Daily vs Monthly vs Annual Compounding: Which Grows More
Results
Visualization
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.