Bond Futures

Bond futures are standardized futures contracts linked to government notes, bonds, or another specified fixed-income exposure. In a physically deliverable contract, the short can satisfy delivery using an eligible security from a defined basket, with an exchange conversion factor adjusting the invoice amount. Portfolio managers use bond futures to change duration or yield exposure without immediately trading every cash bond.

Bond futures are a type of Interest Rate Futures, but their deliverable-basket and cheapest-to-deliver mechanics require separate analysis.

Key Takeaways

• Bond-futures prices generally fall when the relevant yields rise and rise when yields fall.
• A deliverable contract may allow several eligible securities; the short controls delivery choice under the rules.
• Conversion factors adjust invoice prices but do not make every eligible security economically identical.
• The cheapest-to-deliver (CTD) security usually drives the futures contract’s price sensitivity and DV01.
• A duration hedge sized only by market value can fail; DV01, yield-curve exposure, basis, and CTD-switch risk matter.
• Margin is collateral supporting daily settlement, not the contract price or maximum possible loss.
• Current exchange rules control the deliverable basket, quote convention, contract size, notice process, and delivery timeline.

Price and Yield Direction

A fixed-rate bond’s price generally moves inversely to its yield. Bond futures inherit that broad relationship:

The relationship is not one-for-one across maturities. A portfolio’s credit spread, curve exposure, optionality, and liquidity can move independently of the government-bond future used as a hedge.

Reading a Bond Futures Quote

Bond futures can use price conventions that differ from ordinary decimal quotations. Some government-bond contracts are quoted in points and fractions of a point, while others use decimal prices or yield-based formats.

For a hypothetical contract quoted in points and thirty-seconds:

1112-16 = 112 + 16/32 = 112.50 price points

If the contract represents $100,000 of par value, one full price point corresponds to $1,000 before any contract-specific adjustment:

1$100,000 x 1/100 = $1,000 per full price point

The minimum tick may be a fraction of one thirty-second rather than a full thirty-second. The exchange specification controls the display, tick size, tick value, and rounding. Software can also display the same economic quote in a different format, so the trader should convert a sample quote to money value before sizing a position.

Deliverable Basket and Conversion Factors

Many government bond futures specify a basket of securities that satisfy maturity, coupon, and other delivery requirements. The securities have different coupons and maturities, so the exchange publishes a conversion factor for each eligible issue.

When the futures price is quoted per 100 of par, a simplified invoice amount is:

where:

• P_F is the futures settlement price;
• CF is the delivered security’s conversion factor; and
• accrued interest compensates the delivering party for coupon interest earned since the last payment date.

The contract specification controls rounding, delivery timing, eligible securities, and invoice details.

Invoice Example

Assume:

• futures settlement price: 112.00 per 100 of par;
• conversion factor: 0.9000;
• contract par amount: $100,000; and
• accrued interest: $1,200.

The long pays the invoice amount and receives the eligible security under the delivery process. A trader who plans to offset rather than deliver still needs to understand these economics because they influence futures pricing before expiry.

Cheapest to Deliver

The cheapest-to-deliver security is the eligible bond that is economically least costly for the short to acquire and deliver after considering:

• cash price;
• conversion factor;
• accrued interest;
• financing or repo rate;
• coupon cash flows;
• delivery date and timing options; and
• transaction and balance-sheet costs.

A common comparison begins with gross basis:

Practitioners then adjust for financing carry and coupon economics to compare net basis or implied repo returns. The exact convention and units must be stated.

The CTD security can change as yields, repo rates, cash prices, or time to delivery change. A CTD switch changes the futures contract’s effective duration and hedge behavior.

Worked Example: Comparing CTD Candidates

Assume a hypothetical futures price of 112.00 and two eligible bonds:

The gross-basis calculations are:

Bond A has the lower gross basis in this simplified snapshot. That makes it a candidate for CTD, not a definitive conclusion. A proper comparison includes accrued interest, coupon receipts, reinvestment, repo financing, settlement dates, delivery options, transaction costs, and consistent price timing.

Practitioners often compare implied repo rates because that framework incorporates the cash flows from buying an eligible bond, financing it, selling the future, and delivering the bond. The result depends on executable funding and delivery assumptions; a stale cash price paired with a live futures price can produce a false ranking.

Futures DV01

DV01 measures the approximate dollar change in value for a one-basis-point yield move. For a deliverable bond future, a common approximation is:

The result depends on which security is CTD and on the measurement convention. Forward versus spot DV01, delivery timing, convexity, and CTD-switch possibilities can change the estimate.

For example, if the assumed CTD has a forward DV01 of $56 per contract unit and a conversion factor of 0.8000, the approximate futures DV01 is:

If another security becomes CTD, its DV01 and conversion factor can produce a different contract sensitivity. A hedge ratio calculated once and left unchanged can therefore drift even if the cash portfolio does not change.

Worked Duration-Hedge Example

Assume a bond portfolio has a DV01 of $7,000: its value is expected to decline by about $7,000 if its relevant yield curve rises by one basis point. Suppose one bond futures contract has an estimated futures DV01 of $70.

The first-pass hedge ratio is:

A manager seeking to reduce the portfolio’s long-duration exposure would sell about 100 contracts. For a parallel one-basis-point yield increase:

• estimated portfolio loss: $7,000;
• estimated short-futures gain: 100 x $70 = $7,000; and
• simplified net rate effect: approximately zero before basis, spread, curve, carry, margin, and transaction effects.

This is a starting estimate, not a guaranteed hedge. If the portfolio contains corporate, mortgage, callable, foreign-currency, or different-maturity bonds, its behavior can diverge substantially from the government futures contract.

Margin and Daily Cash Settlement

Bond futures are marked to market. An adverse daily move reduces account equity, while a favorable move increases it. The clearing organization sets minimum margin requirements, and the broker can impose a higher requirement.

Margin is not the futures notional, the price of the deliverable bond, or a maximum-loss amount. A relatively small collateral balance can support a much larger rate exposure.

Worked Example: A Hedge With a Margin Debit

Continue the duration hedge with 100 short contracts and an estimated futures DV01 of $70. If the relevant yield falls by five basis points, the futures price generally rises and the short futures position loses approximately:

If the cash portfolio’s DV01 remains $7,000, its approximate gain from the same parallel yield decline is also $35,000. The economic effects offset in this simplified case, but the $35,000 futures loss is settled through the margin process. The portfolio gain may remain unrealized and may not provide cash immediately.

A treasury or risk team should therefore forecast variation settlement, possible margin increases, and collateral availability separately from the hedge’s expected net value effect.

Why Not Size by Face Value Alone?

Two bonds with the same face value can have different coupon, maturity, duration, and DV01. Matching $10 million of bonds with $10 million of futures notional can leave significant rate exposure.

DV01 matching improves the first-order hedge, but it still assumes:

• similar yield-curve movement at the portfolio and CTD maturities;
• stable credit and liquidity spreads;
• no material option-related duration change;
• stable CTD and conversion-factor relationship; and
• adequate rebalancing as prices and time change.

Hedging Across the Yield Curve

One total portfolio DV01 can hide offsetting or concentrated maturity exposures. A portfolio may have most of its sensitivity near five years while the chosen futures contract behaves like a longer CTD bond. A parallel-rate hedge can then perform poorly when the curve steepens, flattens, or twists.

Assume a portfolio has the following hypothetical key-rate DV01 profile:

The unrounded hedge uses each maturity’s sensitivity rather than dividing total DV01 by one contract. Because futures trade in whole contracts, the five-year amount must be rounded or combined with another instrument. The manager should then recalculate the residual DV01 by curve area.

This bucketed approach is still approximate. Key-rate models can use different shock definitions, CTD assumptions can change, and adjacent points on the curve are correlated rather than independent.

Cross-Hedging Corporate and Structured Bonds

Government bond futures primarily hedge benchmark rate exposure. A corporate bond’s yield can be viewed, in simplified form, as a government or swap benchmark plus a credit spread. Selling government futures may reduce the benchmark-rate component while leaving the credit spread exposed.

If government yields fall but the issuer’s credit spread widens by more, the corporate bond can lose value while the short government futures position also loses. That outcome does not prove the futures calculation was wrong; it shows that the hedge did not cover the spread move.

Mortgage-backed, callable, and putable bonds add option risk. Their duration can change as rates move, making a static futures hedge increasingly inaccurate. Foreign bonds can also add currency and sovereign-basis exposure.

Hedge reporting should separate:

• benchmark yield movement;
• curve movement;
• credit or liquidity spread movement;
• option-related duration and convexity changes;
• futures basis and CTD effects;
• carry, financing, and roll; and
• transaction and margin costs.

Delivery Process and Embedded Options

For a physically deliverable bond future, the exchange rules specify which securities qualify and how delivery occurs. The short normally selects an eligible security and may have contract-defined choices involving delivery timing. Those choices can have economic value.

A delivery review should identify:

1. first and last notice dates;
2. first and last delivery dates;
3. the current deliverable basket;
4. published conversion factors;
5. likely CTD and alternative candidates;
6. accrued-interest and invoice conventions;
7. clearing and broker deadlines; and
8. funding, custody, and settlement capacity.

The long cannot assume it will receive a particular bond merely because that bond is currently CTD. The short cannot assume today’s CTD will remain optimal through delivery. Market prices, repo conditions, and delivery timing can change the decision.

Many participants offset or roll positions before delivery, but that intention does not remove operational risk. A missed broker deadline or misunderstood position can create a delivery obligation.

Rolling a Bond Futures Hedge

To maintain exposure beyond expiration, a manager can close the current contract and open a later month. The later contract can have a different futures price, deliverable basket, CTD security, conversion factors, DV01, and liquidity profile.

The roll should not be evaluated only by the difference between the two futures prices. A complete review includes:

• realized P&L on the expiring contract;
• opening basis and sensitivity of the new contract;
• spread execution and transaction costs;
• CTD and conversion-factor changes;
• financing and carry over the new horizon; and
• the revised contract count needed for the target DV01.

Rolling the same number of contracts without recalculating DV01 can unintentionally increase or decrease the hedge.

Bond Futures vs. Cash Bond vs. Rate Swap

Risks and Limitations

• Yield-curve basis: Portfolio yields and the CTD yield may move differently.
• Credit-spread risk: Government futures do not directly hedge corporate or structured-credit spread changes.
• CTD-switch risk: A change in delivery economics can alter futures DV01 and price behavior.
• Conversion-factor risk: The exchange adjustment is standardized, not a perfect hedge for every security.
• Repo and carry risk: Financing conditions affect cash-versus-futures relationships and delivery choice.
• Delivery-option risk: The short’s timing and security choice can have economic value.
• Margin liquidity: A hedge can require cash after adverse daily futures moves even if the cash portfolio gains.
• Roll risk: Extending the hedge can change DV01, CTD, basis, and spread between contract months.
• Convexity and optionality: A linear DV01 hedge does not fully capture larger moves or embedded options.
• Operational risk: Quote format, contract month, conversion factor, notice date, and delivery assumptions can be entered incorrectly.

Losses can exceed initial margin. A hedge can also become a directional short position if the cash bonds are sold, mature, or change materially while the futures remain open.

Common Mistakes

• Reading a fractional Treasury-style quote as an ordinary decimal price.
• Treating the contract’s face amount as its DV01.
• Assuming the lowest clean cash price identifies the CTD security.
• Comparing candidate bonds with prices captured at different times.
• Using spot DV01 when the hedge model requires forward DV01 at delivery.
• Assuming the current CTD and futures DV01 cannot change.
• Claiming a government futures hedge eliminates corporate credit-spread risk.
• Ignoring variation-settlement liquidity because the cash bond is expected to offset the futures loss.
• Rolling the same contract count without recalculating sensitivity.
• Reaching a notice or delivery deadline unintentionally.

Due-Diligence Checklist

1. Identify the current deliverable basket and likely CTD candidates.
2. Calculate contract DV01 using a documented CTD and convention.
3. Map portfolio DV01 by curve maturity rather than using only one total.
4. Stress yield-curve twists, credit-spread moves, and CTD switches.
5. Review repo, carry, invoice, notice, delivery, and broker-liquidation rules.
6. Estimate margin needs under adverse price moves and margin increases.
7. Plan roll timing and recalculate hedge ratios for the new contract.
8. Obtain transaction-specific accounting, tax, legal, and regulatory analysis.

Authoritative Sources

• The CFTC Futures Glossary defines conversion factors and provides the core invoice-price relationship.
• CME Group’s Treasury Analytics guide explains deliverable baskets, CTD, conversion factors, implied repo, yield, and DV01 for Treasury futures.
• CME Group’s conversion-factor explanation describes why each eligible U.S. Treasury security receives a contract-specific adjustment.
• CME Group’s DV01 calculation guide explains why sensitivity matching is generally more informative for hedging than matching notional values.

Deliverable baskets, conversion factors, contract rules, and broker requirements can change. Use current exchange publications and position records for an actual analysis.

This page is for financial education only. It does not recommend a bond-futures trade or hedge. Bond futures can create losses beyond initial margin, delivery obligations, and imperfect hedge results.

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Related Terms

• Futures Contract: The standardized exchange-traded contract structure.
• Duration: A measure of bond-price sensitivity to yield changes.
• Dollar Duration (DV01): Dollar sensitivity to a one-basis-point yield move.
• Basis Risk: The risk that a hedge and the exposure do not move together.
• Interest Rate Swap: An OTC or cleared alternative for changing rate exposure.
• Credit Spread: Yield compensation that can move independently of the government rate hedged with futures.
• Accrued Interest: Coupon interest included in the delivery invoice under the contract convention.
• Margin: Collateral supporting daily futures gains and losses rather than the bond’s purchase price.