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How many options are necessary in computing a "model-free" measure?

Andrea has largely answered your question (+1), namely that a continuum of options are needed to synthesize or price a model free quantity. For instance $$ E[F(X)] = \int_{-\infty}^{\infty} F(x) p(x) ...
Frido's user avatar
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How many options are necessary in computing a "model-free" measure?

The answer is "depends". If one can replicate a given payoff using observable prices, then this is by definition a model free price (unless there is arbitrage of course). The easier case is ...
Andrea's user avatar
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