Infrastructure as an Asset Class
As asset class is a group of assets that have similar investment characteristics amongst themselves. At the same time, their investment characteristics are different from other asset classes. For instance, all stocks share certain characteristics amongst themselves, which they do not share with bonds. Similarly, there are certain characteristics that infrastructure also has as an […]
Conflict of Interest in Investment Banking
Investment banking institutions are engaged in multimillion-dollar transactions. This means that if an investment bank is perceived to be operating in a conflict of interest situation, it could severely damage the reputation of the bank. This lost reputation could end up becoming a financial loss is no time. There have been several instances where conflict […]
Disadvantages of Bootstrapping
In the previous article, we have learned about what self-financing i.e. bootstrapping is. We have also learned about what are the various advantages of using the bootstrapping technique. However, despite the advantages listed in the previous article, relatively few startup founders actually go the bootstrapping route. This is because of the fact that bootstrapping also […]
History of Corporate Taxation
In 2019, President Donald Trump created outrage when he decided to lower the tax rates of corporations. Donald Trump was of the opinion that high corporate tax rates in the United States are making domestic companies uncompetitive. As a result, companies are choosing to incorporate out of America. Donald Trump enacted a law that allowed […]
Principles of Strategic Financial Management
The field of strategy is not an exact science. This is because strategies are made based on the assumptions that an individual or a group of people have about the future. It is for this reason that if different people undertake the activity of strategic financial management, they are likely to come up with different […]
An annuity, just like a perpetuity, is a shortcut used while making present value calculations. Unlike the perpetuity, which is very difficult to find in real life, we find examples of annuity all around us. The monthly mortgage payments we make, the car loan or student loan that we pay off are all annuities. Annuities play a very important role in corporate finance. They form the basis for valuation of bonds and other financial instruments. This article provides more information about the concept of an annuity:
Finite Stream: The first and foremost difference between an annuity and a perpetuity is the fact that an annuity has a finite life. Unlike perpetuities, annuities do not go on forever. It is for this reason that we they are conceptually more intuitive and easy to understand.
Equal Amounts: A stream of payments can be called an annuity, if and only if, all the payments in that stream of future cash flows is of equal amounts. For instance, if the future cash flows for 4 consecutive years from now are $100 in each year, then this stream is called an annuity. On the other hand, if the future cash flows for the next 3 years are $100 and the 4th year is $110, then this stream of cash flows cannot be called an annuity. (It is an annuity if you consider years 1 to 3)
Equal Time Lag: Every payment in the stream of cash flows should be equally spaced. This means that if payments are being made on a monthly basis, all payments should be made on a monthly basis. If the time lag when payments are made is changing, then the cash flow schedule cannot be classified as an annuity. This is because the annuity formula assumes that the cash flows are evenly spaced out.
Same Interest Rate: A stream of cash flows can be called an annuity, if the interest rate being charged throughout the period is same. For instance, if the rate of interest across the entire duration of a 10 year loan is 10%, then the stream of payments can be classified as an annuity. On the other hand, if the rate of interest keeps varying from year to year, then it cannot be valued as an annuity because the annuity calculation formula assumes the same interest rate.
Amortization Concept: The payments in an annuity represent amortization of a lump sum amount. This means that although the amount paid in installments is constant, its internal components are changing.
Let’s understand this, with the help of an example. Let’s say that there is a $100 payment per month for the next 5 years. Now, the $100 amount will remain constant for the next 5 years, however the internal components will change. The first payment may represent an $80 interest charge and $20 repayment of principal while the last payment may only represent $10 interest and $90 repayment of principal. This is called amortization.
The first few payments in an annuity have very high interest components. With the passage of time, the interest component becomes smaller and smaller and repayment of principal amounts becomes larger and larger.
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