Cheapest to Deliver (CTD)
What Is Cheapest to Deliver?
Cheapest to Deliver (CTD) refers to the specific bond that a seller in a Treasury Bond futures contract chooses to deliver to the buyer to satisfy the contract obligation at the lowest possible cost.
When you trade a commodity futures contract like Oil or Corn, the delivery specification is strict: 1,000 barrels of a specific grade of crude oil. Everyone gets the same thing. Bond futures are different. The Chicago Board of Trade (CBOT) US Treasury Bond contract allows the seller to deliver *any* Treasury bond that has at least 15 years remaining until maturity. There might be 20 or 30 different bonds that fit this description. However, these bonds are not identical. Some have high coupons (e.g., 6%) and trade at a premium; others have low coupons (e.g., 2%) and trade at a discount. To make them roughly equivalent, the exchange uses "Conversion Factors." Despite these factors, pricing imperfections mean one specific bond will always be the most profitable (or least expensive) for the short seller to purchase in the cash market and hand over to the long buyer. This is the **Cheapest to Deliver (CTD)** bond. The entire futures market effectively prices itself based on this single bond.
Key Takeaways
- In bond futures markets (like Treasury futures), the seller has the option to deliver any one of several eligible bonds.
- Since eligible bonds have different prices and coupon rates, one bond will mathematically be cheaper for the seller to buy and deliver than the others.
- This bond is the "Cheapest to Deliver" (CTD).
- The futures contract price tracks the price of the CTD bond most closely.
- The CTD can change over the life of the futures contract as interest rates fluctuate.
- Understanding CTD is critical for bond traders, hedgers, and basis traders.
How It Works
The CTD is determined by calculating the "Implied Repo Rate" or the "Net Basis" for all eligible bonds. **The Formula for Cost of Delivery:** **Cost = (Bond Price - (Futures Price × Conversion Factor))** The seller wants to minimize this cost. * **Bond Price:** What the seller pays to buy the actual bond in the open market. * **Futures Price:** The price the buyer agreed to pay. * **Conversion Factor:** A standardized multiplier (set by the exchange) to adjust the futures price for the specific bond's coupon. The bond with the lowest Net Basis (Delivery Cost) is the CTD. Traders run algorithms constantly to identify which bond is currently CTD, as it drives the futures price.
Real-World Example
Imagine a T-Bond Futures contract is trading at 150-00. The seller needs to deliver a bond. Two eligible bonds exist: **Bond A (High Coupon):** * Market Price: 160-00. * Conversion Factor: 1.05. * Adjusted Invoice Price (what buyer pays): 150 * 1.05 = 157.5. * **Loss to Seller:** 160 (Cost) - 157.5 (Payment) = **2.5**. **Bond B (Low Coupon):** * Market Price: 130-00. * Conversion Factor: 0.88. * Adjusted Invoice Price: 150 * 0.88 = 132. * **Gain to Seller:** 130 (Cost) - 132 (Payment) = **+2.0 (Profit)**.
Why It Matters
For speculators, knowing the CTD is vital because the futures contract's "duration" (interest rate sensitivity) will match the CTD's duration. * **High Duration CTD:** If the CTD is a long-duration bond, the futures contract will be very volatile when rates change. * **Low Duration CTD:** If the CTD changes to a shorter-duration bond, the futures volatility decreases. If market yields shift significantly, the CTD can switch from one bond to another ("CTD Switch"). This creates complex risks and opportunities for arbitrageurs.
Common Beginner Mistakes
- Assuming futures track the 30-year yield perfectly: They track the CTD bond yield, which might differ slightly from the "on-the-run" benchmark bond shown on TV.
- Ignoring the "Switch Option": The seller has the *right* to switch bonds. This option has value and depresses the futures price relative to the spot market.
- Thinking delivery is common: Most retail traders close their positions before delivery. CTD analysis matters mainly for pricing the contract before expiration.
FAQs
Yes. As market yields rise or fall, different bonds may become cheaper to deliver. Generally, high-coupon, short-duration bonds become CTD when yields are high (above 6%), and low-coupon, long-duration bonds become CTD when yields are low.
A factor published by the exchange (e.g., CME Group) for every deliverable bond. It adjusts the bond's price to make it roughly equivalent to a hypothetical bond with a 6% coupon.
The seller (the person with the short futures position). The buyer has no say; they must accept whatever eligible bond the seller delivers.
A quirk in the rules where the futures market closes at 2:00 PM but the seller can announce delivery intent until 8:00 PM. If bond prices crash between 2 PM and 8 PM, the seller can buy cheap bonds in the cash market to deliver at the fixed 2 PM futures price, making a risk-free profit.
No. Professional trading platforms (Bloomberg, trading terminals) calculate and display the CTD and Net Basis for all bonds automatically.
The Bottom Line
Cheapest to Deliver is the anchor of the bond futures market. It explains why futures prices don't exactly match spot bond prices. Cheapest to Deliver is the bond most advantageous for a seller to deliver. By tracking the CTD, traders may result in more accurate hedging and arbitrage. On the other hand, ignoring potential CTD switches can lead to unexpected losses in basis trading.
Related Terms
More in Futures Contracts
At a Glance
Key Takeaways
- In bond futures markets (like Treasury futures), the seller has the option to deliver any one of several eligible bonds.
- Since eligible bonds have different prices and coupon rates, one bond will mathematically be cheaper for the seller to buy and deliver than the others.
- This bond is the "Cheapest to Deliver" (CTD).
- The futures contract price tracks the price of the CTD bond most closely.