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Daily vs Monthly vs Annual Compounding: Which Grows More

A $10,000 deposit at 6% over 20 years grows to about $33,100 compounding annually, $33,200 monthly, and $33,220 daily. Daily compounding edges out annual by roughly $120, a small gap at 6% but wider at higher rates or longer terms. More frequent compounding always wins because interest starts earning interest sooner, though the marginal benefit shrinks as frequency rises. The difference matters most on large balances and high rates.
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Results

Visualization

UnitFig provides illustrative currency and finance estimates only. Exchange rates and transfer fees change constantly and are shown here as user-entered assumptions, not live quotes. This is not financial advice. Verify all rates with your provider before transacting.

How It Works

The future value with n compounding periods per year is Principal x (1 + r/n)^(n x t), where r is the annual rate and t is years. Annual uses n=1, monthly n=12, daily n=365. As n grows, (1 + r/n)^(n x t) approaches e^(r x t), the continuous-compounding limit, so daily already captures almost all the possible gain. The chart shows the three curves separating early and the gap stabilizing later. The marginal gain from monthly to daily is tiny because you are already near the continuous limit.

What Should You Do?

Don't chase daily compounding expecting a big edge; at normal rates it barely beats monthly. What moves the result far more is the rate itself and the time horizon. If a bank advertises daily compounding, read the rate, because a higher-rate monthly account usually beats a lower-rate daily one. For savings you control, prioritize the best APY and let compounding frequency be a tiebreaker. Long horizons magnify even small rate differences.

Frequently Asked Questions

Is daily always better than annual?

Yes, for the same nominal rate, but the gap is small at typical rates and shrinks as frequency rises past monthly.

What is continuous compounding?

The theoretical limit as periods approach infinity, Principal x e^(r x t). Daily compounding is already very close to it.

Does this include contributions?

No, it models a single starting deposit. Adding monthly deposits changes the picture but the frequency ranking holds.

Why does the rate matter more?

A 1% rate increase compounds across the whole balance for the whole term, dwarfing the frequency effect.

Are APY and rate the same?

APY already bakes in compounding frequency, so compare APYs directly rather than nominal rates with different frequencies.

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