000 03737nam a22005175i 4500
001 978-3-031-02399-6
003 DE-He213
005 20240730164120.0
007 cr nn 008mamaa
008 220601s2010 sz | s |||| 0|eng d
020 _a9783031023996
_9978-3-031-02399-6
024 7 _a10.1007/978-3-031-02399-6
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aAnderson, Greg.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982204
245 1 0 _aLectures on Financial Mathematics
_h[electronic resource] :
_bDiscrete Asset Pricing /
_cby Greg Anderson, Alec Kercheval.
250 _a1st ed. 2010.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2010.
300 _aXI, 51 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aOverture: Single-Period Models -- The General Discrete Model -- The Fundamental Theorems of Asset Pricing -- Forwards and Futures -- Incomplete Markets.
520 _aThis is a short book on the fundamental concepts of the no-arbitrage theory of pricing financial derivatives. Its scope is limited to the general discrete setting of models for which the set of possible states is finite and so is the set of possible trading times--this includes the popular binomial tree model. This setting has the advantage of being fairly general while not requiring a sophisticated understanding of analysis at the graduate level. Topics include understanding the several variants of "arbitrage", the fundamental theorems of asset pricing in terms of martingale measures, and applications to forwards and futures. The authors' motivation is to present the material in a way that clarifies as much as possible why the often confusing basic facts are true. Therefore the ideas are organized from a mathematical point of view with the emphasis on understanding exactly what is under the hood and how it works. Every effort is made to include complete explanations and proofs, and the reader is encouraged to work through the exercises throughout the book. The intended audience is students and other readers who have an undergraduate background in mathematics, including exposure to linear algebra, some advanced calculus, and basic probability. The book has been used in earlier forms with students in the MS program in Financial Mathematics at Florida State University, and is a suitable text for students at that level. Students who seek a second look at these topics may also find this book useful. Table of Contents: Overture: Single-Period Models / The General Discrete Model / The Fundamental Theorems of Asset Pricing / Forwards and Futures / Incomplete Markets.
650 0 _aMathematics.
_911584
650 0 _aStatistics .
_931616
650 0 _aEngineering mathematics.
_93254
650 1 4 _aMathematics.
_911584
650 2 4 _aStatistics.
_914134
650 2 4 _aEngineering Mathematics.
_93254
700 1 _aKercheval, Alec.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982205
710 2 _aSpringerLink (Online service)
_982206
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031012716
776 0 8 _iPrinted edition:
_z9783031035272
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_982207
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02399-6
912 _aZDB-2-SXSC
942 _cEBK
999 _c85318
_d85318