Compounding · 5 min read
The Rule of 72: How Long to Double Your Money at Any Rate
The Rule of 72 is the most useful mental math shortcut in personal finance. Divide 72 by your return rate and you know exactly how long to double your money.
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1.The rule and why it works
At an interest rate of R%, your money doubles in approximately 72/R years. Examples: at 6% (PPF rate): doubles in 12 years. At 8% (EPF rate): doubles in 9 years. At 12% (equity CAGR): doubles in 6 years. At 24% (credit card interest): your debt doubles in 3 years. The rule is a mathematical approximation of the exact formula (time = ln(2) / ln(1+r)) but accurate within 2-3% for rates between 2-15%. Einstein reportedly called compound interest the "eighth wonder of the world" — the Rule of 72 is how you calculate that wonder instantly.
2.Using the Rule of 72 to compare investment options instantly
In a meeting or conversation, you can instantly evaluate any investment claim: someone offers you a real estate deal promising 15% annual returns — your money doubles in 4.8 years, meaning ₹10 lakh becomes ₹20 lakh in 4.8 years and ₹40 lakh in 9.6 years. A bank FD at 7.5% doubles in 9.6 years. The equity market at 12% doubles in 6 years. This instant comparison without a calculator is why the Rule of 72 is used by every professional investor for quick sanity checks on return claims.
3.The Rule of 72 for debt: the number that should terrify you
Apply the rule to credit card debt at 36-42% annual interest (the standard rate in India). At 36%: your debt doubles in exactly 2 years. ₹50,000 of credit card debt left unpaid becomes ₹1 lakh in 2 years, ₹2 lakh in 4 years, ₹4 lakh in 6 years. This is why minimum payment traps are so devastating — the interest compounds faster than minimum payments reduce the principal. Personal loans at 18% double in 4 years. Even a "friendly" loan at 12% doubles in 6 years. The Rule of 72 makes debt costs viscerally clear.
4.The inflation Rule of 72: your purchasing power halves faster than you think
Apply the rule to India's average inflation of 6%: purchasing power halves in 12 years. This means ₹1 lakh today buys the same as ₹50,000 did in 2014, and the same as ₹25,000 will in 2038. If your savings earn less than 6% (which FDs barely do post-tax), you are getting poorer in real terms. The Rule of 72 makes the inflation argument for equity investment immediately tangible: at 12% equity return, your real (inflation-adjusted) return is 6%, and your real purchasing power doubles every 12 years.
5.Rule of 72 variations: the Rule of 114 and Rule of 144
The Rule of 72 tells you when money doubles. There are two lesser-known variants: Rule of 114 — divide 114 by the rate to find how long to triple your money. At 12%, money triples in 9.5 years. Rule of 144 — divide 144 by the rate to find when money quadruples. At 12%, money quadruples in 12 years. Combined insight: at 12% equity CAGR, your money doubles every 6 years, triples in 9.5, and quadruples in 12. A ₹10 lakh investment at 25 doubles to ₹20L at 31, ₹40L at 37, ₹80L at 43, and ₹1.6 crore at 49 — without adding a single rupee.