Option Bounds

Posted: 23 Jul 2004

See all articles by Rustam Ibragimov

Rustam Ibragimov

Harvard University - Department of Economics

Victor H. de la Pena

Columbia University - Department of Statistics

Steven J. Jordan

Econometric Solutions

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In this paper, we obtain sharp estimates for the expected payoffs and prices of European call options on an asset with an absolutely continuous price in terms of the price density characteristics. These techniques and results complement other approaches to the derivative pricing problem. Exact analytical solutions to option pricing problems and to Monte-Carlo techniques make strong assumptions on the underlying asset's distribution. In contrast, our results are semi-parametric. This allows the derivation of results without knowing the entire distribution of the underlying asset's returns. Our results can be used to test different modelling assumptions. Finally, we derive bounds on the multiperiod binomial option-pricing model with time-varying moments. Our bounds reduce the multiperiod setup to a two-period setting, which is advantageous from a computational perspective.

Keywords: options, bounds, exotic, path dependent

JEL Classification: D46, G13

Suggested Citation

Ibragimov, Rustam and de la Pena, Victor H. and Jordan, Steven J., Option Bounds. Available at SSRN: https://ssrn.com/abstract=567373

Rustam Ibragimov (Contact Author)

Harvard University - Department of Economics ( email )

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Victor H. De la Pena

Columbia University - Department of Statistics ( email )

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Steven J. Jordan

Econometric Solutions ( email )

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