🚀 Advanced percentage calculators

Quick answer

APR, CAGR, compound interest, investment growth, and percentage points—annualized and compounding math in one place.

CAGR: ((FV / PV)^(1/n) − 1) × 100 · Compound: FV = PV × (1 + r/n)^(nt) · Percentage points: rate₂ − rate₁

Best for: Portfolio reporting, loan comparisons, multi-year forecasts, rate wording audits.

Also see: Finance hub · Growth guides · Percentage guide

Annualized and compounding workflows—see the finance hub for the broader money cluster.

Key facts

CAGR Geometric mean return: ((end/start)^(1/years) − 1) × 100.
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.

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.

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.

Glossary references

Pair percent language with conversion pages when you mix fractions, decimals, and ratios.