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Present Value and Discount Rate

📈 Economics By CampusDown Wiki Editorial Team Last updated
Present value is what a future sum of money is worth today after discounting it at a given rate. It's the foundation of the time value of money and nearly every valuation in finance.
Contents
  1. 1. Why discount future money?
  2. 2. How does NPV guide decisions?
  3. 3. FAQ
  4. 4. References

Why discount future money?

A dollar today can be invested to earn interest, inflation erodes future purchasing power, and future payments carry risk. So we divide future amounts by a discount rate. At 5%, $105 a year from now is worth $100 today, and $1,000 ten years out is worth about $614. The rate reflects opportunity cost, inflation and a risk premium.

How does NPV guide decisions?

Net present value equals the present value of future cash flows minus the upfront cost. A positive NPV means the investment should add value (Brealey et al., 2020). The same math explains why higher interest rates push down growth-stock prices: profits far in the future get discounted more heavily. For a quick doubling estimate, see the Rule of 72.

FAQ

Is the discount rate the same as the interest rate?
Related, but the discount rate is a required return that often adds a risk premium.
Can I use PV to compare a lump sum with an annuity?
Yes—compare the lump sum with the present value of the payment stream.

Sources reviewed: 2026-10-25

References

  1. Brealey, R. A., Myers, S. C., & Allen, F. (2020). Principles of corporate finance (13th ed.). McGraw-Hill.

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This article was last updated on October 26, 2026. It is based on widely recognized original works and textbooks; when citing it in a paper, please check the original sources listed in the references.