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Change of numéraire for affine arbitrage pricing models driven by multifactor marked point processes

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  • Andrea Roncoroni

Abstract

We derive a general formula for the change of numéraire in multifactor ane arbitrage free models driven by marked point processes. As a complement, we present both ane structures and change of measures in the general setting of jump diusions. This provides for a comprehensive view on the subject.

Suggested Citation

  • Andrea Roncoroni, 2001. "Change of numéraire for affine arbitrage pricing models driven by multifactor marked point processes," ICER Working Papers - Applied Mathematics Series 22-2001, ICER - International Centre for Economic Research.
    • Handle: RePEc:icr:wpmath:22-2001
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    File URL: http://www.bemservizi.unito.it/repec/icr/wp2001/Roncoroni22-01.pdf
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    References listed on IDEAS

    as
    1. Tomas Björk & Yuri Kabanov & Wolfgang Runggaldier, 1997. "Bond Market Structure in the Presence of Marked Point Processes," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 211-239, April.
    2. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    3. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    4. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
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