The compound interest formula continuously is known to many as a more commonly used type of compound interest formula in real life. The compounding happening nowadays is made automatically through computers. Therefore, the compounding may happen by the minute or even by the second. Since this is the case, one should really learn how the formula works. Before getting in an investment or loan, one should prepare not only money-wise but also with knowledge regarding the computations and the processes done. Companies or banks use automated machineries for computations and the compounding, especially in loans, is done every minute. Being prepared will surely give you an advantage and will help you have a better loan experience than most with the formula.

Parts Of The Compound Interest Formula Continuously That We Should Take Note Of:

In forming this innovative formula, there is one part that gets all the attention. It has then been known as a progress of exponent purposes. If you remember how the formula looks like, you will see a, exponential value there of 'e'. This is known as the natural exponent. There are books regarding more information of the exponent but in this article we will focus more on the formula itself and the process it is used for.

There is another part in the formula that we should also pay attention to.For students, this is the part where in more are getting a hard time with. This part of the formula that I am talking about is the variable 'n'. The 'n' is the substitute for the times that the interest gets compounded in a year. Using the continuous formula, what do you think will be the result of your cash amount, especially when it just starts compounding more and more by the minute or second? What do you think will happen if the yearly compounding goes to quarterly compounding to every month and so on and so forth?
Let us see what will happen to the result of the compound interest formula continuously is we will disregard the principal amount, and all other parts of the formula, and just focus on how the compounding works:

Time/s of compounding - Result of the compound interest formula continuously

yearly - 2

semi-annually - 2.25

quarterly - 2.44140625

monthly - 2.61303529022€¦

weekly - 2.69259695444€¦

daily - 2.71456748202€¦

hourly - 2.71812669063€¦

every minute - 2.7182792154€¦

every second - 2.71828247254€¦

As what is shown in the table, the results get larger as the number of compounding gets more frequent. However, you may also notice that the progress of increase is not that much when the time of compounding gets more often. There is almost a constant value of 2.71 in the latter parts. If you are keen enough, you will be able to notice that it is almost becoming one of the parts of the standard formula which is the natural exponent known as 'e'.