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Pricing stock and bond derivatives with a multi-factor Gaussian model 

Authors: Isabelle Bajeux-Besnainou; Roland Portait
DOI: 10.1080/135048698334646
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 5, Issue 3 & 4 September 1998 , pages 207 - 225
Number of References: 29
Full text options: no full text options are available.


Abstract

The martingale approach to pricing contingent claims can be applied in a multiple state variable model. The idea is used to derive the prices of derivative securities (futures on stock and bond futures, options on stocks, bonds and futures) given a continuous time Gaussian multi-factor model of the returns of stocks and bonds. The bond market is similar to Langetieg's multi-factor model, which has closed-form solutions. This model is a generalization of Vasicek's model, where the term structure depends on state variables following correlated mean reverting processes. The stock market is affected by systematic and unsystematic risk.
Keywords: Derivative Securities; Multi-factor Model; Continuous-time; Pricing
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