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What in contrast, the term discounting in how it differs from compounding?

What in contrast, the term discounting in how it differs from compounding?

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Expert Solution

Time Value of Money says that the worth of a unit of money is going to be changed in future. Put simply, the value of one rupee today will be decreased in future. The whole concept is about the present value and future value of money. There are two methods used for ascertaining the worth of money at different points of time, namely, compounding and discounting. Compounding method is used to know the future value of present money. Conversely, discounting is a way to compute the present value of future money.

Compounding is helpful to know the future values, of the cash flow, at the end of the particular period, at a definite rate. Contrary to this, Discounting is used to determine the present value of the future cash flow, at a certain interest rate. Here, in this article, we’ve described the differences between compounding and discounting.

BASIS FOR COMPARISON COMPOUNDING DISCOUNTING
Meaning The method used to determine the future value of present investment is known as Compounding. The method used to determine the present value of future cash flows is known as Discounting.
Concept If we invest some money today, what will be the amount we get at a future date. What should be the amount we need to invest today, to get a specific amount in future.
Use of Compound interest rate. Discount rate
Known Present Value Future Value
Factor Future Value Factor or Compounding Factor Present Value Factor or Discounting Factor
Formula FV = PV (1 + r)^n PV = FV / (1 + r)^n

Key Differences Between Compounding and Discounting

The following are the major differences between compounding and discounting:

  1. The method uses to know the future value of a present amount is known as Compounding. The process of determining the present value of the amount to be received in the future is known as Discounting.
  2. Compounding uses compound interest rates while discount rates are used in Discounting.
  3. Compounding of a present amount means what will we get tomorrow if we invest a certain sum today. Discounting of future sum means, what should we need to invest today to get the specified amount tomorrow.
  4. The future value factor table is referred to calculate the future value in case of compounding. Conversely, in discounting, present value can be computed with the help of a Present value factor table.
  5. In compounding, present value amount is already specified. On the other hand, the future value is given in the case of discounting.

Conclusion

Compounding and Discounting are simply opposite to each other. Compounding converts the present value into future value and discounting converts the future value into present value. So, we can say that if we reverse compounding it will become discounting. Compounding Factor table and Discounting Factor table is taken into consideration for the quick calculation of the two. In the table, you will find the factors, concerning different rates and periods. The factor is directly multiplied by the amount to arrive the present or future value.


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