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035 _a(ATU)b11026170
035 _a(DLC) 2003063342
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042 _apcc
050 0 0 _aHG106
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082 0 0 _a332.0151922
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100 1 _aShreve, Steven E.,
_eauthor.
_91054531
245 1 0 _aStochastic calculus for finance /
_cSteven E. Shreve.
264 1 _aNew York :
_bSpringer,
_c[2004]
264 4 _c©2004
300 _a2 volumes :
_billustrations ;
_c24 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aSpringer finance. Textbook
490 1 _aSpringer finance
504 _aIncludes bibliographical references and index.
505 1 _av. 1. The binomial asset pricing model -- Probability Theory on Coin Toss Space -- State Prices -- American Derivative Securities -- Random Walk -- Interest-Rate-Dependent Assets -- Proof of Fundamental Properties of Conditional Expectations.
505 1 _av. 2. General Probability Theory -- Information and Conditioning -- Brownian Motion -- Stochastic Calculus -- Risk-Neutral Pricing -- Connections with Partial Differential Equations -- Exotic Options -- American Derivative Securities -- Change of Numeraire -- Term Structure Models -- Introduction to Jump Processes -- Advanced Topics in Probability Theory -- Existence of Conditional Expectations -- Completion of Proof of Second Fundamental Theorem of Asset Pricing.
520 _a"Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master's program in Computational Finance. The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for stochastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes. This book is being published in two volumes. This second volume develops stochastic calculus, martingales, risk-neutral pricing, exotic options and term structure models, all in continuous time. Masters level students and researchers in mathematical finance and financial engineering will find this book useful." -- Publisher
588 _aMachine converted from AACR2 source record.
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