The short answer
On $10,000 at 5% for 5 years, simple interest earns exactly $2,500 — always principal × rate × time, nothing more. Compound interest (monthly) earns $2,833.59 over the same stretch, $333.59 more, because each month's interest gets added to the balance before the next month's interest is calculated.
Key takeaways
- $10,000 at 5% for 5 years: simple interest = $2,500.00 exactly; compound interest (monthly) = $2,833.59.
- The compounding advantage here is $333.59 — small relative to the principal, but it grows faster than linearly as time or rate increases.
- A 5% nominal rate compounded monthly has an effective annual rate of 5.116%, not 5% — compounding itself adds a small amount beyond the stated rate.
- Simple interest never changes based on compounding frequency; compound interest grows faster the more often it's applied (daily > monthly > annually).
Simple interest: a flat, predictable formula
Interest = Principal × Rate × Time
= $10,000 × 0.05 × 5 = $2,500.00
Simple interest grows in a straight line — the same $500 gets added every single year, regardless of how much the balance has grown. That predictability is exactly why it's used for many short-term loans and some bonds: the payoff amount at any point in time is trivial to calculate in advance.
Compound interest: earning interest on interest
Final Amount = Principal × (1 + rate ÷ n)^(n × years)
= $10,000 × (1 + 0.05 ÷ 12)^(12 × 5) = $12,833.59
Unlike simple interest, compound interest curves upward — each period's interest becomes part of the balance that earns interest in the next period. The $333.59 gap over simple interest is modest at 5 years and 5%, but stretch either the rate or the time horizon and that gap widens fast, since it compounds on itself rather than growing linearly.
Related calculators
- Compound Interest Calculator — add periodic contributions on top of compound growth.
- CD Calculator — apply this same compounding math to a real certificate of deposit.
- Savings Calculator — model a savings account with regular deposits alongside compound interest.