CAGR & FIRE Calculator (Financial Independence)

Compute nominal CAGR, Fisher real return after inflation, and Safe Withdrawal Rate (SWR) FIRE retirement corpus target.

Compound Annual Growth Rate (CAGR)
12.33%
Inflation-adjusted real CAGR: 9.06% p.a. (at 3% inflation)
Real Return (Fisher Eq.) 9.06%
FIRE Target (4% SWR) $1,200,000.00
Current FIRE Funding Ratio 26.7%
Total Growth Multiple 3.2×
Inputs
Amounts are treated in the selected currency; no foreign-exchange conversion is applied.
USD ($)
Starting investment value.
USD ($)
Ending or current portfolio value.
years
Number of years between beginning and ending values.
USD / yr
Expected annual spending in retirement.
% / yr
4% equals 25× annual expenses; 3.5% equals 28.6× annual expenses.
% / yr
Used to compute exact Fisher real return.
Results & Graph
Compound Annual Growth Rate (CAGR)
12.33%
Inflation-adjusted real CAGR: 9.06% p.a. (at 3% inflation)
Real Return (Fisher Eq.)
9.06%
FIRE Target (4% SWR)
$1,200,000.00
25× annual expenses
Current FIRE Funding Ratio
26.7%
Total Growth Multiple
3.2×

Nominal Growth vs. Real Purchasing Power Trajectory

Comparison of nominal compounded value and inflation-adjusted value
Graph 1 • Period-by-Period Stacked Breakdown Comparison of nominal compounded value and inflation-adjusted value
0 139.5k 279.1k 418.6k 558.1k Yr 0Yr 2Yr 4Yr 6Yr 8Yr 10
Graph 2 • Ending Horizon Composition Ring Proportional share at final period
HORIZON TOTAL 558.1k Nominal Value (USD) 320.0k (57.3%) Real Purchasing Power (USD) 238.1k (42.7%)
Graph 3 • Cumulative Growth & Crossover Trajectory Tracks total value vs. base principal across the full horizon
0 301.4k 602.8k Yr 0: 200,000 200.0k Yr 0 Yr 1: 221,398 Yr 2: 245,139 245.1k Yr 2 Yr 3: 271,485 Yr 4: 300,728 300.7k Yr 4 Yr 5: 333,193 Yr 6: 369,244 369.2k Yr 6 Yr 7: 409,284 Yr 8: 453,764 453.8k Yr 8 Yr 9: 503,185 Yr 10: 558,110 558.1k Yr 10
Summary: Nominal value grows from $100,000.00 to $320,000.00 (12.33% CAGR), while real value is 9.06% per year.
Summary: Growing from $100,000.00 to $320,000.00 over 10 years represents a nominal CAGR of 12.33% and a real purchasing-power return of 9.06% after 3% inflation. Based on $48,000.00 in annual expenses and a 4% safe withdrawal rate, your FIRE target corpus is $1,200,000.00.

Formula & Mathematical Methodology: CAGR, Fisher Real Return & Safe Withdrawal Rate Identity

CAGR = (EVBV)1n − 1,   rreal = 1 + CAGR1 + Inflation − 1,   FIRE Corpus = Annual ExpensesSWR
CAGR = (EV / BV)^(1/n) − 1; Real Return = [ (1 + CAGR) / (1 + Inflation) ] − 1; FIRE Target = Annual Expenses / SWR
  • BV, EV: Beginning Value and Ending Value
  • n: Number of years
  • SWR: Safe Withdrawal Rate as a decimal (e.g., 0.04)

Rounding: Rates round to 2 decimal places.

Worked Example: $100,000 Growing to $320,000 Over 10 Years with $48,000 Annual Expenses

Evaluate a portfolio that grew from $100k to $320k in 10 years during 3% annual inflation, targeting $48k/year retirement spending at a 4% SWR.

  1. Nominal CAGR = (3.20)^(1/10) − 1 = 12.33% per year.
  2. Fisher Real Return = (1.1233 ÷ 1.03) − 1 = 9.06% per year.
  3. FIRE Target = $48,000 ÷ 0.04 = $1,200,000 (current $320k is 26.7% funded).
Result: Nominal CAGR is 12.33%, real CAGR is 9.06%, and FIRE target is $1,200,000.

Frequently Asked Questions

Why is the Fisher equation more accurate than subtracting inflation from nominal return?

Inflation erodes both your principal and the investment gains earned during the year. Dividing (1 + nominal) by (1 + inflation) captures this cross-product accurately.

Finance & Investing • Retirement & Portfolio Analytics Guide

How to Use the CAGR & FIRE Calculator (Financial Independence): Practical Guide & Visual Analysis

Analyze historical or projected investment growth using exact CAGR and the Fisher real-return identity, and benchmark your current net worth against your Financial Independence (FIRE) target. Whether you are researching cagr calculator, fire calculator, financial independence retire early, safe withdrawal rate, inflation adjusted return, this interactive tool helps you calculate Compound Annual Growth Rate (CAGR), Fisher inflation-adjusted real return, and your Financial Independence (FIRE) target corpus.

Interpreting the 3 Custom Visual Graphs & Key Outputs

As you adjust Display Currency, Beginning Portfolio Value, Ending Portfolio Value, Time Period, the calculator immediately computes Nominal CAGR (%), Inflation-Adjusted Real Return (%), FIRE Target Corpus ($), Current FIRE Funding Progress (%) and updates all three domain-specific SVG charts in real time. Instead of relying on a single static figure, you can inspect the primary domain diagram, component breakdown, and multi-point trajectory curve to see how changing your inputs shifts the final result. Use the Compare (up to 3 scenarios) button to evaluate side-by-side variations before making a decision.

Real-World Benchmark & Planning Tips (Global)

In our benchmark scenario ($100,000 Growing to $320,000 Over 10 Years with $48,000 Annual Expenses), Nominal CAGR is 12.33%, real CAGR is 9.06%, and FIRE target is $1,200,000. Keep in mind that uses the exact Fisher equation rather than simple subtraction (CAGR − inflation) for real purchasing-power return. For related calculations in Finance & Investing, explore Compound Interest Calculator, SWP Calculator (Systematic Withdrawal Plan), SIP Calculator (Systematic Investment Plan), ROI Calculator (Return on Investment).