Abstract :
In the last 20 years modern finance has developed into a complex mathematically challenging field. Very complicated risks exist in financial markets which need very advanced methods to measure and/or model them. The financial instruments invented by the market participants to trade these risk, the so called derivatives are usually even more complicated than the risks themselves and also sometimes generate new riks. Topics like random walks, stochastic differential equations, martingale measures, time series analysis, implied correlations, etc. are of common use in the field. This is why more and more people with a science background, such as physicists, mathematicians, or computer scientists, are entering the field of finance. The measurement and management of all theses risks is the key to the continuing success of banks. This talk gives insight into todayʹs common methods of modern market risk management such as variance–covariance, historical simulation, Monte Carlo, “Greek” ratios, etc., including the statistical concepts on which they are based. Derivatives are at the same time the main reason for and the most effective means of conducting risk management. As such, they stand at the beginning and end of risk management. The valuation of derivatives and structured financial instruments is therefore the prerequisite, the condition sine qua non, for all risk management. This talk introduces some of the important valuation methods used in modern derivatives pricing such as present value, Black–Scholes, binomial trees, Monte Carlo, etc. In summary this talk highlights an area outside physics where there is a lot of interesting work to do, especially for physicists. Or as one of our consultants said: The fascinating thing about this job is that Arthur Andersen hired me not ALTHOUGH I am a physicist but BECAUSE I am a physicist.
