The Median Income Advantage

The Median Income Advantage

Someone earning $45,000 who keeps 30% of it ends up with more money than someone earning $100,000 who keeps 15%. Not because the first person is smarter or more disciplined, and not because of some trick available only to modest incomes. Because the arithmetic does not have an income term in it. It has a gap term and a time term, and the moment you fix the gap at a percentage rather than an amount, the salary stops deciding the outcome.

That is the entire advantage, and it is worth being precise about what it does and does not claim.

The variable that actually decides

A savings rate is the share of take-home pay that never reaches your current account. Three people, twenty-five years, an 8% annual return on whatever gets invested:

The third column does the work. A household on $7,000 a month, keeping 11% of it, ends up behind a household on $2,750 keeping 31% — with $47,000 coming in over the twenty-five years against $825,000. Nothing about the second household's investment strategy is clever. It bought the same broad index fund, paid a similar fee, and did not touch it.

What a normal paycheck turns into

$300 a month is 11% of $2,750. It is not an aggressive savings rate. It is roughly what a household stops noticing after three months of automation.

By year thirty the contributions total $108,000 and the portfolio is around $447,000. The gap between those two numbers is $339,000 that nobody earned, saved or budgeted for. It is what happens when returns are left alone in the same account for three decades.

Read the chart as two stories. The first is compound growth, which is real and slow and eventually enormous. The second is the reason people quit: at year five the whole thing looks like a rounding error on a salary, and at year ten it looks like a decent used car. The interesting part only arrives after most people have already decided the strategy does not work.

Reading a chart like this is where most people make the decision to quit, and the decision is made on the wrong years.

The quiet 26%

Fees are the part of this that has no emotional defence, because nobody defends them. They are simply not looked at.

A fund charging 1.5% a year more than the cheap alternative takes about a quarter of the final balance. On the same contributions. Not over one dramatic year — steadily, invisibly, every year, on a balance that compounding was supposed to be growing. On a $332,000 portfolio the difference is $115,000, which is more than a decade of contributions. Checking the total expense ratio once, before the first payment, is the highest-paid five minutes in this entire article.

There is a counter-argument worth addressing: an advisor or an active fund that stops you selling in a crash can be worth 1.5%. That is true, and it is the only version of the argument that survives. It is also testable. If the last time markets fell you sold, you are paying for a service and should keep paying for it. If you did nothing, you are paying for a service you did not use.