Static Arbitrage Bounds on Basket Option Prices

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Authors: A. d'Aspremont and L. El Ghaoui.

Status: Math. Programming, Series A, vol. 106, no. 3, May 2006.

Abstract: We consider the problem of computing upper and lower bounds on the price of an European basket call option, given prices on other similar options. Although this problem is hard to solve exactly in the general case, we show that in some instances the upper and lower bounds can be computed via simple closed-form expressions, or linear programs. We also introduce an efficient linear programming relaxation of the general problem based on an integral transform interpretation of the call price function. We show that this relaxation is tight in some of the special cases examined before.

Related entries:
- Preprint on arXiv.
- Technical report.

Bibtex reference:

@article{AsE:06,
	Author = {A. d'Aspremont and L. {El Ghaoui}},
	Journal = {Math. Program.},
	Number = {3},
	Pages = {467--489},
	Publisher = {Springer-Verlag, New York, Inc.},
	Title = {Static arbitrage bounds on basket option prices},
	Volume = {106},
	Year = {2006}}