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| MQGE0007-1 | Financial Mathematics and Stochastic Calculus
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| Duration : | 30h Th |
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| Number of credits : |
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| Lecturer : | Louis Esch |
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Language(s) of instruction :
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| English language |
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Course contents :
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| The bases of probability theory and stochastic processes are introduced. Then, two famiiles of applications are presented :
- Continuious time stochastic finance (stochastic calculus, option pricing models, interest rate models) ;
- Risk theory in non-life insurance (compound Poisson process, collective risk process, ruin probability, tarification principles). |
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Learning outcomes of the course :
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| - Give the rigorous mathematical bases of stochastic processes and stochastic calculus.
- Apply these bases to some financial and actuarial models. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| - Basic probability theory ;
- Financial securities (interest rates, derivatives). |
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Recommended or required readings :
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| - KAAS R., GOOVAERTS M., DHAENE J., DENUIT M., Modern actuarial risk theory, Kluwers Academic Publishers, 2001.
- KENNEDY D., Stochastic financial models, Chapman & Hall, 2010.
- MIKOSCH T., Elementary stochastic calculus with finance in view, World Scientific, 1998. |
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Assessment methods and criteria :
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| Written exam. |
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