Compound-Growth Illustration
Explore how a starting amount and equal contributions change under a constant hypothetical growth rate.
Illustrated ending balance
USD 3967.08
- Starting amount
- USD 1000.00
- Added contributions
- USD 2400.00
- Total contributed
- USD 3400.00
- Illustrated growth
- USD 567.08
How this calculation works
How do repeated contributions and a constant growth rate change a starting pot?
Formula in plain language
- Let r = growth percentage ÷ 100 and C = contribution per period.
- End-of-period contributions: next balance = current balance × (1 + r) + C.
- Start-of-period contributions: next balance = (current balance + C) × (1 + r).
- Total contributed = starting amount + C × periods; illustrated growth = ending balance − total contributed.
What the terms mean
- Per-period rate
- The rate belongs to each selected interval. A monthly rate is not an annual rate, and no calendar frequency or annual-rate conversion is applied here.
- Contribution timing
- Start contributions receive that period's modeled growth; end contributions do not. Enter a whole number of periods.
- Explicit zero
- Zero growth is valid: only contributions change the pot. This model accepts non-negative growth, not a sequence of fluctuating or negative returns.
Worked example
This is a fixed teaching example, separate from your current inputs.
Choose USD, starting amount 100, contribution 10, periods 2, growth 10% per period and End of each period. The high rate is only for easy arithmetic.
- Period 1: 100 × 1.10 + 10 = USD 120.
- Period 2: 120 × 1.10 + 10 = USD 142.
- Total contributed: 100 + 10 × 2 = USD 120; illustrated growth: 142 − 120 = USD 22.
- With Start of each period instead: (100 + 10) × 1.10 = 121, then (121 + 10) × 1.10 = USD 144.10.
Example result: USD 142.00 ending balance, USD 120.00 contributed and USD 22.00 illustrated growth for end timing.
What the result means
Separate money you put in from modeled growth. A bigger final pot is not all investment gain, and contribution timing changes how long each addition receives growth.
What this does not tell you
Constant growth is a mathematical assumption, not an expected return. Fees, inflation and taxes are excluded; real returns fluctuate and may be negative. Do not use this illustration as a promise of wealth.