📚 Advanced percentage calculators
The advanced percentage cluster covers annualized and compounding growth: APR, CAGR, compound interest, investment projections, growth rate, and percentage-point distinctions. Each calculator documents its compounding and period assumptions.
Annualized and compounding percent workflows live here—APR, CAGR, compound interest, investment growth, and percentage points. See the Finance hub for borrowing, paycheck, and payoff tools, the Retirement hub for nest eggs / IRAs / RMDs, and growth guides for narrative explainers.
Key facts
| CAGR | Geometric mean return: ((end/start)^(1/years) − 1) × 100. |
|---|---|
| Use cases | Portfolio reporting, loan comparisons, multi-year forecasts, rate wording audits. |
| Category | Finance / advanced analytics |
| Related concepts | Simple vs compound interest, percentage points vs relative change. |
Definitions
CAGR
Smooth multi-year growth rate that would produce the same ending balance with annual compounding.
Percentage point
Absolute difference between two rates, not their relative percent change.
Formulas
- CAGR: ((FV / PV)^(1/n) − 1) × 100
- Compound: FV = PV × (1 + r/n)^(nt)
- Percentage points: rate₂ − rate₁
Comparison table
| Topic | Guidance |
|---|---|
| CAGR vs average return | Arithmetic averages overstate volatile paths; CAGR is geometric. |
| APR vs note rate | APR includes certain fees/spreads; compare like with like across lenders. |
Glossary references
Reinforce entities by pairing percent language with conversion pages when learners mix fractions, decimals, and ratios.
❓ Frequently Asked Questions
Which tool for a multi-year portfolio?
Use CAGR when you have start, end, and years; use investment growth when adding periodic contributions.
Percentage points vs percent change?
Moving 4%→5% is +1 point but +25% relative change—use the percentage point tool when wording matters.
Where are paycheck, EMI, and 401(k) tools?
Borrowing and paycheck math live on the Finance hub; nest eggs, IRAs, and RMDs live on the Retirement hub.