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Implied Volatility

Volatility inferred from an option price using a model

Implied Volatility, or IV, is volatility inferred from an option premium under a chosen model and other inputs. It describes the pricing of uncertainty, not a certain future move or its direction. Comparison requires matching contract terms, maturity and observation time.

Implied Volatility is the volatility value that links a known option price to the other inputs in a given model. It is neither directly observed future behavior nor historical volatility. It depends on the model, contract and price used in the calculation.

Implied Volatility is the volatility at which the chosen pricing model, with the other specified inputs, reproduces the option price. CME emphasizes that it can be viewed as a value derived from a market premium rather than a directly observed future move. The calculation depends on the model and contract specification; the label IV alone is not a complete description. [1]

OIC distinguishes historical volatility calculated from past prices from implied volatility derived from current option prices. The former summarizes a selected past period; the latter captures the pricing of future uncertainty within a given model. They may differ without a calculation error. Neither measure alone determines whether Bitcoin's next price move will be up or down. [2]

Alongside the option price, record the underlying price, strike, remaining time, interest-rate assumptions and option type. Distinguish a spot option from an option on futures, the exercise style and settlement currency. OIC discusses model pricing and its limitations; a model intended for different contract terms may produce a number that cannot be properly compared with the quote. [3]

Different strikes and maturities may have different IVs. CME demonstrates the importance of volatility skew: relative price differences among options do not disappear when all are assigned one value. Therefore hold parameters constant when comparing, or describe the entire surface. CME illustrations from other markets explain the principle, not an unchanging bitcoin skew shape. [1]

OIC defines Vega as the option price's sensitivity to changes in implied volatility. For an ordinary long call or put, higher IV increases model value with other conditions unchanged. Actual results are also affected by the underlying, time and other parameters. Vega changes too; one local sensitivity cannot become an exact forecast for an arbitrarily large change. [4]

CME CF Bitcoin Volatility Indices use prices of options on CME bitcoin futures and describe expected volatility over the specified horizon under a published methodology. Such an aggregate index is neither the IV of an arbitrary single option nor a direct measurement of future realized volatility. Check the index definition, horizon and observation time before comparing. [5]

OIC describes how an option premium may embed higher IV ahead of an anticipated event and fall afterwards. Correctly predicting the underlying's direction therefore does not itself guarantee an option profit. Separate IV changes from time decay, underlying changes and costs. High IV alone also does not prove that selling an option is safe or attractive. [6]

Record the model, quote source, time, spread and all inputs used. OIC notes that Black-Scholes does not perfectly describe actual option markets. A model number is therefore not a price limit, guaranteed interval or maximum possible loss. Compare it against alternative scenarios and the specific contract's rules rather than only a single historical IV value. [3]

ExampleEXAMPLE · IV

Same inputs, different volatility and premium

Our fictional model uses a European call on 1 BTC, exercisable only at maturity, with cash settlement in USD. Both spot and strike are 100000 USD/BTC, with 30 days to maturity and 365 days per year. Interest and underlying yield are zero. In Black-Scholes we compare annual volatilities [40, 60, 80]%. Premiums C for the whole option, rounded, are [4572.42, 6853.94, 9129.84] USD. For these particular assumptions we use C = 100000 × (2 × Φ(σ × √(30 / 365) / 2) - 1), where Φ is the standard normal cumulative distribution function and σ is entered as a decimal. The chart shows the volatility–model-premium relationship with other inputs unchanged. Solving backwards for volatility from the unrounded middle premium returns 60%; this reverse procedure illustrates IV. The numbers are not live quotes, exchange specifications, a BTC forecast or an actual trade result. The model assumes constant volatility and excludes fees, spread and price jumps.

For the clearest picture, read this entry together with Options, Option Greeks, Volatility, Bitcoin futures, Risk Management. The reverse links also lead from Volatility, Options on spot Bitcoin ETPs, Options, Option Greeks.

01Does higher IV mean Bitcoin's price is expected to rise?

No. IV describes the pricing of the magnitude of uncertainty, not its direction. Both positive and negative price moves may be associated with high volatility.

02Is IV identical to the volatility that ultimately occurs?

No. It is derived from the current option price and chosen model. Actual future behavior can differ; neither the model nor the quote guarantees an outcome or price interval.

DOC · 001CME Group — Implied Volatility and SkewDocumentation DOC · 002OIC — Technical InformationDocumentation DOC · 003OIC — Volatility and the GreeksDocumentation DOC · 004OIC — VegaDocumentation DOC · 005CME Group — Understanding CME CF Bitcoin Volatility IndicesDocumentation DOC · 006OIC — Option Price BehaviorDocumentation
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