期刊
INSURANCE MATHEMATICS & ECONOMICS
卷 44, 期 1, 页码 95-102出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.insmatheco.2008.10.007
关键词
Normal inverse Gaussian; Basket option; Esscher transform; Time-changed Levy process
This paper uses a multivariate normal inverse Gaussian model to develop closed-form pricing formulas for both geometric and arithmetic basket options. For geometric basket options, an exact analytical solution is possible; for arithmetic basket options, the formula is an approximation. The model is based on a jump-driven financial process, which is known empirically to be more realistic than a geometric Brownian motion. By comparing our results to Monte Carlo experiments, we confirm the internal consistency of our formulas. The Greeks can be derived from the closed-form formulas in a straightforward manner. (C) 2008 Elsevier B.V. All rights reserved.
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