Valuation Divergence – Meaning and its Importance
For any startup financing to be successful, the startup company and the investors need to be on the same page about a lot of issues. This is because, in the absence of this understanding, valuation divergence can be a quagmire of ever-escalating tensions between the two parties. One major source of conflict between these two […]
History of Modern Banking
Banking in old times was not the tightly monitored and tightly regulated business that it is today. Instead, earlier banking was completely a free market operation. Any entrepreneur could enter and exit the banking business without any restriction or licenses. In this article, we will trace the evolution of banking i.e. how banking changed to […]
What is Bank Guarantee? – Different Types of Guarantees
The scope of trade has been widely expanded in the modern world. There are many kinds of organizations, private and public which trade with each other. A lot of the time, trades happen between big and small organizations and sometimes these trades happen when both parties are present in different countries. In such cases, there […]
How Co-Founders Split Their Equity?
Beginning a startup can be quite an overwhelming process. This is because of the fact that founders need to make many significant decisions. They need to decide the markets which they intend to serve. Also, the product mix needs to be decided. It is also important that a company chooses its financing and investors carefully. […]
How Reserve Requirements Work ?
Reserve requirements are one of the most important features of modern central banking. We hear about reserve requirements almost every day in the media. When central banks like the Fed change these requirements, it is said to have a huge impact on the markets. Liquidity worth billions of dollars is said to be either released […]
In the articles on present value, we learnt that the value of a dollar today is not the same as it will be 10 years from now. Then, we came across annuities which are a powerful mechanism that ensure that the nominal value of the payments remain the same throughout the years whereas its internal components i.e. interest and principal keep on changing. Annuities, therefore give a very useful way to work with a schedule of payments. There are various types of payment schedules possible while working with an annuity. Here are some of the important types:
Annuities can convert a lump sum payment today into a series of future cash flows which will have the exact same value as of today. This is useful in business because usually the outlays required have to be done immediately in a lump sum whereas the benefits arrive at a later date and they arrive in installments. Annuities therefore enable us to draw a comparison between these values and decide if they are beneficial to us.
Example: Assuming a 12% rate of return for the next 5 years, an annual payment of $27.74 has the same present value as a $100 payment today. So we can choose between making a $100 payment upfront or choose a 5 year annuity of $27.74
The reverse of the above calculation is also true. Annuities help us to take a series of future equal payments that will be made at equal periodic intervals and come up with a lump sum present value that is equal to those payments. This too is very useful. Let’s say that you are scheduled to make mortgage payments for the next 5 years. But instead you choose to pay upfront and close the loan. What is the amount that you should pay to the lender? Annuity calculations will help us come up with that amount.
Example: Assuming a 14% interest rate for the next 5 years and an annual payment of $100, the present value of this stream of payments is $343.31
Now, in the above cases we were converting lump sums into equal payments or equal annuity payments into lump sums. Annuity calculations can be used to arrive at the calculation of the two as well. The payment maybe partially made in equal installments and partially paid in a lump sum. For instance, if you owed the bank $500, you could pay $200 upfront and convert the balance into an annuity.
Annuity calculations allow you to convert any lump sum or stream of cash flows into any other lump sum or stream of cash flows or a combination of both. These calculations form the backbone of finance and it is difficult to imagine the financial world without them.
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