Investment, Consumption, and Pricing in Constrained and Unbounded Markets

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· Financial Mathematics Book 3 · SIAM
Ebook
131
Pages
Eligible

About this ebook

The monograph addresses three fundamental issues in a financial market: investment, consumption, and pricing using the cutting-edge quadratic backward stochastic differential equation (BSDE). The book provides an unprecedented systematic application of the theory of quadratic BSDEs to general utility maximization problems in constrained and unbounded financial markets. It also includes the first treatment of general Epstein-Zin utility maximization problems with portfolio constraints in a non-Markovian framework, marking significant progress in the dynamic investment-consumption problems. This monograph serves as an excellent entry point for research students and early-career researchers in mathematical finance by offering a clear pathway into the field with practical examples.

This monograph is intended for advanced graduate students and early-career researchers in financial mathematics and engineering.

The monograph addresses three fundamental issues in a financial market: investment, consumption, and pricing using the cutting-edge quadratic backward stochastic differential equation (BSDE). The book provides an unprecedented systematic application of the theory of quadratic BSDEs to general uti...

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About the author

Ying Hu is a Professor at Institut de Recherche Mathématique de Rennes, Université de Rennes. He held a postdoctoral position at Aix Marseille Université and served as a lecturer at Lyon 1 Université, Université Clermont Auvergne, and École Polytechnique Fédérale de Lausanne before joining Université de Rennes in 1997.

Gechun Liang is a Professor in the Department of Statistics at the University of Warwick. He was a postdoctoral fellow at the Oxford-Man Institute of Quantitative Finance, a lecturer at King’s College London, and a senior fellow and Marie Curie fellow at the Freiburg Institute for Advanced Studies at the University of Freiburg.

Shanjian Tang is a Professor at Fudan University. He was a visiting associate professor at Aix Marseille Université, a Croucher scholar at the Hong Kong Polytechnic University, an Alexander von Humboldt research fellow at Konstanz Universitaet, and a World Class University Invited Professor at Ajou University. He was elected a Chinese SIAM fellow in October 2021.

Ying Hu is a Professor at Institut de Recherche Mathématique de Rennes, Université de Rennes. He held a postdoctoral position at Aix Marseille Université and served as a lecturer at Lyon 1 Université, Université Clermont Auvergne, and École Polytechnique Fédérale de Lausanne before joining Univer...

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