Pricing of basket options using univariate normal inverse Gaussian approximations
✍ Scribed by Fred Espen Benth; Pål Nicolai Henriksen
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 437 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0277-6693
- DOI
- 10.1002/for.1179
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✦ Synopsis
In this paper we study the approximation of a sum of assets having marginal log-returns being multivariate normal inverse Gaussian distributed. We analyse the choice of a univariate exponential NIG distribution, where the approximation is based on matching of moments. Probability densities and European basket call option prices of the two-asset and univariate approximations are studied and analysed in two cases, each case consisting of nine scenarios of different volatilities and correlations, to assess the accuracy of the approximation. We fi nd that the sum can be well approximated, failing, however, to match the tails for some extreme parameter choices. The approximated option prices are close to the true ones, although becoming signifi cantly underestimated for far out-of-the-money call options.