Year 3: $1.331 million Put another way, a company growing at 10% a year would have grown 21% after two years and 33.1% after three years. So neither A nor B are growing at 10%, but who's growing faster? How to Annualize To answer the question, we need to put the two companies' growth rates on the same scale. We need to annualize. As we've seen, to account for compounding you can't just divide the return by the number of years. You will need Excel or a calculator that can exponentially calculate the correct annualized growth rate. You need to use the following formula: Annualized Return = Total Return^(1/N) N = number of years Note that to properly do the calculation, you need to convert the percentage return into decimal form. Divide the percentage return by 100 and then add 1. Thus, a 30% return is expressed as 1.30 and a 20% return as 1.20. Now plug in the numbers to figure out their annualized returns. For Company A: 1.30^(1/3) = 1.091, or 9.1% For Company B: 1.20^(1/2) = 1.095, or 9.5% By putting the two numbers on the same scale, we see that Company B is growing at a faster annual rate. Another Way Annualization Works What about when the data you have is less than a year? How would you annualize that? The good news is that the formula still works! You just have to tweak it a bit. Let's say you buy a CD that pays 2% interest per year, and compounds interest monthly. If you invest $1,000, how much would you have at the year of the year? Since there are 12 months in a year, this means every month you earned 0.167% (2%/12) interest. Expressed in decimal, that's 0.00167. Add 1 and raise to the power of 12. (1+(0.02/12))^12 = 1.0202 Multiply this by your original 1,000 and you get $1,020.20. Thus, the total interest you earned over the year is $20.20, or 2.02%. This 2.02% is also called the annual percentage yield, or APY, the actual interest you receive in a year. The APY also applies when you are the borrower. The difference the APY is the rate you pay per year. These are just two ways an investor can apply annualization. There are many other ways annualization can come in handy. Another way is to annualize the returns you have made in a short period of time to estimate how much return you may achieve in a year. The key is to keep the winners coming and avoid big losses if possible. The profits can really add up over time. One way to keep the winners coming is to tap long-term trends with unstoppable momentum. That's why we launched a new investment advisory that provides the latest, most promising marijuana investment trades available: Precision Pot Trader. We're so confident about this publication, we're making you a bold promise: if you don't get 52 "turbo" pot trades from Precision Pot Trader in the next year—which averages out to a triple or quadruple-digit profit opportunity once a week—let us know and we'll give you another year of the publication, on the house. Want to find the absolutely best pot stocks, for market-crushing gains? Click here to get started. |
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