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Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications - BSDEs with Jumps (Paperback, 2013 ed.)
Loot Price: R2,638
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Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications - BSDEs with Jumps (Paperback, 2013 ed.)
Series: EAA Series
Expected to ship within 10 - 15 working days
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Backward stochastic differential equations with jumps can be used
to solve problems in both finance and insurance. Part I of this
book presents the theory of BSDEs with Lipschitz generators driven
by a Brownian motion and a compensated random measure, with an
emphasis on those generated by step processes and Levy processes.
It discusses key results and techniques (including numerical
algorithms) for BSDEs with jumps and studies filtration-consistent
nonlinear expectations and g-expectations. Part I also focuses on
the mathematical tools and proofs which are crucial for
understanding the theory. Part II investigates actuarial and
financial applications of BSDEs with jumps. It considers a general
financial and insurance model and deals with pricing and hedging of
insurance equity-linked claims and asset-liability management
problems. It additionally investigates perfect hedging,
superhedging, quadratic optimization, utility maximization,
indifference pricing, ambiguity risk minimization, no-good-deal
pricing and dynamic risk measures. Part III presents some other
useful classes of BSDEs and their applications. This book will make
BSDEs more accessible to those who are interested in applying these
equations to actuarial and financial problems. It will be
beneficial to students and researchers in mathematical finance,
risk measures, portfolio optimization as well as actuarial
practitioners.
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