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Discount Rate

A discount rate is the annual rate used to convert future dollars into today's dollars. The same two words also name three unrelated rates in American finance, including a Federal Reserve lending rate and a Treasury bill pricing convention, so the first question about any discount rate is which one it is.

Last reviewed by Steven Fox, CFP®, EA on

Quick Summary

  • In present-value arithmetic it is the conversion rate between a future dollar and a present one. Federal benefit-cost guidance defines it as "the interest rate used in calculating the present value of expected yearly benefits and costs."
  • It is an assumption, not an observation. Nobody publishes the right one, and the higher the rate, the less any future amount is worth today.
  • The Federal Reserve's discount rate is a completely different thing: the rate a bank pays to borrow from a Reserve Bank.
  • A Treasury bill auction also reports a discount rate, and that one is a pricing convention computed against face value rather than a present-value rate at all.
  • A real rate belongs with amounts stated in today's dollars and a nominal rate with amounts that include future inflation. Mixing them is the most common mechanical error.

Definition

A discount rate is the rate at which future amounts of money are reduced to express what they are worth today. Office of Management and Budget Circular A-94 defines it in one line: "Discount Rate. The interest rate used in calculating the present value of expected yearly benefits and costs." The higher the rate, the less a future amount is worth now, because a higher rate means less money would have to be set aside today to reach that future sum.

Explaining the naming matters more here than on almost any other page, because the phrase is genuinely ambiguous rather than merely loose. At least four unrelated rates are called a discount rate in American finance: the present-value rate described above, the Federal Reserve's discount-window rate that banks pay to borrow from a Reserve Bank, the discount rate reported at a Treasury bill auction, which is a pricing convention rather than a present-value rate, and the actuarial rate a pension plan uses to state today's value of benefits it has promised to pay decades from now. This page is about the first and about telling them apart. Circular A-94 also keeps one closely related term separate, and it is worth not conflating: the discount factor is the multiplier, "equal to 1/(1 + i)t where i is the interest rate and t is the number of years from the date of initiation for the program or policy until the given future year." The rate is the input; the factor is what the rate produces.

Advanced Explanation

The four senses, briefly, so a reader who arrived from the wrong one can leave. The present-value sense is the subject of this page: an assumed annual rate applied to future dollars to state them in today's money. The Federal Reserve sense is a bank borrowing rate, the primary credit rate charged at a Reserve Bank's discount window; 12 U.S.C. 357 is its statutory authority and speaks of "rates of discount to be charged by the Federal reserve bank for each class of paper," established by each Reserve Bank "subject to review and determination of the Board of Governors of the Federal Reserve System." It has nothing to do with converting future dollars into present ones, and the federal funds rate page carries it. The Treasury bill sense is a price convention, and it too is codified, in the Treasury regulation governing its own auctions: 31 CFR 356.2 provides that "discount rate means a rate of return, on an annual basis, on bills held until they mature," that it "is expressed in percentage terms and based on a 360-day year," and that it "is also referred to as the 'bank discount rate.'" The regulation's own price formula applies that rate to face value, so the figure is a pricing basis rather than a present-value rate and is not directly comparable to one; the treasury bill page carries the arithmetic. The actuarial sense is a present-value rate with an institutional consequence, described below.

A real rate belongs with real amounts and a nominal rate with nominal amounts, and the pairing is not optional. Circular A-94 states the rule directly at section 8.a: "A real discount rate that has been adjusted to eliminate the effect of expected inflation should be used to discount constant-dollar or real benefits and costs," while "a nominal discount rate that reflects expected inflation should be used to discount nominal benefits and costs. Market interest rates are nominal interest rates in this sense." That last sentence is the trap: quoted market rates already contain expected inflation, so applying one to a figure stated in today's purchasing power removes inflation twice and understates the answer. The circular adds the practical approximation: "a real discount rate can be approximated by subtracting expected inflation from a nominal interest rate."

Nobody publishes the correct rate, and the choice moves the answer more than most people expect. A Federal Reserve Board economist made exactly this point in a 2014 FEDS Note on equity valuations, building a simple constant-growth present-value framework and concluding that "even a fairly modest decline in discount rates of 1 percentage point can have a marked effect on valuation ratios," so an elevated valuation "may not necessarily be an indicator of an overvalued market, but instead a reflection of a change in discount rates." The general reading holds outside equities: over long horizons the rate, not the cash flows, usually dominates the result. Which is why a present value or a net present value quoted as a single number, without the rate beside it, cannot be evaluated.

The actuarial sense is where the choice has the largest institutional consequences. A pension plan's promised benefits are future payments, so stating what they cost today requires a discount rate, and the same promise looks smaller at a higher rate and larger at a lower one. Because the reported size of the obligation drives contributions and funded-status disclosures, the rate is prescribed rather than left open in the places it matters most: the Pension Benefit Guaranty Corporation publishes the interest assumptions used to value annuities in terminating single-employer plans, alongside the mortality tables that go with them, and pension liability figures computed at different rates are not comparable even for the same plan in the same year. The relevant instinct for a reader meeting a funded-status headline is to ask what rate produced it before asking whether the number is alarming.

What actually goes into a household's choice. Two considerations, and both are judgments. The first is opportunity cost: what the money would realistically earn in its next-best use, which sets a floor. The second is certainty: a guaranteed payment deserves a rate near a safe interest rate, while an uncertain one deserves a higher rate, which is the arithmetic way of saying a shaky promise is worth less. The discipline that follows is to run the calculation at more than one rate and see whether the conclusion survives, rather than to hunt for the one right rate, which does not exist.

How to Remember

A discount rate is the price of waiting. Raise it and the future gets cheaper; lower it and the future gets expensive. And before using one, check which discount rate somebody means: a Reserve Bank charges one, a Treasury auction reports one, and neither converts future dollars into present ones.

Used in a Sentence

“The actuary's report valued the same promised benefits at two different discount rates, and the gap between the two figures was larger than the annual contribution.”

How It Works

Pick a rate, decide whether the amounts you are discounting are stated in today's purchasing power or in future dollars, and match the rate to that choice. Then discount, and repeat at a second rate to see how much of the answer was the assumption.

A hypothetical example of the real-versus-nominal mistake, which is the one worth being able to spot. A settlement is expected to pay $50,000 in ten years, and the figure has been expressed in today's dollars, meaning the inflation between now and then has already been taken out of it.

Discounted correctly, at a real rate of 3 percent, it is worth $37,204.70 today.

Discounted at a nominal rate of 6 percent, because that is the rate a quoted market instrument happens to be paying, it comes out at $27,919.74.

The second figure understates the settlement by about $9,284.96, roughly a quarter of its value, and nothing in either calculation looks wrong on the page. The error is that inflation was removed twice: once when the amount was put into today's dollars, and again by a rate that already contained an inflation expectation. The fix is not to pick a different number but to make the two halves agree, either a real rate against a real amount or a nominal rate against a nominal one.

Pros and Cons

Pros

  • Makes amounts arriving at different times genuinely comparable, which is the only honest way to weigh a lump sum against a stream.
  • Lets certainty be priced explicitly: a shakier promise gets a higher rate and therefore a lower value today.
  • Reporting a result at two or three rates converts a hidden assumption into a visible one, and is standard practice in federal analysis for that reason.

Cons

  • It is an assumption, and over long horizons it can dominate the result more than the cash flows being discounted.
  • The name is genuinely ambiguous, so figures and rules stated for one sense get misapplied to another.
  • Real and nominal versions are easy to mix, and the resulting error looks like a correct calculation.
  • Whoever chooses the rate influences the answer, and in a buyout offer, a settlement, or a funded-status disclosure that party is usually not the reader.

People Also Asked

Answers to the most frequently asked questions.

Is the Federal Reserve's discount rate the same as a discount rate in present value?
No, and they are not even the same kind of thing. The Federal Reserve's discount rate is the primary credit rate a bank pays to borrow from a Reserve Bank's discount window, authorized by 12 U.S.C. 357 and approved by the Board of Governors. A present-value discount rate is an assumption used to convert future dollars into today's dollars. They share a name and nothing else.
What is the difference between a real and a nominal discount rate?
A nominal rate includes expected inflation and belongs with amounts stated in future dollars. A real rate has inflation stripped out and belongs with amounts stated in today's purchasing power. Federal guidance requires the two to be matched, and notes that a real rate can be approximated by subtracting expected inflation from a nominal one. Applying a nominal rate to a real amount removes inflation twice and understates the answer.
Why does a Treasury bill auction report a discount rate?
Because bills are sold at less than face value rather than paying interest, so the auction result is expressed as the discount from face. Treasury's own auction regulation defines that figure as a rate of return on an annual basis "based on a 360-day year," also called the bank discount rate, and its price formula applies the rate to face value. That makes it a pricing convention rather than a present-value rate, and it is not directly comparable to the bill's investment rate or to a discount rate used in discounting.
What discount rate should I use for my own calculation?
There is no published correct answer, which is itself the useful fact. The rate should reflect what the money would realistically earn in its next-best use, raised if the future payment is uncertain. Because the choice can change a conclusion, the standard discipline is to run the calculation at two or three plausible rates and act on the answer only if it holds across them.
Why do pension liabilities depend on the discount rate?
Because a pension promise is a stream of future payments, and stating what it is worth today requires discounting. A higher rate makes the same promised benefits look smaller and the plan look better funded; a lower rate does the opposite. That is why the rate is regulated rather than left entirely to the sponsor for the purposes where the number carries legal consequences, and why two funded-status figures computed at different rates cannot be compared.

Sources

AdviceOnly maintains high editorial standards to improve the quality and accuracy of our educational content. Content is written with the assistance of artificial intelligence tools following a rigorous quality assurance process, and periodically reviewed by credentialed and experienced human financial advisors. References used include government data, academic papers, interviews with industry experts, and reputable primary sources. You can learn more about our efforts to produce accurate content in our editorial policy.

  1. Office of Management and Budget. "Circular No. A-94, Guidelines and Discount Rates for Benefit-Cost Analysis of Federal Programs."
  2. U.S. Code. "12 U.S.C. § 357 — Establishment of rates of discount."
  3. U.S. Department of the Treasury, Bureau of the Fiscal Service. "31 CFR 356.2 — What definitions do I need to know to understand this part?"
  4. Warusawitharana, Missaka. "The Rise in Equity Valuation Ratios." FEDS Notes, Board of Governors of the Federal Reserve System, January 6, 2014.
  5. Pension Benefit Guaranty Corporation. "Interest Rates."

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