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Applied Stochastic Models and Control for Finance and Insurance (Hardcover, 1998 ed.)
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Applied Stochastic Models and Control for Finance and Insurance (Hardcover, 1998 ed.)
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Applied Stochastic Models and Control for Finance and Insurance
presents at an introductory level some essential stochastic models
applied in economics, finance and insurance. Markov chains, random
walks, stochastic differential equations and other stochastic
processes are used throughout the book and systematically applied
to economic and financial applications. In addition, a dynamic
programming framework is used to deal with some basic optimization
problems. The book begins by introducing problems of economics,
finance and insurance which involve time, uncertainty and risk. A
number of cases are treated in detail, spanning risk management,
volatility, memory, the time structure of preferences, interest
rates and yields, etc. The second and third chapters provide an
introduction to stochastic models and their application. Stochastic
differential equations and stochastic calculus are presented in an
intuitive manner, and numerous applications and exercises are used
to facilitate their understanding and their use in Chapter 3. A
number of other processes which are increasingly used in finance
and insurance are introduced in Chapter 4. In the fifth chapter,
ARCH and GARCH models are presented and their application to
modeling volatility is emphasized. An outline of decision-making
procedures is presented in Chapter 6. Furthermore, we also
introduce the essentials of stochastic dynamic programming and
control, and provide first steps for the student who seeks to apply
these techniques. Finally, in Chapter 7, numerical techniques and
approximations to stochastic processes are examined. This book can
be used in business, economics, financial engineering and decision
sciences schools for second year Master's students, as well as in a
number of courses widely given in departments of statistics,
systems and decision sciences.
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