You can invest money each month at 6 percent interest compounded monthly over the next 30 years.
In 30 years, you will take all the money you invested and put it into an account earning 8 percent compounded monthly.
Then you will start taking out $2000 a month for the next 15 years until your account runs out of money.
How much do you need to invest each month over the next 30 years? (please show work)