Rigorous mathematical finance relies strongly on two additional
fields: optimal stopping and stochastic analysis. This book is the
first one which presents not only main results in the mathematical
finance but also these 'related topics' with all proofs and in a
self-contained form. The book treats both discrete and continuous
time mathematical finance. Some topics, such as Israeli (game)
contingent claims, and several proofs have not appeared before in a
self-contained book form. The book contains exercises with
solutions at the end of it and it can be used for a yearlong
advanced graduate course for mathematical students.
General
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