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$ In the "operate circumstance" you liquidate the portfolio at $t_1$ realising its PnL (allow me to simplify the notation somewhat)WillWill 13344 bronze badges $endgroup$ 4 $begingroup$ Did you not say in the beginning that $V$ is self-funding? In that case there is no Charge to finance it plus the PnL is always just $V_T-V_t$ between any two time