This chapter deals mostly with finite markets – that is, discrete-time models of financial markets in which all relevant quantities take a finite number of values. Essentially, we follow here the approach of Harrison and Pliska (1981); a more exhaustive analysis of finite markets can be found in Taqqu and Willinger (1987). An excellent introduction to discrete-time financial mathematics is given by Pliska (1997) and Shreve (2004). A monograph by Föllmer and Schied (2000) is the most comprehensive source in the area.
Mathematics Subject Classification (2000)
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© 2005 Springer-Verlag Berlin Heidelberg
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Musiela, M., Rutkowski, M. (2005). Discrete-time Security Markets. In: Martingale Methods in Financial Modelling. Stochastic Modelling and Applied Probability, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26653-4_2
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DOI: https://doi.org/10.1007/3-540-26653-4_2
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