The Merger Modeling
The Three statement financial models and discounted cash flow models are considered to be basic from a financial modeling point of view. On the other hand, financial modeling for mergers and acquisitions is said to require a lot of skill. Merger modeling is extremely complex. This is also the reason why investment banks across the […]
The SWIFT Network
We live in a technological age today and hence are afforded many conveniences which people in the prior generations did not have. For instance, today, if we want to transfer money to a person or an entity in a different part of the globe, it can be accomplished with a few clicks and within a […]
The Financial Independence Retire Early (FIRE) Movement
In the previous article, we learned about financial freedom or financial independence. However, in the traditional financial planning world, financial freedom was only considered to be a goal that is to be reached towards the end of one’s career. The general opinion was that financial freedom has to be reached when a person has attained […]
Constraints and Contribution Margin Analysis
Hidden Assumption: The cost volume profit analysis has a rogue assumption. This rogue assumption believes that the cost volume profit analysis is completely scalable. We know that this is not the case. We operate in a finite world and have finite resources. We show this in our analysis when we write down the relevant range […]
Pros and Cons of Bank Guarantees
In the previous article, we have already studied what bank guarantees are and how these bank guarantees are provided by a commercial bank as a value-added service to their corporate customers. We are also aware of the various types of bank guarantees as well as their purposes. In this article, we will understand some of […]
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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