We study actuarial methods of option pricing in a fractional Black-Scholes model with time-dependent volatility. We interpret the option as a potential loss and we show that the fair premium needed to insure this loss coincides with the expectation of the discounted claim payoff under the average risk neutral measure.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-2-12, author = {Adrian Falkowski}, title = {Actuarial Approach to Option Pricing in a Fractional Black-Scholes Model with Time-Dependent Volatility}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {61}, year = {2013}, pages = {181-193}, zbl = {1314.91211}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-2-12} }
Adrian Falkowski. Actuarial Approach to Option Pricing in a Fractional Black-Scholes Model with Time-Dependent Volatility. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 181-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-2-12/