Difference between Compounding and Discounting
Basis |
Compounding |
Discounting |
---|---|---|
Meaning |
Compounding makes your money grow by adding interest to both the initial amount and the interest it earns. |
Discounting finds out how much future money is worth now, considering things like inflation. |
Direction |
It shows how investments grow over time, starting from the amount you have now. |
It tells you how much future money is worth today, starting from what you expect to get. |
Purpose |
Compounding helps you see how your money can grow in the future, like in savings or investments. |
Discounting helps you decide if something is a good deal now, considering what you’ll get in the future. |
Formula |
You multiply the starting amount by one plus the interest rate raised to the number of years. FV = P(1 + r/n)^(nt) |
You divide the future cash by one plus the discount rate raised to the number of years. PV = P(1 + r/n)^(nt) |
Application |
It’s used in savings accounts, investments, or retirement planning to see how much you’ll have later. |
It’s used in finance to decide if something is worth it now, like a project or investment. |
Time Value |
It shows that the longer you wait, the more your money will grow. |
It knows that getting money later is less valuable than getting it now because things can change. |
Impact of Rates |
Higher interest rates make your money grow faster over time. |
Higher discount rates mean future money is worth less now, and lower rates mean it’s worth more. |
Decision-making |
It assist individuals and businesses to determine the potential for growth of an investment. |
It assist individuals and businesses to quantify the value of proposed future cash flows and investment opportunities. |
Difference between Compounding and Discounting
In finance, there are two important concepts: compounding and discounting. Compounding is when your money grows over time because you earn interest not just on your original amount, but also on the interest it earns. Discounting is about figuring out how much a future amount of money is worth to you right now. These concepts help us make smart choices about saving, investing, and spending our money wisely.