Federal Funds Rate Calculator

Calculate interest on federal funds lending and understand the Fed's monetary policy rate framework.

Note

Important Financial Disclaimer

This calculator provides estimates based on standard financial formulas from verified references. Results are for informational and educational purposes only and should not be considered as professional financial, investment, or tax advice.

For important financial decisions such as loans, investments, mortgages, retirement planning, or tax matters, please consult with qualified financial advisors, certified financial planners, or licensed tax professionals who can review your specific situation.

Calculations may not account for all variables specific to your circumstances, local regulations, or current market conditions. Always verify results and consult professionals before making financial commitments.

Not a substitute for professional financial advice

Federal Funds Details

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Federal Funds Rate is the rate banks charge each other for overnight loans of reserve balances. The Fed sets a target range and uses monetary policy tools to keep the effective rate within that range.

Interest for 1 Day(s)

$14,805.56

at 5.33% effective rate

Daily Interest
$14,805.56
Annual Interest
$5.33M

Target Range Analysis

5.25%5.38%5.50%

Effective rate is 0.04bps below midpoint

Related Rates

Target Range5.25% - 5.50%
Implied Prime Rate8.33%
Discount Window Rate6.00%
Interest on Reserves (IORB)5.50%

Fed Rate Framework

  • - FOMC sets target range (25bp wide)
  • - IORB: Top of range (ceiling)
  • - ON RRP: Bottom of range (floor)
  • - Discount Rate: 50bp above target
  • - Prime Rate: ~300bp above Fed Funds

What Is the Federal Funds Rate?

The federal funds rate is the interest rate at which depository institutions — banks, credit unions, and savings associations — lend reserve balances to each other on an overnight, uncollateralized basis. These loans settle through accounts at the Federal Reserve, and the rate charged is negotiated directly between the lending and borrowing banks.

Unlike most other interest rates in the economy, the federal funds rate is not set by fiat. The Federal Open Market Committee (FOMC) establishes a target range — typically 25 basis points wide — and then uses open market operations, the Interest on Reserve Balances (IORB) rate, and the Overnight Reverse Repurchase Agreement (ON RRP) facility to keep the effective federal funds rate (EFFR) within that corridor.

The EFFR is published each business day by the Federal Reserve Bank of New York and represents the volume-weighted median of overnight federal funds transactions reported by major brokers. It is arguably the most watched short-term interest rate benchmark in the world because it anchors the entire U.S. dollar interest rate curve.

Why do banks borrow from each other overnight? U.S. banks are required to maintain a certain level of reserves — balances held at the Fed or as vault cash. When a bank ends the day short of its required or desired reserve level, it borrows from another bank that has surplus reserves. The federal funds market is the mechanism that equilibrates this daily reserve supply and demand. Since March 2020, the Fed has maintained a zero reserve requirement for most deposit accounts, so borrowing in the federal funds market today is largely driven by balance-sheet management and liquidity preferences rather than regulatory mandates.

The federal funds rate matters far beyond the overnight interbank market. It directly influences the Prime Rate (historically Fed Funds + 3%), the Discount Window rate (typically 50 basis points above the top of the target range), adjustable-rate mortgages, home equity lines of credit, credit card APRs, and corporate borrowing costs. When the FOMC raises or lowers its target, ripple effects spread throughout the entire economy.

How the Federal Funds Rate Calculator Works

This federal funds rate calculator computes the dollar interest earned or paid on a given principal amount lent in the federal funds market over a specified number of days. It also surfaces derived metrics like the implied Prime Rate, the Discount Window rate, and the position of the effective rate within the FOMC's target range.

All federal funds interest is computed on an actual/360 day-count convention — meaning the year is treated as exactly 360 days regardless of whether it is a leap year. This is the market standard for most U.S. money-market instruments including commercial paper, Treasury bills (discount basis), and overnight repo.

Enter the lending amount (principal), the effective federal funds rate, the FOMC target range (low and high), and the number of days for the lending period. The calculator instantly shows the period interest, daily interest, annualized interest, and a visual indicator of where the effective rate sits within the target corridor.

Federal Funds Interest Formula (Actual/360)

Interest = Principal × Rate × (Days ÷ 360)

Where:

  • Interest= Dollar interest earned or paid for the lending period
  • Principal= Face amount of the overnight (or term) federal funds loan
  • Rate= Effective federal funds rate expressed as a decimal (e.g., 5.33% → 0.0533)
  • Days= Actual number of calendar days in the lending period
  • 360= Money-market day-count denominator (actual/360 convention)

Understanding the Fed's Target Range Framework

Since the 2008 financial crisis the Federal Reserve has operated a floor system for implementing monetary policy rather than the corridor system used historically. In a floor system the Fed pays interest on reserves held at the Fed (currently the IORB rate) and conducts overnight reverse repos (ON RRP) at a fixed rate, creating a floor beneath the effective federal funds rate.

The FOMC target range is always 25 basis points wide. The key rates in the current framework are:

  • ON RRP Rate (floor): The rate at which eligible counterparties can park cash overnight with the Fed. Sets the practical lower bound for the EFFR because no rational lender would accept less from a bank when the Fed offers this rate risk-free.
  • IORB Rate (ceiling): The rate the Fed pays banks on all reserve balances. Banks have little incentive to lend in the federal funds market at a rate below what the Fed pays, which keeps the EFFR from rising much above IORB. The calculator sets IORB equal to the top of the target range.
  • Effective Federal Funds Rate (EFFR): The actual market rate, published daily. It typically trades within the target range and near the IORB rate.
  • Discount Window Rate (Primary Credit Rate): The rate the Fed charges banks that borrow directly from the Fed's discount window. Historically set 50 basis points above the top of the target range, serving as an emergency backstop. The calculator uses: Discount Rate = Target High + 0.50%.

The position indicator in this calculator shows where the entered effective rate falls between the low and high bounds of the target range, expressed as a percentage of the range width. A reading near 100% means the rate is close to the ceiling (IORB), while a reading near 0% means it is close to the floor (ON RRP). In practice, the EFFR has consistently traded near the top of the range since 2021.

Monetary Policy, FOMC Decisions, and Market Impact

The FOMC meets eight times per year in scheduled meetings, plus occasionally in emergency sessions. Each meeting produces a policy statement announcing any change to the federal funds rate target range, updated economic projections (the "dot plot"), and guidance on the future path of rates. Financial markets worldwide move on these announcements, making FOMC day one of the highest-volatility sessions of the calendar year.

The Fed uses the federal funds rate as its primary lever for achieving its dual mandate: maximum employment and stable prices (defined as 2% average inflation over time). When inflation is elevated, the Fed raises the target range to increase borrowing costs, slow spending, and cool price pressures. When unemployment rises or growth weakens, the Fed cuts the target range to stimulate borrowing and investment.

The transmission from the overnight fed funds rate to the broader economy happens through several channels:

  • Bank lending channel: Higher fed funds rates raise banks' cost of funds, which they pass on to business and consumer borrowers through higher loan rates.
  • Asset price channel: Rising rates increase the discount rate applied to future cash flows, reducing equity valuations and bond prices (which move inversely to yields).
  • Exchange rate channel: Higher U.S. rates attract foreign capital, strengthening the dollar and making U.S. exports more expensive abroad.
  • Expectations channel: FOMC forward guidance shapes expectations for future rates, influencing long-term yields even before any actual rate change occurs.

For financial institutions, treasury departments, and fixed-income investors, the ability to accurately calculate federal funds interest on specific principal amounts and holding periods is essential for cash-flow forecasting, liquidity management, and evaluating the opportunity cost of deploying reserves versus leaving them at the Fed to earn IORB.

This federal funds rate calculator gives you an immediate, precise interest calculation plus a transparent view of the rate corridor — helping you understand not just the math, but the monetary policy context behind every number.

Worked Examples

Standard Overnight Lending — $100 Million

Problem:

A regional bank lends $100,000,000 in the federal funds market for 1 overnight day at the effective rate of 5.33%. What interest does the lending bank earn?

Solution Steps:

  1. 1Identify inputs: Principal = $100,000,000; Rate = 5.33% = 0.0533; Days = 1
  2. 2Apply the actual/360 formula: Interest = $100,000,000 × 0.0533 × (1 ÷ 360)
  3. 3Compute annual interest first: $100,000,000 × 0.0533 = $5,330,000 per year
  4. 4Divide by 360 to get one-day interest: $5,330,000 ÷ 360 = $14,805.56
  5. 5The lending bank earns $14,805.56 for one overnight loan of $100 million.

Result:

Overnight interest = $14,805.56

Seven-Day Term Federal Funds — $50 Million

Problem:

A bank arranges a 7-day term federal funds loan of $50,000,000 at 5.33%. How much interest accrues over the full term?

Solution Steps:

  1. 1Inputs: Principal = $50,000,000; Rate = 5.33% = 0.0533; Days = 7
  2. 2Calculate annual interest: $50,000,000 × 0.0533 = $2,665,000
  3. 3Calculate daily interest: $2,665,000 ÷ 360 = $7,402.78 per day
  4. 4Multiply by the 7-day term: $7,402.78 × 7 = $51,819.44
  5. 5The borrowing bank repays $50,051,819.44 at maturity ($50M principal + $51,819.44 interest).

Result:

7-day interest = $51,819.44

Monthly Equivalent — $250 Million at 5.25%

Problem:

A treasury manager wants to know how much a 30-day federal funds investment of $250,000,000 earns at the target range low of 5.25%.

Solution Steps:

  1. 1Inputs: Principal = $250,000,000; Rate = 5.25% = 0.0525; Days = 30
  2. 2Annual interest: $250,000,000 × 0.0525 = $13,125,000
  3. 3Daily interest: $13,125,000 ÷ 360 = $36,458.33 per day
  4. 430-day interest: $36,458.33 × 30 = $1,093,750.00
  5. 5This also equals the monthly figure via the formula shortcut: $13,125,000 ÷ 12 = $1,093,750.00 — confirming both approaches match.

Result:

30-day interest = $1,093,750.00

Implied Prime Rate from Fed Funds

Problem:

The FOMC target range is 5.25%–5.50% and the effective rate is 5.33%. What is the implied Prime Rate and the Discount Window rate?

Solution Steps:

  1. 1Implied Prime Rate = Effective Rate + 3.00% = 5.33% + 3.00% = 8.33%
  2. 2Discount Window Rate = Target High + 0.50% = 5.50% + 0.50% = 6.00%
  3. 3IORB Rate = Target High = 5.50%
  4. 4These relationships are structural constants built into the U.S. rate framework.

Result:

Prime Rate = 8.33% | Discount Rate = 6.00% | IORB = 5.50%

Tips & Best Practices

  • Always confirm whether a rate quote is the effective federal funds rate (market-determined) or the target midpoint — they can differ by several basis points.
  • Federal funds interest uses the actual/360 day-count convention; do not substitute 365 or you will understate the interest by about 1.4%.
  • The Prime Rate moves in lockstep with the fed funds target — every 25bp FOMC hike or cut translates directly into a 25bp change in Prime, immediately affecting variable-rate loans tied to Prime.
  • Quarter-end and year-end dates often push the effective rate below the midpoint of the target range as large banks shrink their balance sheets, creating brief lending opportunities.
  • The IORB rate (top of target range) is the benchmark risk-free return for a bank's excess reserves; any federal funds lending below IORB represents a below-market yield.
  • Monitor the NY Fed's daily EFFR publication to track how close the market rate is to the FOMC target — a persistent deviation can signal unusual reserve dynamics.
  • A steepening yield curve after Fed hikes often presents term lending opportunities: locking in higher rates for 7–30 days in the federal funds market before anticipated cuts.
  • Use the position-in-range indicator to gauge where monetary policy pressure is: a rate near the ceiling suggests tight reserves; near the floor suggests abundant liquidity.

Frequently Asked Questions

The federal funds rate is the interest rate at which banks lend reserve balances to each other overnight without collateral. The Federal Open Market Committee (FOMC) — a body within the Federal Reserve System — sets a target range for this rate eight times per year. The Fed does not directly set a single rate; instead it uses tools like IORB and ON RRP operations to keep the effective (market) rate within the target corridor.
Federal funds transactions follow the money-market convention of actual/360 day-count, where interest accrues over actual calendar days but the year is standardized to 360 days. This convention is also used for U.S. commercial paper, certificates of deposit, and many repo agreements. It means you earn slightly more interest than a true annual calculation would suggest, because dividing by 360 rather than 365 produces a higher daily rate.
The target rate (or target range) is the FOMC's policy objective — a publicly announced 25-basis-point corridor such as 5.25%–5.50%. The effective federal funds rate (EFFR) is the actual volume-weighted median rate of overnight transactions that occurred in the market on a given day, published daily by the NY Fed. The EFFR typically trades within the target range but can occasionally deviate slightly due to quarter-end or year-end balance-sheet pressures.
The federal funds rate indirectly drives borrowing costs throughout the economy. The Prime Rate — used to price home equity lines of credit (HELOCs), small business loans, and many credit cards — moves almost immediately when the FOMC changes its target (Prime is conventionally Fed Funds + 3%). Fixed mortgage rates are more influenced by long-term Treasury yields, but those yields also respond to expectations about the future path of the federal funds rate.
IORB is the rate the Federal Reserve pays banks on all reserve balances held in their Fed accounts, both required and excess. Since 2021 the Fed has set IORB equal to the top of the federal funds target range, making it the effective ceiling for the EFFR — banks have little incentive to lend in the fed funds market at a rate below what the Fed pays them to simply hold reserves. This calculator sets IORB equal to the Target High input.
No. The Federal Reserve reduced reserve requirements to zero in March 2020 and has kept them there. Banks no longer have a regulatory mandate to hold a minimum fraction of deposits as reserves. Borrowing in the federal funds market today is driven by voluntary liquidity management, balance-sheet optimization, and the desire to earn IORB rather than by any reserve requirement. The calculator retains the reserve concept in its framework display but uses a 0% reserve requirement in its math.
The Discount Window Primary Credit Rate is set by the Fed's Board of Governors (not the FOMC) and has traditionally been 50 basis points above the top of the federal funds target range. It is the rate banks pay to borrow directly from the Fed as a lender of last resort. Because it carries a stigma and costs more than the market rate, banks prefer the federal funds market. This calculator computes it as: Target High + 0.50%.

Sources & References

Last updated: 2026-06-05

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Sources

  • Reserve Bank of India (RBI) — Financial regulations, lending rates, and monetary policy guidelines. rbi.org.in
  • Consumer Financial Protection Bureau (CFPB) — Consumer finance guidelines, mortgage and loan disclosure standards. consumerfinance.gov
  • Securities and Exchange Board of India (SEBI) — Investment and securities market regulations. sebi.gov.in
  • Investopedia — Financial formulas, definitions, and educational content. investopedia.com

For a complete list of all references used across the site, visit our full sources page.

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: Fundamentals of Financial Management

by Brigham & Houston

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.