Stochastic Modeling in Economics and Finance

1. Front Matter

   Pages i-xiii

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2. Fundamentals

   Pages 1-102

3. Discrete Time Stochastic Decision Models

   Pages 103-230

4. Stochastic Analysis and Diffusion Finance

   Pages 231-368

5. Back Matter

   Pages 369-386

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In Part I, the fundamentals of financial thinking and elementary mathematical methods of finance are presented. The method of presentation is simple enough to bridge the elements of financial arithmetic and complex models of financial math developed in the later parts. It covers characteristics of cash flows, yield curves, and valuation of securities.
Part II is devoted to the allocation of funds and risk management: classics (Markowitz theory of portfolio), capital asset pricing model, arbitrage pricing theory, asset & liability management, value at risk. The method explanation takes into account the computational aspects.
Part III explains modeling aspects of multistage stochastic programming on a relatively accessible level. It includes a survey of existing software, links to parametric, multiobjective and dynamic programming, and to probability and statistics. It focuses on scenario-based problems with the problems of scenario generation and output analysis discussed in detail and illustrated within a case study.

• Arbitrage
• Finance
• Funds
• Martingale
• Stochastic Programming
• Stochastic calculus
• Stochastic model
• Variance
• calculus
• cash flow
• econometrics
• modeling
• operations research
• planning
• statistics

From the reviews:

"The monograph presents a complete overview on stochastic modeling in finance and economics. … the mathematical approach is accessible to a wide audience. … A comprehensive bibliography and index complete the book. The volume can be used in introductory graduate courses, and as a reference text for researchers in probability, statistics and operations research … ." (Emilia Di Lorenzo, Zentralblatt MATH, Vol. 1094 (20), 2006)

• Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University, Prague

  Jitka Dupačová, Jan Hurt, Josef Štěpán

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