Compound Interest The 8th Wonder
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Lessons that use this board
- Why a Coin Today Beats a Coin Next Year - present value and discountinglesson
- The Bet on the Whole Haystack - index funds, active managers, and costslesson
- Compound Interest, the 8th Wonderlesson
COMPOUND INTEREST — THE 8TH WONDER (OR YOUR WORST ENEMY)
"He who understands it, earns it. He who doesn't, pays it."
THE ENGINE
Money makes money.
That new money ALSO makes money.
your $$$
interest
...added back in -> bigger base -> bigger interest
THE HOCKEY STICK ($10k at 8%)
$
yrs
10yr
~$22k
20yr ~$47k
40yr
~$217k
you only put in $10k...
the other $207k is what 40 years of waiting paid.
RULE OF 72 (mental math)
72 / rate = years to DOUBLE
8% -> 72/8 = 9 yrs to 2x
12% -> 72/12 = 6 yrs to 2x
3% -> 72/3 = 24 yrs (savings acct = slow)
THE EARLY-BIRD SHOCK
ANITA saves $2k/yr from age 25-35, then STOPS. (put in $20k)
BOB saves $2k/yr from age 35-65, never stops. (put in $60k)
At 65: ANITA ~ $315k > BOB ~ $245k
She saved 1/3 as much — and won. A 10-yr head start beats saving MORE.
THE DARK SIDE — it runs in REVERSE
Credit-card debt compounds AGAINST you at ~22%.
22% APR, compounded monthly = 24.4% real -> debt DOUBLES in 3.2 yrs
Pay the minimum and the same math that builds
millionaires quietly buries you.
Same engine. Whose side it's on = who owns the money.
THE ONE MOVE
TIME > amount. Start at 25, not 35.
The first decade looks flat — it isn't. Every decade
multiplies by the same 2.16x; only the axis lies.
...the last decade does almost everything (the blast).
Most people quit before the curve pays off. Don't.
JARGON, DECODED
Principal = the money you put in. Interest = what it earns. COMPOUND = interest earns interest too.
Simple interest = only the principal earns (a straight line). Compound = the curve (a hockey stick).
Rule of 72 = quick doubling-time = 72 / annual-% . Works for growth AND debt.
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