Option Pricing in a Fractional Brownian Motion Environment
AbstractThe purpose of this paper is to obtain a fractional Black-Scholes formula for the price of an option for every t in [0,T], a fractional Black-Scholes equation and a risk-neutral valuation theorem if the underlying is driven by a fractional Brownian motion BH (t), 1/2
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Bibliographic InfoPaper provided by Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB in its series Advances in Economic and Financial Research - DOFIN Working Paper Series with number 2.
Date of creation: Jan 2008
Date of revision:
fractional Brownian motion; fractional Black-Scholes market; quasiconditional expectation;
Find related papers by JEL classification:
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Ciprian Necula, 2008. "Pricing European and Barrier Options in the Fractional Black-Scholes Market," Advances in Economic and Financial Research - DOFIN Working Paper Series 20, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
- Ciprian Necula, 2008. "A Framework for Derivative Pricing in the Fractional Black-Scholes Market," Advances in Economic and Financial Research - DOFIN Working Paper Series 19, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
- Li Meng & Mei Wang, 2010. "Comparison of Black–Scholes Formula with Fractional Black–Scholes Formula in the Foreign Exchange Option Market with Changing Volatility," Asia-Pacific Financial Markets, Springer, vol. 17(2), pages 99-111, June.
- Kyong-Hui Kim & Myong-Guk Sin, 2013. "Efficient hedging in general Black-Scholes model," Papers 1308.6387, arXiv.org, revised Mar 2014.
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