Compounding is the fact that money grows faster purely because more time has elapsed since it started to grow.
Let me start with an anecdote close to my heart: Chess is a board game played on 64 squares. In an ancient epic, an arrogant king was humbled by the mathematical agility of the inventor of Chess. The king asked the inventor for any reward.
To teach the king a lesson, the inventor asked – put one grain of rice on first square (1), double that on the second square (2), double that on third square (4)… and so on and so forth. And when you reach 64 square, just collect all these rice grains and give it to me (1+2+4+8+…. till 64th square).
The king laughed thinking that the inventor is foolish asking for a ‘few’ grains of rice BUT soon realized what compounding is.
The total number of grains equals 18,446,744,073,709,551,615, weighing 461,168 million metric tons – which is 50,000 times more rice than produced in United States every year, and if put together would be a heap of rice larger than Mount Everest. (Picture on the left shows the heap on square 10, this bunch becomes larger than Mount Event till square 64.)