If you put in $6000 now and let it grow, as opposed to $500 per month, then you have two outcomes. Using my trusty 12c I assumed these scenarios had an annual interest rate of 10 percent and were over a period of 40 years.
Invest incrementally.
Periods = 12*40 = 480
Interest = 10%/12 = 0.833%
PMT = (500)
PV = 0
FV = $3,162,079
Invest $6000 today (2-a) and invest 39 years at incremental levels (2-b).
2-a. Year 0 to 1
Periods = 1
Interest = 10%
PMT =
PV = (6000)
FV = $6,600
2-b. Year 1 to 40
Periods = 12*39 = 468
Interest = 10%/12 = 0.833%
PMT = (500)
PV = (6600)
FV = $3,177,549
Answer:
Scenario 1 results in a ending value of $3,162,079 and scenario 2 results in an ending balance of $3,177,549. A difference of approximately $15,380 in favor of scenario 2
I got some bigger differences when I accounted for just the accrued interest in the first year, not sure why right now. But bottom line is, if 15-30 thousand dollars is more valuable 40 years from now, then sure, why not?