Continuous Compound Interest Calculator
Continuous Compound Interest Calculator
Year Month
($)
(%)
Investment Performance Summary:
Final Portfolio Value
Total Investment Gains
Initial Investment
Total Regular Contributions
Effective Annual Rate (Continuous)
Gains from Initial Investment
Gains from Regular Contributions
Compound Annual Growth Rate (CAGR)
Portfolio Growth Analysis
Investment Growth Visualization
Interactive chart displaying your portfolio's growth trajectory, showing the impact of regular contributions and compound returns over your investment timeline.
Continuous Compound Interest Formula and Mathematics
Primary Formula
The continuous compound interest formula is:
A = Pe^(rt)
Where:
- A = Final amount
- P = Initial principal investment
- e = Mathematical constant (≈ 2.71828)
- r = Annual interest rate (as decimal)
- t = Time period in years
Investment Growth Examples
Example 1: Initial Investment Only
Investment: $10,000 at 7% annual return for 10 years
Calculation: A = $10,000 × e^(0.07 × 10) = $20,138
Total Growth: $10,138 (101% return)
Example 2: With Monthly Contributions
Initial: $5,000, Monthly: $500, Rate: 6%, Time: 20 years
Projected Value: Approximately $248,032.73
Total Contributions: $120,000
Investment Gains: $123,032.73
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