Approximated Moment-Matching Dynamics for Basket-Options Simulation

Author(s):  
Damiano Brigo ◽  
Fabio Mercurio ◽  
Francesco Rapisarda ◽  
Rita Scotti

This article provides a new methodology for pricing and hedging basket options. The authors approximate the basket by using the shifted log-normal distribution with the polynomial expansion, which can match exactly any required m moments of the basket, to give quasi-analytical formulas for the prices and hedging parameters of basket options. Numerical simulations show that the methodology provides superior results for basket option prices and hedging parameters. This methodology works well not only for regular baskets but also for negative-weight baskets and negative-value baskets. Compared with the best available methods, the authors’ methodology appears to perform better.


Author(s):  
Tommaso Paletta ◽  
Arturo Leccadito ◽  
Radu Tunaru

2004 ◽  
Vol 4 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Damiano Brigo ◽  
Fabio Mercurio ◽  
Francesco Rapisarda ◽  
Rita Scotti

2016 ◽  
Vol 69 ◽  
pp. 59-69 ◽  
Author(s):  
Arturo Leccadito ◽  
Tommaso Paletta ◽  
Radu Tunaru

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