How Does Volatility Affect the Premium Received by the Option Writer?

Higher volatility in the underlying cryptocurrency increases the option premium for both calls and puts, as it increases the probability that the option will end up 'in-the-money.' Therefore, the option writer (seller) receives a higher premium in a high-volatility environment. While this increases the immediate revenue, it also increases the potential for the option to be exercised, raising the risk for the writer.

How Does Gamma Relate to the Probability of an Option Being ITM at Expiration?
How Does Volatility in the Crypto Market Impact the Premium Received?
What Is the Primary Benefit of Buying an ITM Option?
What Is the Risk of “Early Assignment” When Selling a Call Option in a Collar?
How Is Delta Used as a Probability Estimate for an Option Expiring ITM?
How Does the Probability of an Option Expiring ITM Relate to Its Time Value?
How Does the “Strike Price” of the Call Option Affect the Premium Received?
Define In-The-Money (ITM) for Both a Call and a Put Option

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