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CAGR Calculator

Calculate the smoothed annual growth rate of an investment over a specific time horizon.

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Calculation Parameters

Specify your inputs below.

Calculated Result

Total Value Gained $7,000.00
Compound Annual Growth Rate 15.71%
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Expert Tip

CAGR is a smoothed rate of return, meaning it shows growth as if the asset had grown at a steady rate.

How this Calculator Works

This calculator determines the Compound Annual Growth Rate (CAGR) of an asset from its initial to final values. It assumes the investment grew at a constant compounded rate each year, smoothing out volatile market fluctuations. Business managers and portfolio analysts use it to report historical growth.

Formula & Methodology

CAGR = [ (Ending Value / Beginning Value)^(1 / Years) - 1 ] * 100 - Ending Value is the final balance of the investment. - Beginning Value is the initial capital invested. - Years is the total duration of the investment period in years.

Step-by-Step Calculation Example

Here is a step-by-step example showing how the calculations are performed:

An investment grows from $50,000 to $100,000 over a period of 5 years. 1. Divide ending value by beginning value: $100,000 / $50,000 = 2.0. 2. Raise ratio to the power of 1/5: (2.0)^(1/5) = 1.1487. 3. Subtract 1 and multiply by 100: (1.1487 - 1) * 100 = 14.87%. Result: The Compound Annual Growth Rate (CAGR) is 14.87%.

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Detailed Insights & Expert Guide

ℹ️ About this Calculation

This investment analytics calculator evaluates portfolio yield, compounding growth, risk-adjusted returns, present/future asset valuations, and capital growth metrics based on CFA and modern portfolio theory (MPT) principles.

Variable Glossary

Input

Investment Parameters

Initial principal, periodic contribution, interest rate, discount factor, holding period, or asset price inputs.

Parameter

Performance Metrics

Compound Annual Growth Rate (CAGR %), Net Present Value (NPV), Internal Rate of Return (IRR), or Sharpe ratio.

How to Calculate Step-by-Step

1

Step 1

Enter your initial investment capital, asset purchase prices, or cash flow streams.

2

Step 2

Set compounding frequency, discount rate, or benchmark risk-free rate factors.

3

Step 3

Review calculated total return value, annualized growth %, or risk-adjusted alpha/beta statistics.

FAQ

How does compounding frequency impact investment returns?
More frequent compounding (e.g. monthly or daily vs. annually) generates higher effective annual yields (APY) because interest is calculated on accumulated interest earlier in the period.
What is the difference between Sharpe Ratio and Sortino Ratio?
The Sharpe ratio divides excess return by total standard deviation (both upside and downside volatility), whereas the Sortino ratio divides excess return by downside deviation only.
Should investment calculators replace professional wealth management?
No. Investment calculators model financial mathematics under assumed growth rates. Actual market performance fluctuates, so consult a licensed financial planner (CFP) or RIA for personalized advice.