Here are some highly recommended books for both Econometrics and Stochastic Calculus:
Econometrics
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"Econometric Analysis" by William H. Greene
- A comprehensive textbook that covers a wide range of econometric techniques and applications. It is widely used in graduate courses and provides in-depth technical details.
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"Introduction to Econometrics" by James H. Stock and Mark W. Watson
- This book offers a clear introduction to econometric principles, with practical examples and applications. It's suitable for beginners and is often used in undergraduate courses.
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"Econometrics" by Fumio Hayashi
- A blend of theory and applications, this book is particularly renowned for its focus on time-series econometrics and structural estimation methods.
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"Applied Econometrics" by Dimitrios Asteriou and Stephen G. Hall
- This book emphasizes applied methods and provides a balance between theoretical foundations and practical examples using real economic data.
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"Econometric Theory and Methods" by Russell Davidson and James G. MacKinnon
- A rigorous text that covers a range of econometric methods with a strong theoretical foundation, making it suitable for graduate students.
Stochastic Calculus
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"Stochastic Calculus for Finance I: The Binomial Asset Pricing Model" by Steven E. Shreve
- This book serves as an introduction to stochastic calculus in the context of finance, starting with the binomial model and building up to more advanced topics.
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"Stochastic Calculus for Finance II: Continuous-Time Models" by Steven E. Shreve
- A continuation of the first volume, this book covers continuous-time models and is essential for understanding modern financial theory.
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"An Introduction to Stochastic Calculus with Applications to Finance" by Avellaneda, M. (ed.)
- This textbook introduces stochastic calculus concepts and their applications in finance, suitable for graduate-level study.
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"Tools for Computational Finance" by Umberto Cherubini, Giovanni Della Lunga, Giuseppe Della Lunga, and Emanuele M. Della Lunga
- This book combines stochastic calculus with computational techniques, with a focus on practical applications in finance.
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"Stochastic Calculus and Financial Applications" by Steven E. Shreve
- This text serves both as an introduction to stochastic calculus and a guide to its applications in finance, with clear explanations and practical examples.
Each of these books provides a solid foundation in their respective areas, and they incorporate both theory and practical applications to enhance understanding.