tailieunhanh - Discrete Time Finance

Single period market models are the most elementary market models. Only a single period is considered. The beginning of the period is usually denoted by the time t = 0 and the end of the period by time t = 1. At time t = 0 stock prices, bond prices,possibly prices of other financial assets or specific financial values are recorded and the financial agent can choose his investment, often a portfolio of stocks and bond. At time t = 1 prices are recorded again and the financial agent obtains a payoff corresponding to the value of his portfolio at time t = 1 | Discrete Time Finance Dr. Christian-Oliver Ewald School of Economics and Finance University of Electronic copy of this paper is available at http abstract 976589 Abstract These are my Lecture Notes for a course in Discrete Time Finance which I taught in the Winter term 2005 at the University of Leeds. I am aware that the notes are not yet free of error and the manuscrip needs further improvement. I am happy about any comment on the notes. Please send your comments via e-mail to ce16@. Electronic copy of this paper is available at http abstract 976589 Contents 1 Single Period Market Models 2 The most elementary Market Model. 3 A general single period market model. 14 Single Period Consumption and Investment. 37 Mean-Variance Analysis. 52 Exercises. 65 2 Multi period Market Models 67 General Model Specifications. 67 Properties of the general multi period market model . . . 77 The Binomial Asset Pricing Model. 89 Optimal Portfolios in a Multi Period market Model. 97

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