What it means
A dollar received next year is worth less than a dollar today, because the money in hand can earn interest and because the future is uncertain. Discounting is the process of shrinking a future amount to reflect this.
The discounted payoff is the answer: the amount you would be willing to pay today in exchange for the future payoff. The discount rate is the key input.
It usually reflects the return available on safe investments plus an extra margin for risk, so a risky payoff is discounted more heavily than a safe one. A small change in the rate can move the discounted payoff a lot when the payoff is far in the future.
In derivatives, the payoff is the amount an option or other contract delivers at expiry, which depends on the price of the underlying asset. Analysts estimate the payoff under many possible outcomes, average them, and discount the result to get the fair value today.
This method sits behind many option pricing models. In everyday business, the same idea is used to value lawsuit settlements, deferred payments, earn-outs in company sales and structured contracts.
A seller offered $500,000 in three years instead of cash today needs to know what that promise is worth now. A discounted payoff gives a fair basis for comparing the two.
A nuance is that the answer depends on choices that are open to argument. A different discount rate, a different timing or a different view of the chance that the payoff is actually received will change the result.
For that reason, good analysts show the figure under more than one set of assumptions. Presentation also matters when the figure is shared with non-specialists.
A manager is more likely to trust a discounted payoff if the report shows the original amount, the timing, the rate and the resulting value side by side. Showing the steps lets others challenge the assumptions rather than simply accept the answer.
In practice
Real-world examples.
Example
A seller of a small business is offered $400,000 now or $484,000 in two years. Using a 10% discount rate, the delayed payment is worth $484,000 / 1.21 = $400,000 today. The two offers are equal, so the seller chooses based on risk.
Example
An options trader models the possible payoffs of a contract that expires in one year. She averages the outcomes, then discounts the result at the risk-free rate to estimate fair value. The figure becomes her reference price when buying or selling.
Example
An insurance company agrees to pay a claimant a structured settlement over several years. The finance team discounts each future payment to today's value to set aside the right reserve. The reserve is reviewed whenever interest rates change.
Formula
Calculation
Discounted payoff = future payoff / (1 + discount rate) ^ years
A company expects to receive a settlement payment of $242,000 in 2 years, and it uses a discount rate of 10% a year. Discounted payoff = $242,000 / (1.10 x 1.10) = $242,000 / 1.21 = $200,000. If the other side offered $190,000 in cash today, the company would be better off waiting, since the future payoff is worth $200,000 in today's terms, or $10,000 more.Case study
Seen in the real world.
Kestrel Marine is an illustrative, fictional shipping broker that sold a minority stake in its business with an earn-out, a payment contingent on future results. The buyer promised $660,000 in three years if revenue targets were met.
The finance manager discounted the payoff at 10% a year to value the receivable. The calculation was $660,000 / 1.331 = $495,868, and because the target was judged only 80% likely to be met, the expected value in today's terms was 0.8 x $495,868 = $396,694.
The firm recorded the earn-out at that lower figure, rather than the headline $660,000. The illustrative lesson is that a promised payoff must be adjusted both for time and for the chance that it is never received.
Watch out
Common mistakes.
- Using the full future amount in today's decisions, when it should be reduced for the time value of money.
- Using a discount rate that ignores risk, which makes uncertain payoffs look more valuable than they are.
- Forgetting that timing matters, when a payoff received a year later is worth noticeably less in present terms.
Questions
People also ask.
What discount rate should I use?
Use a rate that reflects the return on safe investments plus a premium for the riskiness of the payoff, and test your result at a few different rates.
Is a discounted payoff the same as a net present value?
Not quite. A discounted payoff is the present value of one amount, while net present value combines the discounted inflows and outflows of a project.
Does a higher discount rate raise or lower the answer?
It lowers it, because each future dollar is reduced by more.
From the founder's library
Take it further with the book.
Build your financial confidence beyond this definition. Shihan's full-length guide, Accounting Fundamentals, takes the same plain-English approach and turns it into a complete, practical playbook for non-finance managers, business owners and students - with chapter-end quiz answers and presentation slides included.
25% off with code MMHQ25, applied at checkout. Priced in USD - checkout may show the equivalent in your local currency.
View the book and save 25%Related