Money, Time and Interest · Lesson 1 of 6
What an interest rate is: the price of time
One concept: interest as the price of time
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 current limits of the target range as numbers, the lower limit and the upper limit. A reader who has just seen a headline about a rate decision 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 justify charging for it. 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 commands fewer 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 need 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 on almost every day 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 usually sits near the policy range, because both are short-term prices for money and a three-month loan is priced off the overnight rate over those three months, 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.
| Item | Value |
|---|---|
| Range lower limit | 3.75% |
| Effective fed funds | 3.88% |
| Range upper limit | 4.00% |
| 3-month bill | 4.16% |
Worked example
Take the two policy records: the upper limit and the lower limit of the target range, the upper limit as of 2026-09-17 and the lower limit as of 2026-09-17, beside the three-month bill yield of 4.16%. The steps below read the range as two numbers, measure its width in basis points, find its midpoint, place the bill yield against it, and then price a year’s use of US$1,000 at the bill’s quoted rate. Every figure is taken from the named record on the date shown.
Record: Federal funds target range, upper limit — Federal Reserve · as of · Source: Board of Governors of the Federal Reserve System, FOMC statement: target range for the federal funds rate, 3-3/4 to 4 percent (upper limit), decision of 16 September 2026, in effect from 17 September 2026, read 19 October 2026.
- Upper limit of the target range, from the record 4.00%
- Lower limit of the target range, from the record 3.75%
- Width of the range, in basis points 25 bp One basis point is one hundredth of a percentage point.
- Midpoint of the range 3.875%
- 3-month Treasury bill yield minus the midpoint 0.29 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.
- What a full year's use of US$1,000 costs at the bill's quoted rate US$41.60 The price of time made concrete: the quoted percentage per year, applied to one thousand dollars for one year.
Three things to read off the steps. The third step reads the width of the range in basis points; a basis point is one hundredth of a percentage point, and rate changes are usually described in them. The bill yield differs from the midpoint by the amount in the fifth line: usually close, because both are short-term prices for money, and rarely equal, because one is a market price and the other a policy target. And the last line is the concept itself: the quoted percentage, applied to a stated amount for a stated period, is a price in dollars for the use of that money over that time. Neither the range nor the bill 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 2026-10-15. The lower limit and the traded rate are given below. Complete the last step, which repeats the worked example’s width calculation for this pair: how far from the lower limit does the traded rate sit, in basis points?
Second record: Effective Federal Funds Rate — New York Fed · as of · Source: Federal Reserve Bank of New York, Effective Federal Funds Rate (EFFR), 15 October 2026, read 19 October 2026. The Effective Federal Funds Rate is subject to the Terms of Use posted at newyorkfed.org. The New York Fed is not responsible for publication of the Effective Federal Funds Rate by Kitalpha, does not sanction or endorse any particular republication, and has no liability for your use.
- Lower limit of the target range, from the record3.75%
- Effective federal funds rate, from the record (the rate banks actually traded overnight)3.88%
- 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, exactly as the width step did with the two limits. The effective rate is the price banks actually paid each other; the Federal Reserve keeps it inside the range on almost every day with the rates it administers, so the figure usually 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.
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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 — Federal Reserve (as of 2026-09-17)
Tolerance ±0 bpChoose your confidence first. -
2. Read the four records against the brief's decision line. Which statement is true of them?
Choose your confidence first. -
3. Using the three-month bill record's quoted annual yield, what does a full year's use of US$1,000 cost at that price? Enter dollars to two decimals.
Source record: 3-Month Treasury Par Yield (as of 2026-10-30)
Tolerance ±0.01 US$Choose your confidence first. -
4. Order these three rates by who sets the figure, from the one the FOMC decides to the one set furthest from the committee, first to last.
- The target range for the federal funds rate
- The three-month Treasury bill yield
- A bank's rate on a personal loan, set by the lender
Choose your confidence first.