In this paper we obtain closed-form expressions for the price of an European Call option on constant-proportion portfolio insurance strategies (CPPI). CPPIs are path-dependent derivatives themselves where the underlying typically is a market index or a fund portfolio. We describe and explain the functionality of CPPIs, showing closed-form expression for the price of a CPPI assuming a Geometric Brownian Motion and continuous as well as discrete rebalancing for the fund investment. The sensitivities of the option to the various parameters of the model are also derived.      «

In this paper we obtain closed-form expressions for the price of an European Call option on constant-proportion portfolio insurance strategies (CPPI). CPPIs are path-dependent derivatives themselves where the underlying typically is a market index or a fund portfolio. We describe and explain the functionality of CPPIs, showing closed-form expression for the price of a CPPI assuming a Geometric Brownian Motion and continuous as well as discrete rebalancing for the fund investment. The sensitiviti...     »