Arithmetic Mean or Geometric Mean?
Well well.
Once upon a time long long ago we heard about Arithmetic Mean, Geometric Mean, Harmonic Mean and Standard Deviation. Then we promptly forgot how to use them. People keep asking me ‘When should I use AM and when GM?
For relationship managers this is a very important question. AM is very useful when calculating returns – hey it ALWAYS throws up a higher number! Let us say we need to calculate sensex returns over 30 years it would be a CRIME to use AM.
Let me explain. Let us say there is a company whose profits grew by Rs. 10 crores, Rs. 8 crores and Rs. 12 crores over a 3 year period.
Can I say it grew by an average (AM) of Rs. 8 crores over 3 years?
Sure, I would be right.
However if a company grew its profits from 100 to 200 in 3 years would be right to say it grew by 33% every year? No. Here the GM comes into play. The correct answer is 24%, not 33%.
Also if a company grew by 12%, 14% and 28% over 3 years, can I say it grew by an average of 18% p.a. over the past 3 years? Obviously not
Take a company with sales at Rs. 1000 – and mathematically find out the difference. I am too lazy to do it . LOL.
Hope you understood the diff between AM and GM. Both are useful. GM will almost always be less than the AM…remember Sebi saying ‘Only GM as an average return?’ – obviously NOT!! BUT yes they do insist on CAGR. Same thing. They know what they want
pravin
geometric mean should be used whenever calculating average over multiple time periods.growth rates for example
Vikas
However if a company grew its profits from 100 to 200 in 3 years would be right to say it grew by 33% every year? No. Here the GM comes into play. The correct answer is 24%, not 33%
Isn’t the correct answer 26% (and not 24%)?