Current Cost of Future Increasing Payments

What is the current cost of N years of payments that grow faster than inflation?

$2,300
15
3.0%
2.00%
Payment growth (g): 5.00%  ·  3.00% CPI + 2.00% extra
7.0%
24%
0.0%
Combined rate: 24.00%  ·  gross-up factor: 1.316×
$220k
Funds to Allocate Now
Year 1 Pre-tax Draw
—% of income
Final Year Pre-tax Draw
—% of income
Total Real Cost (today's $)
Pre-tax draw as % of annual income — year by year (income grows with CPI)
NPV across different portfolio return rates — highlighted = current selection

Growing annuity present value — PMT is the grossed-up first payment


PV = PMT × [1 − ((1+g)/(1+r))ⁿ] / (r − g)

where  g = inflation + extra growth,  r = portfolio return rate,  PMT = payment ÷ (1 − tax rate)