Continuous Compounding Calculator

💰 How This Calculator Works

Models investment growth with continuous compounding (the theoretical limit of compounding frequency) using Euler's number e.

🔢 Worked Examples

• $10,000 at 5% continuous for 10yr = $16,487 (vs $16,470 for daily)
• $50k at 7% for 20yr continuously = $200,171

📋 Common Use Cases

Interest calculators cover compound interest, simple interest, and time-value-of-money concepts. Understanding the difference between nominal and effective rates — and how compounding frequency affects returns — can mean thousands of dollars difference over a savings or investment horizon.

• Comparing savings account yields by compounding frequency
• Computing the true annual rate from a monthly-quoted rate
• Projecting investment growth under different return assumptions
• Understanding the "Rule of 72" for doubling time

💡 Did You Know?

Daily compounding at 5% annual grows money to 5.127% effective rate. Compounding matters more the longer you invest — the difference between annual and daily compounding on a 30-year $10,000 investment is over $1,500.

⚠️ Common Mistake

Expecting dramatically different results from daily — the gap between daily and continuous compounding is tiny (fractions of a percent). The real differences come from annual vs monthly compounding.