Answer:
We can use the present value of an annuity formula to determine the annual distribution. I'm assuming that your distributions will be made in a similar manner to an annuity due (the first payment happens when you retire).
annual distribution = principal balance / PV annuity factor
- principal balance = $2,000,000
- PV factor annuity due, 8%, 15 periods = 9.24424
annual distribution = $2,000,000 / 9.24424 = $216,350.94
if instead, the first distribution is received at the end of the first year of retirement, then the annual distribution will be:
annual distribution = principal balance / PV annuity factor
- principal balance = $2,000,000
- PV factor ordinary annuity, 8%, 15 periods = 8.55948
annual distribution = $2,000,000 / 8.55948 = $233,659.05