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THE NORMALIZING TRANSFORMATION OF THE IMPLIED VOLATILITY SMILE

Bibliographic record. Follow the original-source link for the publication.

Field Value
Primary domain Volatility
Other domains
Methods
Facets
Authors Masaaki Fukasawa
Published 2011-06-05
Source Mathematical Finance
Identifiers doi:10.1111/j.1467-9965.2011.00483.x
URL Open original source

Editorial synthesis

Why it matters

The study uses nonlinear transformations of Black–Scholes implied volatility to connect volatility-smile representations, no-arbitrage skew bounds, and pricing of European payoffs. (abstract:S1, abstract:S2, abstract:S3)

Main author claims

  • The authors study selected nonlinear transformations of Black–Scholes implied volatility and claim that they reveal notable properties of the volatility surface. (abstract:S1)
  • The authors provide no-arbitrage bounds for the implied-volatility skew. (abstract:S2)
  • The authors give pricing formulas for European payoffs in terms of the implied-volatility smile. (abstract:S3)

Data, method, or discussion scope

The supplied material consists of three abstract sentences covering nonlinear transformations, skew bounds, and European-payoff pricing formulas, without theorem conditions or empirical applications. (abstract:S1, abstract:S2, abstract:S3)

Main limitations

The abstract omits the transformation formulas, conditions for the bounds, numerical stability, and market-data tests, so implementation readiness cannot be assessed. (abstract:S1, abstract:S2, abstract:S3)

Relationships

  • None recorded.