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Linear Gears for Asset Pricing

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Book cover Modelling Reality and Personal Modelling

Part of the book series: Contributions to Management Science ((MANAGEMENT SC.))

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Abstract

The purpose of this paper is to use a few simple results of linear algebra to derive some properties of a general asset pricing model. Since one can apply essentially the same techniques in both cases, we start by considering a traditional asset pricing model and then show how to extend the reasoning to a more general model. In order to present our results, we need to state several assumptions that are customarily made in the studies of finance. Unless explicit mention is made, we maintain these assumptions throughout this work although some of them could be relaxed with little effort.

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References

  1. Merton, R.C. (1976): “Option pricing when underlying stock re-turns are discontinuous,” Journal of Financial Economics 3, 125–144.

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  2. Merton, R.C. (1990): “Capital market theory and the pricing of financial securities,” Working paper n. 90–024, Harvard Business School (forthcoming in B. Friedman and F. Hahn (eds.), Handbook of monetary economics, North-Holland, Amsterdam).

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  3. Protter, P. (1990): Stochastic integration and differential equations, Springer-Verlag, Berlin.

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© 1993 Physica-Verlag Heidelberg

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Castagnoli, E., Li Calzi, M. (1993). Linear Gears for Asset Pricing. In: Flavell, R. (eds) Modelling Reality and Personal Modelling. Contributions to Management Science. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-95900-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-95900-4_4

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0682-3

  • Online ISBN: 978-3-642-95900-4

  • eBook Packages: Springer Book Archive

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