Milestones in order. This is history, not a weekly activity grid.
- Early interest tablets
- Fibonacci’s Liber Abaci
- Pacioli & double entry
- Annuities & mortality
- Modern TVM teaching
- Index funds arrive
- Target-date defaults
- Apps & FIRE discourse
Darker cells mean a higher score for this topic on that metric.
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Quick answers
What is present bias in one sentence?
Present bias is the overweighting of immediate rewards that starves future contributions — a behavioural tax on every compounding plan.
Is this financial advice?
No. Tool-Lifes pages are educational atlases. Decisions need your goals, constraints and, when appropriate, a licensed adviser.
Do I need a high return for compounding to matter?
Higher net rates help, but time and contributions often dominate — especially early. Costs and behaviour can erase a “good” rate.
How should I use the calculator?
Treat outputs as scenario sketches. Vary contribution, rate, fees and inflation to see which lever moves your goal date.
What about inflation?
Always ask whether a figure is nominal or real. A high nominal path can still lose purchasing power.
Are past returns a promise?
No. Illustrations use round teaching numbers. Markets, inflation and taxes change.
Compounding is older than modern markets: merchants, temples and states all needed language for interest over time.
What changed in the last century is access — index funds, payroll deduction and phone apps put long clocks in ordinary hands.
Timeline
- Early interest tablets
Mesopotamian records show organised interest on loans of grain and silver.
- Fibonacci’s Liber Abaci
Popularises Hindu–Arabic numerals and commercial arithmetic in Europe.
- Pacioli & double entry
Accounting tools make multi-period capital clearer to track.
- Annuities & mortality
States and tontines price long cash-flow streams.
- Modern TVM teaching
Engineering economy and corporate finance normalise NPV language.
- Index funds arrive
Broad market exposure at low cost becomes retail-possible.
- Target-date defaults
Workplace plans industrialise glide paths and auto-enrolment.
- Apps & FIRE discourse
Round-ups, robo-advisors and independence maths go mainstream online.
Eras
- Pre-modern — Interest as contract — Religious and legal debates constrained rates; compounding still appeared in commerce.
- Industrial — Capital budgeting — Firms discount projects; households still mostly used simple savings products.
- Late 20th c. — Retail markets — Mutual funds and then indexes bring market compounding to paycheques.
- Platform era — Defaults & dashboards — UX decides contribution behaviour as much as theory does.
Thinkers
- Merchants & early tables — Practical interest tables beat philosophy for daily trade.
- Irving Fisher — Linked nominal rates, real rates and inflation expectations.
- Bogle & index pioneers — Made low-cost market exposure a default compounding chassis.
- Behavioural researchers — Showed why average fund returns ≠ average investor returns.
The math aged slowly; the distribution channels — and the fee layers on top — changed fast.