Option Profit and Loss Attribution and Pricing: A New Framework

Peter Carr, Liuren Wu

Research output: Contribution to journalArticlepeer-review


This paper develops a new top-down valuation framework that links the pricing of an option investment to its daily profit and loss attribution. The framework uses the Black-Merton-Scholes option pricing formula to attribute the short-term option investment risk to variation in the underlying security price and the option's implied volatility. Taking risk-neutral expectation and demanding no dynamic arbitrage result in a pricing relation that links an option's fair implied volatility level to the underlying volatility level with corrections for the implied volatility's own expected direction of movement, its variance, and its covariance with the underlying security return.

Original languageEnglish (US)
Pages (from-to)2271-2316
Number of pages46
JournalJournal of Finance
Issue number4
StatePublished - Aug 1 2020

ASJC Scopus subject areas

  • Accounting
  • Finance
  • Economics and Econometrics


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