What is the difference between compounding and discounting?

What is the difference between compounding and discounting?

• A. They are unrelated to principal.
• B. They both increase the principal.
• C. Compounding increases the amount of principal, while discounting reduces the value of the principal.
• D. Discounting increases the value of the principal.

Answer: (C)

The main idea is how time and interest change value. Compounding grows money by earning interest on the accumulated balance—interest adds to the principal, then that larger amount earns more interest. Over time, this makes the future value bigger than the original principal. Discounting, on the other hand, brings a future amount back to today’s value. It reduces the value when you convert a future cash flow to present terms, using a discount rate (present value = future value divided by (1 plus rate) to the power of time). So compounding increases the amount over time, while discounting lowers the value when moving from future to present. This distinction is fundamental in understanding time value of money and how loans, leases, and investments are priced.

The main idea is how time and interest change value. Compounding grows money by earning interest on the accumulated balance—interest adds to the principal, then that larger amount earns more interest. Over time, this makes the future value bigger than the original principal. Discounting, on the other hand, brings a future amount back to today’s value. It reduces the value when you convert a future cash flow to present terms, using a discount rate (present value = future value divided by (1 plus rate) to the power of time). So compounding increases the amount over time, while discounting lowers the value when moving from future to present. This distinction is fundamental in understanding time value of money and how loans, leases, and investments are priced.