Li, Minqiang (2007): The Impact of Return Nonnormality on Exchange Options.
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Abstract
The Margrabe formula is used extensively by theorists and practitioners not only on exchange options, but also on executive compensation schemes, real options, weather and commodity derivatives, etc. However, the crucial assumption of a bivariate normal distribution is not fully satisfied in almost all applications. The impact of nonnormality on exchange options is studied by using a bivariate Gram-Charlier approximation. For near-the-money exchange options, skewness and coskewness induce price corrections which are linear in moneyness, while kurtosis and cokurtosis induce quadratic price corrections. The nonnormality helps to explain the implied correlation smile observed in practice.
| Item Type: | MPRA Paper |
|---|---|
| Original Title: | The Impact of Return Nonnormality on Exchange Options |
| Language: | English |
| Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C00 - General G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing |
| Item ID: | 7020 |
| Depositing User: | Minqiang Li |
| Date Deposited: | 06 Feb 2008 05:52 |
| Last Modified: | 26 Sep 2019 22:19 |
| URI: | https://mpra.ub.uni-muenchen.de/id/eprint/7020 |
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