You have decided that you want to be a millionaire when you

You have decided that you want to be a millionaire when you retire in 45 years. If you can earn an annual return of 11.2 percent, how much do you have to invest today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Investment $ What if you can earn an annual return of 5.6 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Investment $

Solution

We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.

1.

1,000,000=P(1+11.2/100)^45

P=1,000,000/(1.112)^45

=$8419.47(Approx).

2.

1,000,000=P(1+5.6/100)^45

P=1,000,000/(1.056)^45

=$86123.90(Approx).