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Quantitative Finance · Glossaire

Qu'est-ce que « Self-financing strategy » ?

Definition 1.10 Derivatives and Volatility · Chapitre 1 — No Arbitrage and the Fundamental Theorems

A trading strategy (θk)(\theta_k), adapted to the information available at each date, is a self-financing strategy if nothing is added or withdrawn between 00 and TT: every rebalancing is paid for by the portfolio itself, so its value changes only through price changes, Vtk+1−Vtk=θk⋅(Stk+1−Stk)V_{t_{k+1}}-V_{t_k}=\theta_k\cdot(S_{t_{k+1}}-S_{t_k}) in discounted units. In continuous time, dVt=θt dStdV_t=\theta_t\,dS_t with a stochastic integral.

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