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Understanding the Game:

You're following a basketball player's career over several years. You want to evaluate how their performance has improved from their rookie season to the present. CAGR (Compound Annual Growth Rate) in business is like measuring the average annual growth rate of an investment, but in our case, it's the player's performance improvement over a specific period.

Starting Point (Initial Value): Think of the player's performance in their rookie year. In business, this would be the initial value of an investment or a company's revenue or profit at the start of the period being measured.

Ending Point (Final Value): This is the player's performance in the current season. In business terms, it's the final value of the investment or the company's most recent revenue or profit.

Time Period: This is the number of years over which you're measuring the player's performance improvement. In the business context, it's the length of time over which growth is calculated.

CAGR Calculation: To find the CAGR, you would look at how much the player's performance has grown from the rookie season to the current season and then calculate the average annual growth rate that would link these two points over the time period. It's like saying, "If this player improved at a steady rate every year, what would that rate be?"

For example, if a player scored an average of 10 points per game in their rookie season and now scores 20 points per game in their fifth season, the CAGR would calculate the average annual growth rate of their scoring performance over these five years.

CAGR is a useful tool because it provides a smoothed annual growth rate, ironing out the fluctuations that might occur from year to year. Just like in sports, where a player might have ups and downs in performance, CAGR gives a clear picture of the overall trend in growth over time.