Realistic Paths to a Windfall, Ranked by How They Actually Work

A lottery ticket is a bid for a discontinuity — an amount of money large enough to change your circumstances in kind rather than degree. That is a coherent thing to want, and the standard advice ("just save more") mostly fails to engage with it, which is why it does not land.

So: what else produces a discontinuity, and what does each one actually run on? Four routes, each with its own equation and its own way of not working.

1. Career capital — the highest-probability route, and the slowest

The mechanism is not "earn more". It is the gap between what you earn and what you spend, compounded, and the gap is the term that moves.

Take an ordinary case. Income rises from $60,000 to $110,000 over a career; savings rate goes from 5% to 20%. Call the average contribution $10,000 a year for 30 years at an assumed 7%:

FV = 10,000 × ((1.07^30 − 1) ÷ 0.07) = 10,000 × 94.46 = $944,608

Contributions: $300,000. Growth: $644,608. Same ordinary-annuity formula as everywhere else on this site.

What makes it work: it is the only route with a high probability of success. Nothing has to go right; you simply have to keep doing it.

How it fails: slowly, and in three ways. Lifestyle inflation eats the gap so the contribution never rises. A career interruption removes years, and years enter as an exponent. And the endpoint arrives at 60, not 35 — this route produces security, not a discontinuity. If what you want is to change your life now, this is not the mechanism, and pretending otherwise is why the advice gets ignored.

2. Business equity — the only route with genuine convexity

This is the closest legitimate analogue to a lottery ticket, and understanding why is the useful part.

Wages are linear: you sell hours, and doubling your output roughly doubles your pay. Equity is convex: you own a claim on a stream of profits, and that claim is priced as a multiple of the stream. The multiple is the leverage.

A business earning $200,000 a year in owner profit, sold at a 3× multiple, is a $600,000 event. Grow the same business to $500,000 of profit and the multiple typically expands too — larger, more systematised businesses sell at higher multiples because they carry less key-person risk. At 4×, that is $2,000,000. The profit went up 2.5×; the exit went up 3.3×. That is convexity, and it is why equity, not salary, is behind most self-made wealth.

What makes it work: the payoff is not capped by hours, and unlike a lottery ticket the probability is meaningfully influenced by your own effort.

How it fails: most businesses do not reach a saleable size, the failure rate is high and front-loaded, and the founder frequently ends up owning a job rather than an asset — a business that cannot run without you sells at a much lower multiple, or not at all. It also consumes years of income and often savings on the way. The expected value is positive for skilled operators in the right market; it is not positive by default.

3. Investing — reliable multiplication, unreliable timing

Investing does not create a windfall. It multiplies one you already have, and the multiplier is time.

The reference series is Damodaran's NYU Stern dataset: $100 in the S&P 500 with dividends reinvested in 1928 became $1,157,598.95 by the end of 2025, a geometric mean of 10.02% a year, nominal over 98 years.

At an assumed 7%, money doubles every 10.2 years (ln 2 ÷ ln 1.07). So $100,000 becomes roughly $200,000 in ten years, $400,000 in twenty, $800,000 in thirty. That is a discontinuity if — and only if — you already had the $100,000, which puts this route downstream of routes 1 and 2 rather than parallel to them.

How it fails: it does not fail so much as disappoint on timing. Drawdowns are real and large (the same dataset records −64.8% cumulative across 1929 to 1932 and −37.4% across 2000 to 2002), and the sequence you happen to get is not under your control. Leverage, concentration and trading are the standard attempts to speed it up and are also the standard ways of turning route 3 into route 4's opposite. The full distribution is in index funds vs the lottery.

4. Inheritance — the largest transfers, and the ones you least control

Bluntly: inheritance moves more money between people than any other mechanism on this list, and almost none of it is decision-driven. You cannot plan to receive one, the timing is unknowable, and the amount is frequently smaller than expected once care costs and property are settled.

What is actionable is the other side of it. If you expect to leave money rather than receive it, the arithmetic in route 1 is the arithmetic of the estate, and the difference between an unstructured and a structured transfer is often large. That is a professional advice question and this is not a professional advice site, so we will leave it there rather than say something unsourced.

Ranking them honestly

The comparison the lottery deserves

None of this is an argument that people who buy tickets are making an error of reasoning. Most ticket buyers know the odds are terrible. What they are buying is the only product on the market that offers a discontinuity available this Saturday — and routes 1 to 3 above genuinely do not offer that, which is a real limitation of the alternatives and not a rhetorical one.

The reasonable conclusion is therefore not "stop buying tickets". It is: the ticket is entertainment, and the windfall, if it comes, comes from route 1, 2 or 3. Budget the first as entertainment (setting a lottery budget) and run the second deliberately.

It is also worth knowing what the discontinuity actually delivers when it arrives. The evidence on lottery winners is more nuanced than either the cautionary tales or the fantasies: see the 70% broke myth, the Florida bankruptcy study, does winning make you happier and do winners quit their jobs. And if you want to know how large the sum has to be to replace an income permanently, that arithmetic is in how much capital generates a lottery-winner income.