The cleanest way to think about implied vol
The cleanest way I've found to explain why higher implied vol means more time value.
Implied vol is the market's expectation of future realised vol. Higher IV means the market expects the asset to move more.
Take two options. Both expiring in a week. Both 5% out of the money.
The chance of the call finishing in the money comes down to one question: can the asset move 5% in a week?
A two-year Treasury note? That basically doesn't happen. So a 5% out of the money call on a two-year note has almost no chance of finishing in the money. Almost no time value.
Now take Bitcoin. A 5% out of the money call expiring in a week. Plenty of chance of finishing in the money. Bitcoin can do 5% in a day, never mind a week. So that call carries real time value.
Same percentage out of the money. Same time to expiry. Very different premium.
The difference is the implied vol. Which is just the market's read on how likely the asset is to actually get there.
Implied vol is a probability translated into a price.
Once you see it that way, a lot of other things click. Why earnings vol gets bid before a print. Why it collapses the morning after. Why low-vol options feel cheap to own but rarely pay you. Why high-vol options look expensive but can still hand you real upside when the move shows up.
It's all the same insight. The premium is just pricing the probability that the move actually arrives in time.
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Imran
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