Vampires can teach you a thing or two about the power of compounding

What if one were to tell you that vampires teach us a very important lesson about investing? You would obviously not believe it. But the fact of the matter is that they do, and this is how.
To survive, vampires basically need to drink the blood of a human being at least once a month. As Marcus Du Sautoy writes in Thinking Better – The Art of the Shortcut: “The trouble is that once you have feasted on the human, the victim becomes a vampire, too. So next month there are twice as many vampires in the search for human blood to feast on.”
To start with, the world has just one vampire. In the first month, the number doubles to two. In the second month, it doubles to four. In the third month, we have eight vampires. And so it goes.
By the end of the 32nd month, the world will have 4.3 billion vampires. To survive, the vampires will now need 4.3 billion humans whose blood they can feast on.
Data from the World Bank tells us that in 2020 the world population stood at 7.8 billion individuals.
By now, in September 2021, this would have touched around 7.9 billion. If this vampire story were to play out, it would basically mean that in the 33rd month the vampires could drink the blood of at best 3.6 billion, given that the remaining 4.3 billion would have already turned into vampires.
As Sautoy writes: “Each month the population of vampires doubles. Such is the devastating effect of doubling that within 33 months a single vampire would end up transforming the world’s population into vampires.” So, the world will run out of humans to feed vampires in the 33rd month. This also helps to explain “why there are (probably) no vampires on earth”.
So, that was our little story, which shows us the power of compounding. In this example, the vampires double every month, meaning the number of vampires are compounding at the rate of 100% per month. While this happens, the absolute number of vampires is growing by a bigger number, the further we go in time.
So, at the end of the 29th month, the total number of vampires stands at 536.9 million. At the end of the 30th, it is at 1.07 billion, having grown by 536.9 million during the month.


