CAGR explained
Understand why example: +100% then −50% = arithmetic average of +25% but CAGR of 0% (you start at 100, double to 200, halve back to 100).
In this lesson
CAGR explained is part of Compound Growth & CAGR. This preview shows how investment-universe connects to everyday family decisions such as earning, saving, spending choices, goals, approvals, or parent-guided money conversations inside Progress Penguin.
Think about this money choice
Imagine this situation: Your investment: Year 1: +30%, Year 2: −15%, Year 3: +20%, Year 4: +10%.
How it works
Example: +100% then −50% = arithmetic average of +25% but CAGR of 0% (you start at 100, double to 200, halve back to 100). The average suggests 25% growth; CAGR correctly shows you gained nothing. CAGR is the honest metric because it reflects what your actual compound growth was.
Apply it to a real decision
Real-life money moment: Your investment: Year 1: +30%, Year 2: −15%, Year 3: +20%, Year 4: +10%. What is the CAGR over 4 years if you started with 100000 in local currency and ended with 145530 in local currency? The key lesson is: CAGR (Compound Annual Growth Rate) = (ending value/starting value)^(1/years) − 1.
Activity preview
Connect the ideas
Use the lesson to complete this short practice activity.
Try one real money action
Open Tasks and submit proof for one task, or open Requests and make a deposit request. Parent approval can happen later.
Quiz preview
CAGR is:
Your investment: Year 1: +30%, Year 2: −15%, Year 3: +20%, Year 4: +10%. What is the CAGR over 4 years if you started with 100000 in local currency and ended with 145530 in local currency?