Asia-Pacific Financial Markets

, Volume 11, Issue 4, pp 431–444

A Complete-Market Generalization of the Black-Scholes Model



The author proposes a new single-stock generalization of the Black-Scholes model. The stock price process is Markovian, the volatility is time-varying, and the market is complete. We also consider the option pricing based on our model and a connection with the equilibrium theory.

Key words

Black-Scholes model complete market models equilibrium price option pricing volatility 


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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Graduate School of Commerce and ManagementHitotsubashi UniversityTokyoJapan

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