Daily Compounding Interest Explained
Understand how daily compounding affects savings accounts and loans — with calculations and real-world examples.
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Daily Compounding Interest Explained Daily compounding is the highest practical compounding frequency available in real financial products. Understanding exactly what it means — and how much it actually matters — helps you evaluate savings account claims and loan terms accurately. --- What is The Compounding Formula Reviewed? Where: A = final amount P = principal r = annual rate (decimal) n = compounding periods per year t = years The only variable that changes between compounding frequencies is n: | Compounding Frequency | n Value | |---|---| | Annual | 1 | | Semi-annual | 2 | | Quarterly | 4 | | Monthly | 12 | | Weekly | 52 | | Daily | 365 | | Continuous | ∞ (use e^rt) | This post is part of the Ultimate Guide to Financial Calculators. Use the free Compound Interest Calculator to…
Frequently Asked Questions
What is daily compounding interest?
Daily compounding means interest is calculated and added to the account balance every single day, rather than monthly, quarterly, or annually. The compounding formula uses n=365 (or 360 for some banks). Because interest is added daily, each subsequent day's interest calculation includes the previous day's earned interest — making the balance grow slightly faster than monthly or annual compounding at the same stated rate.
How does daily compounding compare to monthly?
The difference between daily and monthly compounding is real but small. At 8% annual rate on ₹1,00,000 for 1 year: monthly compounding yields ₹8,299.95 interest, daily compounding yields ₹8,327.74 — a difference of ₹27.79. Over 10 years, the gap grows to roughly ₹1,500 on the same starting principal. The difference matters most at very high balances or very long time horizons.
Which savings accounts compound daily?
In India, most savings accounts calculate interest daily but credit it monthly or quarterly. The Reserve Bank of India mandates that savings account interest be calculated on daily closing balance. High-yield FDs (fixed deposits) typically compound quarterly. Liquid mutual funds accrue NAV daily, which is functionally equivalent to daily compounding. In the US, many online savings accounts (like Marcus, Ally) compound and credit interest daily.
What is continuous compounding?
Continuous compounding is the theoretical limit of compounding frequency — interest accrues at every instant. The formula is A = P × e^(r×t), where e is Euler's number (~2.71828). At 8% continuous compounding, ₹1,00,000 grows to ₹1,08,329 in 1 year vs ₹1,08,328 for daily — virtually identical. Continuous compounding is used in advanced finance theory (options pricing, bond math) but no real account compounds continuously.
How does APR vs APY relate to compounding?
APR (Annual Percentage Rate) is the stated rate without compounding. APY (Annual Percentage Yield) is the effective rate after compounding is applied — always higher than APR for the same product. The relationship: APY = (1 + APR/n)^n − 1. Banks advertise APY on savings accounts (higher number looks better) and APR on loans (lower number looks better). Always compare financial products on APY, not APR.
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