While many financial engineering books are available, the
statistical aspects behind the implementation of stochastic models
used in the field are often overlooked or restricted to a few
well-known cases. Statistical Methods for Financial Engineering
guides current and future practitioners on implementing the most
useful stochastic models used in financial engineering.
After introducing properties of univariate and multivariate
models for asset dynamics as well as estimation techniques, the
book discusses limits of the Black-Scholes model, statistical tests
to verify some of its assumptions, and the challenges of dynamic
hedging in discrete time. It then covers the estimation of risk and
performance measures, the foundations of spot interest rate
modeling, Levy processes and their financial applications, the
properties and parameter estimation of GARCH models, and the
importance of dependence models in hedge fund replication and other
applications. It concludes with the topic of filtering and its
financial applications.
This self-contained book offers a basic presentation of
stochastic models and addresses issues related to their
implementation in the financial industry. Each chapter introduces
powerful and practical statistical tools necessary to implement the
models. The author not only shows how to estimate parameters
efficiently, but he also demonstrates, whenever possible, how to
test the validity of the proposed models. Throughout the text,
examples using MATLAB(r) illustrate the application of the
techniques to solve real-world financial problems. MATLAB and R
programs are available on the author s website.
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