🏦 200-Year Experiment

Franklin's Will — The 200-Year Compound Interest Proof

In 1790, Franklin turned his death into a financial experiment. Here's the exact story, the full math, and what it proves.

📅 2026-05-09 ⏱ 8 min read ✍️ AlgoPotato Team

Benjamin Franklin died on April 17, 1790, at the age of 84. His will contained the usual bequests to family and friends — and then, almost as a footnote, one of the most remarkable financial experiments in recorded history.

The Exact Terms of the Bequest

Franklin left £1,000 each to the cities of Boston and Philadelphia. But the terms were unusual. The money was not to be spent immediately. Instead, it was to be loaned to young tradespeople (specifically married apprentices under 25) at 5% annual interest, with the interest reinvested — compounding continuously.

After 100 years (1890), each city could withdraw up to £100,000 for public works projects. The remainder had to continue compounding until 1990 — a full 200 years after Franklin's death.

I have considered that among artisans good apprentices are most likely to make good citizens... Hereby I have thought to give them an opportunity of sharing in the advantages arising from the compound interest of a small sum of money in a considerable course of time.

— Benjamin Franklin, Will, 1789

Franklin was explicit: this was a demonstration of compound interest. He wanted future generations to witness, in financial reality, what he had spent decades writing about theoretically. The will was his final lesson.

The Timeline: What Happened Over 200 Years

1790

The Bequest

Franklin dies. £1,000 each deposited with Boston and Philadelphia, with strict instructions. At period exchange rates, approximately $4,440 each in USD of the era.

1790–1890

First Century

Both cities loan the funds to young tradespeople at 5% interest. Administration was challenging — tracking individual loans, collecting repayments, and reinvesting at consistent rates proved difficult. Neither city achieved the theoretical 5% return consistently throughout the period.

1890

First Withdrawal

Both cities withdraw funds for public works. Boston's fund had grown to approximately $400,000; Philadelphia's to around $130,000. Boston used its withdrawal for vocational education; Philadelphia for public works.

1890–1990

Second Century

Boston invests more aggressively, including eventually in equities. Philadelphia maintains more conservative positions. The divergence in investment strategy produces dramatically different outcomes.

1990

Final Distribution

Boston's fund has grown to approximately $5 million. Philadelphia's to approximately $2.3 million. Combined total: ~$7.3 million from an original £2,000 bequest 200 years earlier.

The Math: What Should Have Happened

Franklin's projected 5% annual compound return produces these theoretical results:

YearTheoretical Value at 5%Boston ActualPhiladelphia Actual
1790£1,000£1,000£1,000
1890 (Year 100)£131,501~£100,000~£32,000
1990 (Year 200)£17.3M~$5M~$2.3M

Both cities fell significantly short of Franklin's theoretical projection — Boston more than Philadelphia in percentage terms, despite having a larger absolute outcome. The culprits: below-5% actual lending rates throughout much of the first century, administrative friction, and the loss of compounding during periods of dispute over the fund's management.

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The Rate Sensitivity: Why Boston Beat Philadelphia

The difference between Boston's ~$5M and Philadelphia's ~$2.3M — from the same starting amount, the same instructions, the same time period — comes down almost entirely to investment return rates in the second century. Boston's more aggressive equity investments in the later decades produced higher compounding rates that, over decades, created dramatically different outcomes.

This is the most important practical lesson of the experiment: small differences in annual return rate produce enormous differences in outcome over long periods. The math at different rates over 200 years:

Annual ReturnYear 50Year 100Year 150Year 200
3%£4,384£19,219£84,272£369,360
5%£11,467£131,501£1.5M£17.3M
7%£29,457£867,716£25.6M£752.9M
10%£117,391£13.8M£1.6B£190B

The difference between 5% and 7% over 200 years is a factor of 43x. The difference between 5% and 10% is a factor of 10,982x. This is why minimizing investment fees is so critical: a 1% annual fee drag doesn't reduce your returns by 1% — it reduces them by the compounded effect of that 1% over your entire investment horizon.

What It Means for You

You probably won't invest for 200 years. But the same mathematics apply over 30–40-year investment horizons. The core lessons from Franklin's experiment:

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Frequently Asked Questions

What was Franklin's will compound interest experiment?
Franklin's 1790 will left £1,000 each to Boston and Philadelphia, instructing them to loan the money at 5% interest and allow it to compound for 100–200 years. It was an explicit demonstration of compound interest, designed to prove his lifelong writing on the subject. Boston's fund grew to approximately $5M by 1990; Philadelphia's to $2.3M.
Did Franklin's compound interest experiment work?
Yes and no. Both cities achieved remarkable growth from tiny principal amounts — over 1,000x multiplication in real terms. But both fell short of Franklin's theoretical 5% projection due to administrative challenges, conservative investing, and periods of mismanagement. The qualitative conclusion — that small amounts compound into large ones over long periods — was thoroughly proven.
What did the cities do with the money?
Boston used its 1890 withdrawal for vocational education and eventually used the final 1990 distribution to establish the Benjamin Franklin Cummings Institute of Technology. Philadelphia used its funds for scholarships and grants supporting tradespeople, in line with Franklin's original intent of helping young artisans.
Why did Boston end up with more than Philadelphia?
Boston's fund administrators invested more aggressively in the second century, eventually including equity investments that produced higher returns. Philadelphia maintained more conservative positions. The compounding effect of a higher return rate, sustained over decades, produced dramatically different outcomes despite identical starting conditions.

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