Interest rate futures are the most actively traded futures contracts in the world, with daily volumes exceeding millions of contracts on the CME. They allow institutions to hedge and speculate on movements in Treasury bond yields and benchmark overnight rates like SOFR. Whether you manage a bond portfolio, trade fixed income, or study derivatives, understanding interest rate futures — including Treasury bond and note futures, the cheapest-to-deliver mechanism, and SOFR futures — is essential. This guide covers how they work, how to use them for duration-based hedging, and where they differ from forward rate agreements (FRAs).

What Are Interest Rate Futures?

Interest rate futures are futures contracts whose value is derived from an underlying interest rate instrument. They trade on regulated exchanges with standardized terms, daily margining, and central clearing — substantially reducing counterparty credit risk.

Key Concept

Interest rate futures fall into two broad categories: bond futures (T-bond and T-note futures) based on actual U.S. Treasury securities, and short-term rate futures (SOFR futures) based on benchmark overnight lending rates. Bond futures are physically delivered, while SOFR futures are cash-settled.

These contracts serve two primary purposes. Hedgers — pension funds, banks, insurance companies — use them to manage interest rate risk in their bond portfolios. Speculators use them to express views on the direction of interest rates without owning the underlying bonds.

Treasury Bond and Note Futures

The CME Group lists several Treasury futures contracts, each tied to a different segment of the yield curve. All settle by physical delivery of eligible Treasury securities — the short position chooses which bond to deliver.

Contract Eligible Maturity Face Value Tick Size Settlement
T-Bond 15+ years $100,000 1/32 ($31.25) Physical delivery
10-Year T-Note 6.5 – 10 years $100,000 1/64 ($15.625) Physical delivery
5-Year T-Note 4 yr 2 mo – 5 yr 3 mo $100,000 1/4 of 1/32 ($7.8125) Physical delivery
2-Year T-Note 1 yr 9 mo – 2 years $200,000 1/8 of 1/32 ($7.8125) Physical delivery

All Treasury futures follow quarterly delivery months: March, June, September, and December. Prices are quoted in points and fractions of 32nds. For example, a 10-year T-note futures price of 110-16 means 110 + 16/32 = 110.50% of face value, or $110,500 per contract.

Conversion Factor and Cheapest-to-Deliver

Because many different Treasury bonds are eligible for delivery against a single futures contract, the CME uses a conversion factor (CF) to adjust the delivery price. The CF approximates the price of each eligible bond if it yielded exactly 6%.

Invoice Price at Delivery
Invoice Price = Futures Settlement Price × CF × $1,000 + Accrued Interest
The amount the long position pays the short position upon delivery. The $1,000 multiplier applies to T-Bond, 10-Year, and 5-Year contracts ($100K face); the 2-Year uses $2,000 ($200K face).

The cheapest-to-deliver (CTD) bond is the eligible security that maximizes the short position’s delivery profit — or minimizes their loss. The short compares the invoice price they receive to each bond’s market price:

Delivery Profit = Invoice Price − Market Price

The bond with the highest delivery profit (or lowest delivery loss) is the CTD. Since the futures price tracks the CTD bond most closely, the CTD bond’s duration effectively determines the interest rate sensitivity of the futures contract.

Pro Tip

When yields are above 6%, the CTD tends to be the longest-duration eligible bond (low coupon, long maturity). When yields are below 6%, the CTD tends to be the shortest-duration eligible bond. This is a general tendency, not an absolute rule — coupon rates and the shape of the yield curve also influence CTD selection.

SOFR Futures

SOFR (Secured Overnight Financing Rate) futures replaced Eurodollar futures following the discontinuation of LIBOR in 2023. Unlike Treasury futures, SOFR futures are cash-settled — no physical bonds change hands. They reference the overnight Treasury repo rate published daily by the Federal Reserve Bank of New York.

Contract Notional DV01 Settlement Method
3-Month SOFR $1,000,000 $25 per basis point Compounded daily SOFR over the reference quarter
1-Month SOFR $5,000,000 $41.67 per basis point Arithmetic average of daily SOFR over the month

SOFR futures are quoted as 100 minus the implied rate. If the market expects a 3-month compounded SOFR of 4.50%, the futures price is 95.50. A one-basis-point move in the 3-month contract equals $25, so a 100-basis-point move equals $2,500.

The strip of consecutive SOFR futures contracts is widely used to construct the term SOFR curve, which serves as the benchmark for pricing floating-rate loans, interest rate swaps, and other derivatives.

Interest Rate Futures Example

Hedging a Treasury Portfolio

A portfolio manager holds $10 million in Treasury bonds with a modified duration of 7.5. She expects rates to rise 50 basis points and wants to fully hedge the portfolio using 10-year T-note futures.

Given:

  • Portfolio value (VP) = $10,000,000
  • Portfolio duration (DP) = 7.5
  • Futures price = 110-16 = 110.50, so VF = $110,500 per contract
  • CTD bond duration (DCTD) = 6.2

Hedge ratio:

N = (DP × VP) / (DCTD × VF) = (7.5 × $10,000,000) / (6.2 × $110,500) = 75,000,000 / 685,100 = 109.5 ≈ 110 contracts (short)

Verification (50bp rate rise):

  • Portfolio loss ≈ 7.5 × 0.005 × $10,000,000 = $375,000
  • Futures gain ≈ 110 × 6.2 × 0.005 × $110,500 = $376,805
  • Net P&L ≈ +$1,805 (effectively hedged)

Duration-Based Hedging with Rate Futures

The full hedge above targets a duration of zero. More commonly, portfolio managers want to adjust their duration — reducing it when they expect rising rates or increasing it when they expect falling rates. Because the futures price already reflects the CTD relationship (futures price ≈ CTD price / conversion factor), using VF as the futures contract value implicitly accounts for the conversion factor in these formulas. The general formula is:

Duration Adjustment Hedge Ratio
N = −(Dtarget − Dcurrent) × VP / (DCTD × VF)
Positive N = short futures (reduces duration). Negative N = long futures (increases duration).
Reducing Duration from 7.5 to 5.0

Using the same portfolio and futures from the previous example, the manager wants to reduce duration from 7.5 to 5.0:

N = −(5.0 − 7.5) × $10,000,000 / (6.2 × $110,500) = 2.5 × $10,000,000 / $685,100 = 36.5 ≈ 36 contracts (short)

Verification (100bp rate rise):

  • Portfolio loss ≈ 7.5 × 0.01 × $10,000,000 = $750,000
  • Futures gain ≈ 36 × 6.2 × 0.01 × $110,500 = $246,636
  • Net loss = $750,000 − $246,636 = $503,364
  • Effective duration = $503,364 / ($10,000,000 × 0.01) = 5.03 ≈ 5.0 ✓
Important Caveat

The duration-based hedge ratio is an approximation that assumes a parallel shift in the yield curve. In practice, the CTD bond can shift as rates move, materially changing the futures contract’s DV01 and requiring hedge rebalancing. Non-parallel yield curve movements (e.g., flattening or steepening) introduce additional key-rate risk that a simple duration hedge does not capture.

For a deeper understanding of duration and convexity — the two key inputs to any fixed income hedge — explore our course:

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Interest Rate Futures vs FRAs: Key Differences

Both interest rate futures and forward rate agreements (FRAs) allow you to lock in a future interest rate. However, they differ in several important ways:

Interest Rate Futures

  • Exchange-traded with central clearing
  • Standardized contract sizes and dates
  • Daily mark-to-market settlement (margin calls)
  • Convexity bias — overstates forward rates
  • Extremely liquid (billions in daily volume)
  • No counterparty credit risk

Forward Rate Agreements

  • OTC (though increasingly centrally cleared)
  • Customizable notional, start date, and tenor
  • Single cash settlement at expiry
  • No convexity bias
  • Less liquid than exchange-traded futures
  • Counterparty risk (reduced if cleared)

The convexity adjustment is a key distinction. Because futures are marked to market daily, gains and losses are realized immediately. When rates rise, futures margin payments increase (unfavorable for longs) and can be reinvested at higher rates (favorable for shorts). This asymmetry means futures rates slightly overstate the equivalent forward rate:

Forward Rate ≈ Futures Rate − ½σ²T1T2

Where σ is the volatility of the short-term rate, T1 is the time to futures expiration, and T2 is the time to the end of the rate period. This adjustment is model-dependent and grows larger for longer-dated contracts.

Common Mistakes

1. Ignoring the cheapest-to-deliver option. Many practitioners use a generic bond’s duration rather than the CTD bond’s duration when calculating hedge ratios. Since the futures contract tracks the CTD, using the wrong duration leads to over- or under-hedging.

2. Forgetting the convexity adjustment for SOFR futures. When extracting implied forward rates from SOFR futures prices, failing to subtract the convexity adjustment leads to forward rates that are systematically too high — an error that compounds across the term structure. (Note: Treasury bond futures have separate pricing nuances driven by the delivery option and CTD mechanics rather than the simple ½σ²T1T2 adjustment.)

3. Omitting the conversion factor in hedge calculations. The conversion factor links the futures price to the CTD bond’s value. Using the raw futures price without accounting for the CF can produce a materially wrong hedge ratio.

4. Treating T-bond and T-note futures as interchangeable. T-bond futures reference 15+ year maturities while 10-year T-note futures reference 6.5-10 year maturities. Their DV01s, durations, and CTD dynamics are very different — using the wrong contract can leave large unhedged exposure.

5. Assuming duration hedges work for all yield curve moves. Duration-based hedging assumes a parallel shift in the yield curve. If the curve steepens, flattens, or twists, a hedge that matches overall duration can still lose money due to key-rate mismatches between the portfolio and the futures contract.

Limitations

Key Limitations

Interest rate futures are powerful hedging tools, but they are not perfect. Understanding these limitations is essential for effective risk management.

  • CTD switching risk: As rates move, the cheapest-to-deliver bond can change, abruptly shifting the futures contract’s effective duration and DV01. Hedgers must monitor and rebalance accordingly.
  • Basis risk: The bonds in your portfolio may not match the CTD bond’s characteristics. Differences in coupon, maturity, and credit quality create basis risk that the futures hedge does not eliminate.
  • Convexity adjustment uncertainty: The convexity adjustment depends on the interest rate model used (Ho-Lee, Hull-White, etc.) and is only an approximation. Different models produce different adjustments.
  • Non-parallel curve risk: Duration hedging assumes all rates shift by the same amount. Yield curve flattening, steepening, or butterfly movements can cause hedged portfolios to still experience P&L volatility.
  • Liquidity concentration: Trading volume is heavily concentrated in the nearest contract months. Back-month contracts may have wider bid-ask spreads and thinner order books.
  • Daily settlement cash flows: Unlike FRAs that settle once, futures require daily margin payments. This creates cash flow volatility and potential funding costs that affect the total hedge cost.

Interest rate futures are closely related to commodity futures in their exchange-traded structure and margining conventions, and to options on futures for strategies that combine directional hedging with optionality.

Explore the Fixed Income Investing Course

Frequently Asked Questions

The cheapest-to-deliver (CTD) bond is the eligible Treasury security that maximizes the delivery profit for the short position. At delivery, the short receives an invoice price (futures settlement price times the bond’s conversion factor, plus accrued interest) and delivers the bond at its market price. The CTD is whichever bond produces the largest positive difference — or smallest negative difference — between these two amounts. The CTD typically shifts as interest rates change, which is why hedgers must monitor their positions regularly.

Treasury bond and note futures (T-bond, 10-year, 5-year, and 2-year) settle by physical delivery — the short position delivers actual Treasury securities to the long position. In contrast, SOFR futures are cash-settled based on the realized SOFR rate over the reference period. In practice, the vast majority of Treasury futures positions are closed before delivery — historically, fewer than 2% of contracts go to physical delivery.

Eurodollar futures were based on LIBOR, which was discontinued in 2023 after the rate-rigging scandal revealed that LIBOR submissions were based on estimates rather than actual transactions. SOFR is based on actual overnight Treasury repurchase agreement (repo) transactions — over $1 trillion in daily volume — making it a more robust and transparent benchmark. The CME completed the transition by converting remaining Eurodollar open interest to SOFR futures.

Use the duration-based hedge ratio: N = (Dportfolio × Portfolio Value) / (DCTD × Futures Contract Value). For example, a $10 million portfolio with duration 7.5, hedged with 10-year T-note futures priced at 110.50 (CTD duration 6.2), requires approximately 110 contracts. To partially reduce duration rather than fully hedge, use the modified formula: N = −(Dtarget − Dcurrent) × Portfolio Value / (DCTD × Futures Value).

Yes, individual investors can trade interest rate futures through a futures brokerage account, though the standard contracts are large ($100,000 or $200,000 face value). The CME offers Micro Treasury futures (1/10 the size of standard contracts) for smaller accounts. However, most individual investors gain interest rate exposure through Treasury ETFs, bond mutual funds, or interest rate ETFs rather than trading futures directly, as futures require active margin management and position monitoring.

Disclaimer

This article is for educational and informational purposes only and does not constitute investment advice. Contract specifications, pricing conventions, and market data cited are approximate and may change. Interest rate futures involve significant risk and are not suitable for all investors. Always conduct your own research and consult a qualified financial advisor before trading futures or making investment decisions.