What is Cost of Equity? – Meaning, Concept and Formula
February 12, 2025
Securitization is now becoming an integral part of the way in which international sporting franchises finance themselves. There is no doubt about the fact that securitization is on the rise in the sporting industry in almost every part of the world. This can be easily verified with statistics. However, it needs to be understood that […]
What Is Rework? Rework is that part of the final produce which has not been accepted by the client because it does not meet the required specifications. However, those specifications can be met by working on the item once again. Hence the name rework. What Is Spoilage? Spoilage is also that part of the final […]
The popularity of cryptocurrency is causing investors to make a beeline for buying into the cryptocurrency boom. The trading activity in these markets has increased manifold in the past few years. However, novice investors can find it difficult to understand how cryptocurrency is bought and sold. This is particularly important since there is more than […]
Smart contracts is another term that is commonly used within the cryptocurrency community. For the layman, this term can be intimidating if they do not know the meaning of the term. However, once the meaning is explained, the term and its implications become quite easy to understand. Also, the various applications of the smart contract […]
When we talk about social media, we often refer to companies like Facebook, Instagram, Twitter, and LinkedIn. However, in the past few years, another company has emerged as a huge player in the social media space. This company has created an application that is known for having high levels of user engagement. The application being […]
We have seen that a perpetuity represents an infinite stream of future cash flows. However, we have also seen that as time passes the value of these cash flows constantly diminishes. $100 may be able to buy us quite a few goods today, but in 50 years time $100 will not be nearly as valuable as it is today. It is for this reason that receiving infinite payments is not enough. The payments must also keep growing at a certain rate. This will ensure that they are not considerable behind inflation. This is the idea behind a growing perpetuity. The same has been explained in detail in this article:
As already stated, a growing perpetuity involves payments that do not remain fixed. Instead these payments keep on growing at the same constant rate of growth. So, if the rate of growth of the payments is 7%, each payment will be 7% more than the payment received before it.
The present value of a growing perpetuity can be derived from a complex mathematical calculation. This is because a growing perpetuity is also an infinite series which has a finite sum. For our purposes, we can just remember the formula required for our calculation.
Present Value (Growing Perpetuity) = D / (R - G)
Where:
D = Expected cash flow in period 1
R = Expected rate of return
G = Rate of growth of perpetuity payments
However, we need to understand that for this formula to hold true, G must always be greater than R. If G is less than R or equal to R, the formula does not hold true. This is because, the stream of payments will cease to be an infinitely decreasing series of numbers that have a finite sum.
Examples:
Growing perpetuities are found in a variety of places in our daily lives. Some of them have been mentioned below:
The growing perpetuity, thus assumes that we will lose a small amount of the real value of money every year. Just like the perpetuity, a growing perpetuity can only be summed up because the series is infinitely decreasing. The growing perpetuity assumes that we will lose the real value of money at a slower rate as compared to an ordinary perpetuity.
Your email address will not be published. Required fields are marked *