How To Calculate Compounded Annual Growth Rate

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Compound annual growth represents growth over a period of years, with each year’s growth added to the first value. Sometimes called interest , the compound annual rate of growth (CAGR) indicates the typical annual rate of growth once you reinvest the returns over variety of years. It’s especially useful when your investment experiences significant fluctuations in growth from year to year, since a volatile market means an investment may even see large returns one year, losses subsequent then more moderate growth another year.

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What’s CAGR?

But first, let’s define our terms. the simplest thanks to consider CAGR is to acknowledge that over variety of years, the worth of something may change – hopefully for the higher – but often at an uneven rate. The CAGR provides the one rate that defines the return for the whole measurement period. for instance , if we were presented with year-end prices for a stock like:

  • 2015: $100
  • 2016: $120
  • 2017: $125

From year-end 2015 to year-end 2016, the worth appreciated by 20% (from $100 to 120). From year-end 2016 to year-end 2017, the worth appreciated by 4.17% (from $120 to $125). On a year-over-year basis, these growth rates are different, but we will use the formula below to seek out one rate of growth for the entire period of time .

Using Compound Annual rate of growth

Compare the performance of multiple business measures within a corporation . watching the CAGR of various metrics over time might provide a clearer picture of a company’s strengths and weaknesses. for instance , suppose the CAGR of a company’s market share was 1.82 percent over a five-year period. But suppose within the same period of time , their customer satisfaction CAGR was -0.58 percent. This discrepancy highlights areas during which the corporate could improve.

Understanding the restrictions of Compound Annual rate of growth

Understand the restrictions of representation. counting on the period of time you analyze, you’ll get very different results for the CAGR. Once you calculate the CAGR for a selected period of time , look further back in time to ascertain if changing the period of time significantly alters your result. you’ll find a way smaller CAGR over a extended period of your time .

  • For instance , suppose over the course of 5 years, a $100,000 investment lost money within the first two years, on the other hand grew significantly within the last three years. The CAGR for the last three years would be high, because the investment grew. But if you check out it over a five-year period, you include the reductions in value, and therefore the CAGR would be smaller .
  • For instance , suppose the $100,000 decreased to $67,000 in year one and to $43,000 in year two. Then in year three it began to recover and grew to $75,000, then to $92,000 in year for and to $125,000 in year 5.
  • If you calculate the CAGR for the last three years, you’d use the formula [(125,000/43,000)^(1/3)] -1 = 42.72 percent.
  • However, if you calculate the CAGR for the whole five years, you’d use the formula [(125,000/100,000)^(1/5)] – 1 = 4.27 percent. This is often much more modest.
How To Calculate Compounded Annual Growth Rate

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