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How Does the “Cheapest-to-Deliver” Option Influence Basis Risk in Physical Contracts?

The "cheapest-to-deliver" (CTD) option refers to the specific underlying asset (e.g. a specific bond or grade of commodity) that the seller chooses to deliver because it provides the highest profit or lowest cost. This optionality in delivery adds uncertainty to the futures price, which contributes to basis risk.

What Happens If a Seller in a Physically-Settled Contract Does Not Hold the Underlying Crypto?
What Is the Risk of a ‘Delivery Default’ in Physically-Settled Futures?
What Mechanism Is Used to Penalize a Seller Who Fails to Deliver the Asset in a Physical Settlement?
What Is “Being Assigned” on a Short Call Option?