Electronic Resource
350 Main Street , Malden , MA 02148 , USA , and 9600 Garsington Road , Oxford OX4 2DQ , UK .
:
Blackwell Publishing, Inc.
Mathematical finance
15 (2005), S. 0
ISSN:
1467-9965
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Mathematics
,
Economics
Notes:
We present here the quantization method which is well-adapted for the pricing and hedging of American options on a basket of assets. Its purpose is to compute a large number of conditional expectations by projection of the diffusion on optimal grids designed to minimize the (square mean) projection error (Graf and Luschgy 2000). An algorithm to compute such grids is described. We provide results concerning the orders of the approximation with respect to the regularity of the payoff function and the global size of the grids. Numerical tests are performed in dimensions 2, 4, 5, 6, 10 with American style exchange options. They show that theoretical orders are probably pessimistic.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.0960-1627.2005.00213.x
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