 ## Important Facts For Prelims (29th April 2019)

• 29 Apr 2019

### Compounded Annual Growth Rate (CAGR)

• The CAGR is the yearly smoothened growth rate of an investment after a given interval. This is different from the average annual growth rate that investment might have seen over the two years. E.g.:
• An investment of ₹1,000 is made in 2014, which then grew 200% in the first year to ₹3,000 in 2015, but then corrected to ₹1,500 in the second year.
• In this case, the average annual growth rate would be 75%, which is the average of 200% growth in the first year and a 50% contraction in the second.
• However, a 75% annual growth rate would have yielded a return of ₹3,062.5 at the end of the second year, which is not what happened.
• To arrive at a more realistic growth rate to explain what happened, the compound annual growth rate, which basically smoothes out the average growth per year over the period under consideration.
• So, in this example, the CAGR would be 22.47%. This number shows how much ₹1,000 would have to grow every year to reach ₹1,500 by the end of the second year.
• Calculating CAGR requires three pieces of information: the start value of the investment, end value, and the number of periods under consideration.
• CAGR provides a more accurate rate of growth that can help investors arrive at a more informed decision about their investment.
• However, CAGR does not reflect investment risk. It does not provide information about how the investment has performed within that time period.  