Retained Earnings Calculator
### Corporate Accounting & The Statement of Stockholders' Equity **Retained Earnings** is the cumulative net income of a corporation from inception to date, less all cash dividends, property.
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📐 Formula
💡 Practical Example
A corporation with $250k beginning RE, $80k net profit, $20k cash dividends, and $5k stock dividends: Ending RE = $250k + $80k - $25k = $305k ($55k retained, 68.75% retention ratio, 11% SGR).
📖 About Retained Earnings Calculator
Corporate Accounting & The Statement of Stockholders' Equity
Retained Earnings is the cumulative net income of a corporation from inception to date, less all cash dividends, property dividends, and stock dividends declared and paid to common and preferred shareholders.
Core Financial Accounting Equations
- Retained Earnings Waterfall: RE_ending = RE_beginning + Net Income - Dividends_cash - Dividends_stock
- Net Addition to Retained Earnings: Δ RE = Net Income - Total Dividends
- Earnings Retention Ratio (Plowback b): b = Δ RENet Income = 1 - DPR
- Dividend Payout Ratio (DPR): DPR = Total DividendsNet Income × 100\%
- Sustainable Growth Rate (SGR): SGR = ROE × b = (Net IncomeEquity) × (Net Income - DividendsNet Income)
Balance Sheet & Accounting Conventions
- Accumulated Deficit: If cumulative historical net losses exceed net profits, retained earnings becomes a negative debit balance termed an Accumulated Deficit.
- Not Free Cash: Retained earnings is an equity accounting claim on assets, not a liquid cash bank account balance; retained capital is often deployed into plant, property, inventory, and equipment.
How to Use This Calculator
Enter your Beginning Retained Earnings () (e.g. 250000 in ), Net Income / (Net Loss) for Period () (e.g. 80000 in ), Cash Dividends Paid () (e.g. 20000 in ), Stock Dividends Distributed () (e.g. 5000 in ), and Beginning Total Stockholders' Equity () (e.g. 500000 in ). Results update instantly as you type — adjust any value to compare scenarios.
The Formula
ROE = Net Income / Equity
SGR = (ROE b) / (1 - (ROE b)) or simple ROE * b
Worked Example
A corporation with 250k beginning RE, 80k net profit, 20k cash dividends, and 5k stock dividends: Ending RE = 250k + 80k - 25k = 305k (55k retained, 68.75% retention ratio, 11% SGR).
Understanding Your Result
Evaluate your result in the context of your specific use case and relevant industry standards or reference values. A single calculated result is a starting point — test two to three scenarios to understand how sensitive the outcome is to your key input assumptions. For high-stakes decisions, verify your result against a secondary source or subject-matter expert before acting.
💡 Mathematical Rigor & Applied Context
- This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
- Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
- Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
- Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
- Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
- For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
- Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
- When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.