r)^(15)


(24,000)/(5,000) =(1+r)^(15)


\sqrt[15]{(24,000)/(5,000) } =1+r


\sqrt[15]{(24,000)/(5,000) } -1=r


r=0.11023

So the annual rate of return that turns $5,000 into $24,000 in 15 years is 11.02%.

N=15; PV=5,000; FV=24,000; PMT=N.A; I/Y=11.02% P/Y=N.A

Best of Luck.

User Nghia Nguyen
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories