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How Does the ‘Cost to Produce’ in PoA Relate to the ‘Premium’ in an Options Contract?

The 'cost to produce' a block in PoA (the PoW energy cost) is analogous to the 'premium' paid for an options contract. The PoW cost is a sunk expenditure required to gain the right to propose a block for PoS validation, similar to how an options premium is the sunk cost paid to gain the right to exercise the option.

Both are upfront costs that grant a potential future economic benefit.

What Is the Premium Paid for an Option Contract?
In Options Trading, What Is the Cost That Acts as a Similar Security Expenditure for the Contract?
What Is the Precise Economic Cost Incurred by a PoW Miner in the “Nothing at Stake” Scenario for PoA?
In Options Trading, How Is a Premium Analogous to Staking Collateral in PoS?