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2
votes
3answers
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Basic question about Black Scholes derivation
In the derivation of the Black Scholes equation, the value of the portfolio at time $t$ is given by
$$P_t = -D_t + \frac{{\partial D_t}}{{\partial S_t}}S_t $$
where $P_t$ is the value of the ...
9
votes
2answers
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Why a self-financing replicating portfolio should always exist?
According to my understanding the derivation of the Black-Scholes PDE is based on the assumption that the price of the option should change in time in such a way that it should be possible to ...
6
votes
1answer
1k views
What is a self-financing and replicating portfolio?
I try to understand the derivation of the Black-Scholes equation based on the "constructing a replicating portfolio".
From mathematical point of view it looks simple. We assume that:
Stock prices ...