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.
Today’s money mission
Imagine this situation: Your investment: Year 1: +30%, Year 2: −15%, Year 3: +20%, Year 4: +10%.
What you need to know
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.
Real-life example
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.
Progress Penguin connection
Open the investment simulator and enter a start value of ₦100,000 and an end value of ₦250,000 over 5 years. Calculate the arithmetic average annual return (30%, 20%, −10%, 40%, 20% = 20% average). Now calculate the CAGR. Notice they are different. CAGR reflects what actually happened to the money.
Activity preview
Try the money challenge
Run the investment model and test: example: +100% then −50% = arithmetic average of +25% but CAGR of 0% (you start at 100,. Adjust one variable — time, rate, or amount — and note which has the biggest effect on the final balance.
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?