Money, Time and Interest · Lesson 1 of 2

What an interest rate is: the price of time

One concept: interest as the price of time

By — Founder, Kitalpha Finance · Passed Level I of the CFA Program
Published 17 September 2026 · 8 min

Why it matters

The newest FOMC brief on Kitalpha records a decision dated 2026-09-16: the committee said, "The Committee decided to raise the target range for the federal funds rate by 1/4 percentage point to 3-3/4 to 4 percent, in support of the Federal Reserve's dual mandate.". The two policy series on the markets pages hold the limits of that range as numbers, the lower limit and the upper limit. A reader who has just seen a headline about rates going up might ask whether the rate on their own loan moved by the same amount. Answering that needs one idea: what an interest rate is a price for, and who sets which one.

The concept

An interest rate is a price. What it prices is time: the use of someone else’s money for a period. A borrower who has US$1,000 today and repays US$1,050 a year later has paid US$50 for a year’s use of the money, and the rate on that loan is 5% per year. The “per year” is not decoration. Because interest is charged for a period, it is quoted per unit of time, so that a loan for three months and a loan for ten years can be compared on the same footing. Every yield on Kitalpha’s Treasury pages and every policy rate in a central-bank brief is written this way.

Why does the price exist at all? Lending means giving up the use of money now in exchange for getting it back later, and three things make that worth charging for. The lender forgoes whatever the money could have done in the meantime. The lender takes the risk that the borrower does not repay in full. And the lender takes the risk that prices rise before repayment, so that the money is worth less in goods when it comes back. Each of these pushes the price of time up or down for a given borrower and period, which is why there is not one interest rate but many.

Three rates appear again and again in the records, and they are worth telling apart. The first is a policy rate. In the United States the Federal Open Market Committee sets a target range for the federal funds rate, the rate at which banks lend reserves to one another overnight. The committee does not set the traded rate directly; it announces a range and the Federal Reserve steers the overnight market inside that range with the rates it administers. The effective federal funds rate is the rate actually traded, and it sits between the two limits. The second is a market yield. When the U.S. Treasury borrows, the price it pays is set by trading, and the Treasury par yield curve records that price for each maturity from one month to thirty years. A three-month bill yield sits near the policy range, because both price money for a short period from a borrower of the highest credit standing, but it is set by the market, not by the committee. The third is a retail rate: what a bank charges a household or a business. It sits above the other two because the bank adds its own costs, the borrower’s credit risk and a margin.

Reading a policy decision, then, is reading a change in one specific price, for one specific borrower, over one specific period. Whether a household’s loan rate moves, by how much, and when, depends on links in a chain that the decision itself does not describe. The number line below places the four figures from today’s records side by side; look for where the traded rate sits relative to the two limits, and where the bill sits relative to all three.

Four prices of time on one line Notice: The traded overnight rate sits between the two limits; the three-month bill sits near them but is a different borrower for a different period. A number line marks four rates in percent per year from the live records: the lower and upper limits of the FOMC's target range, the effective federal funds rate that banks actually traded overnight, and the yield on a three-month Treasury bill. The effective rate lies between the two limits. The bill yield lies close to the range but is set by the market, not by the committee. The table below lists each value. Source: Board of Governors of the Federal Reserve System via FRED · as of 2026-09-15 · Federal Funds Target Range — Upper Limit
Range lower limit: 3.50% Effective fed funds: 3.63% Range upper limit: 3.75% 3-month bill: 4.11%
Data table for the chart: Four prices of time on one line
ItemValue
Range lower limit3.50%
Effective fed funds3.63%
Range upper limit3.75%
3-month bill4.11%

Worked example

Take the two policy records: the upper limit and the lower limit of the target range, each as of 2026-09-15, beside the three-month bill yield of 4.11%. The steps below read the range as two numbers, measure its width in basis points, find its midpoint, and place the bill yield against it. Every figure is taken from the named record on the date shown.

Record: Federal Funds Target Range — Upper Limit · as of · Source: Board of Governors of the Federal Reserve System via FRED

  1. Upper limit of the target range, from the record 3.75%
  2. Lower limit of the target range, from the record 3.50%
  3. Width of the range, in basis points 25 bp One basis point is one hundredth of a percentage point.
  4. Midpoint of the range 3.625%
  5. 3-month Treasury bill yield minus the midpoint 0.49 pp A market yield for a three-month loan to the Treasury, set by trading, beside the range the FOMC set for overnight bank lending.

Two things to read off the steps. The range is a quarter of a percentage point wide, which is 25 basis points; a basis point is one hundredth of a percentage point, and rate changes are usually described in them. And the bill yield differs from the midpoint by the amount in the last line: close, because both are short-term prices for a top-rated borrower, but not equal, because one is a market price and the other a policy target. Neither figure is the rate on anyone’s mortgage.

Faded example

Now the third policy record: the effective federal funds rate, the overnight rate banks actually traded, as of 2026-09-14. The two limits are given below. Complete the last step: how far above the lower limit does the traded rate sit, in basis points?

Second record: Effective Federal Funds Rate · as of

  1. Lower limit of the target range3.50%
  2. Upper limit of the target range3.75%
  3. bp Tolerance ±1 bp

Reveal the answer and the explanation

13 bp — Subtract the lower limit from the effective rate and multiply by 100 to convert percentage points to basis points. The effective rate is the price banks actually paid each other; the Federal Reserve keeps it inside the range with the rates it administers, so the figure sits between the two limits rather than on either one.

Stored on this device only; not graded.

Retrieval check

Mark your confidence before each answer. Every option carries an explanation; read the ones you rejected too.

  1. 1. Using the two policy records, what is the width of the FOMC's target range in basis points? Enter a whole number.

    Source record: Federal Funds Target Range — Upper Limit (as of 2026-09-15)

    Before you answer: how confident are you?
    Tolerance ±0 bp
    Choose your confidence first.
  2. 2. The newest FOMC brief records a decision on the target range for the federal funds rate. That rate is the price of:

    Before you answer: how confident are you?
    Options
    Choose your confidence first.
  3. 3. A Treasury record quotes a yield as a percentage per year. The fact that every yield is quoted per year reflects that interest is:

    Before you answer: how confident are you?
    Options
    Choose your confidence first.
  4. 4. Order these three rates by who sets them, from the central bank to the individual lender.

    Before you answer: how confident are you?
    1. The target range for the federal funds rate
    2. The three-month Treasury bill yield
    3. A bank's rate on a personal loan
    Choose your confidence first.

Your summary

Stored on this device only. Not graded, never uploaded.