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An Italian perspective on the development of financial mathematics from 1992 to 2008

Author

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  • Wolfgang J. Runggaldier

    (University of Padova)

Abstract

This paper is intended to be a survey of the development of financial mathematics as seen through the events that I organised, and partly co-organised, between 1992 and 2008. These events all took place in Italy between 1992 and 2003, while in 2008 I was involved in the organisation of an entire special semester in Linz (Austria); this semester is included here because it marks quite well the state-of-the-art of the period just before the so-called big financial crisis that lasted from, roughly, 2008 to 2012. Even if the survey may be affected by my personal views, it can still be seen as reflecting the actual global development since what I am going to describe here concerns major occurrences. For completeness, I also mention, although only briefly, some events that took place in Italy during the given period, but where I was not personally involved.

Suggested Citation

  • Wolfgang J. Runggaldier, 2022. "An Italian perspective on the development of financial mathematics from 1992 to 2008," Finance and Stochastics, Springer, vol. 26(1), pages 5-31, January.
    • Handle: RePEc:spr:finsto:v:26:y:2022:i:1:d:10.1007_s00780-021-00452-9
    DOI: 10.1007/s00780-021-00452-9
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    References listed on IDEAS

    as
    1. Yan Li & Junhao Hu, 2013. "Numerical Analysis for Stochastic Partial Differential Delay Equations with Jumps," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, May.
    2. 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.
    3. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    4. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    5. Freddy Delbaen, 1992. "Representing Martingale Measures When Asset Prices Are Continuous And Bounded," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 107-130, April.
    6. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    7. W. Schachermayer, 1994. "Martingale Measures For Discrete‐Time Processes With Infinite Horizon," Mathematical Finance, Wiley Blackwell, vol. 4(1), pages 25-55, January.
    8. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
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    More about this item

    Keywords

    Financial mathematics; Basic scientific aspects; Historical and organisational aspects; Scientific institutions; Big financial crisis;
    All these keywords.

    JEL classification:

    • B26 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Financial Economics
    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • N01 - Economic History - - General - - - Development of the Discipline: Historiographical; Sources and Methods
    • N20 - Economic History - - Financial Markets and Institutions - - - General, International, or Comparative

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