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Titlebook: Mathematical Finance and Probability; A Discrete Introduct Pablo Koch Medina,Sandro Merino Textbook 2003 Birkh�user Verlag 2003 Asset Prici

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发表于 2025-3-21 19:46:35 | 显示全部楼层 |阅读模式
书目名称Mathematical Finance and Probability
副标题A Discrete Introduct
编辑Pablo Koch Medina,Sandro Merino
视频video
图书封面Titlebook: Mathematical Finance and Probability; A Discrete Introduct Pablo Koch Medina,Sandro Merino Textbook 2003 Birkh�user Verlag 2003 Asset Prici
描述On what grounds can one reasonably expect that a complex financial contract solving a complex real-world issue does not deserve the same thorough scientific treatment as an aeroplane wing or a micro-proces­ sor? Only ignorance would suggest such an idea. E. Briys and F. De Varenne The objective of this book is to give a self-contained presentation of that part of mathematical finance devoted to the pricing of derivative instruments. During the past two decades the pricing of financial derivatives - or more generally: mathematical finance - has steadily won in importance both within the financial services industry and within the academic world. The complexity of the mathemat­ ics needed to master derivatives techniques naturally resulted in a high demand for quantitatively oriented professionals (mostly mathematicians and physicists) in the banking and insurance world. This in turn triggered a demand for university courses on the relevant topics and at the same time confronted the mathematical community with an interesting field of application for many techniques that had originally been developed for other purposes. Most probably this development was accelerated by an ever more app
出版日期Textbook 2003
关键词Asset Pricing; Excel; Markov Chain; Markov Chains; Measure; Options; Portfolio; Probability space; Probabili
版次1
doihttps://doi.org/10.1007/978-3-0348-8041-1
isbn_softcover978-3-7643-6921-7
isbn_ebook978-3-0348-8041-1
copyrightBirkh�user Verlag 2003
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Positive Linear Functionals, constitutes the main technical tool for the proofs of the fundamental theorems of contingent claim pricing. Positive functionals play a prominent role in our considerations since they correspond to pricing functionals in arbitrage-free markets. The linear algebra needed here is summarized in Append
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Multi-Period Models:The Main Issues,n proceed to establish the equivalence of the existence of a linear pricing functional and the validity of the Law of One Price. The next step is the equivalence of the existence of strongly positive linear pricing functionals and the absence of arbitrage opportunities. We finalize the chapter by tr
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The Fundamental Theorems of Asset Pricing, equivalent martingale measures in terms of absence of arbitrage and market completeness, respectively. We mimic the approach adopted in Chapter 6 for one-period models. Compared to the one-period case, the only additional difficulty is essentially, that the proof of the correspondence between stric
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,The Cox—Ross—Rubinstein Model,ulti-period generalization of the one-period model considered in Chapter 2. Building on this model and the central limit theorem, Chapter 14 will provide a complete derivation of the celebrated Black—Scholes option pricing formula.
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