000 04999nam a22005655i 4500
001 978-0-8176-8388-7
003 DE-He213
005 20251006084441.0
007 cr nn 008mamaa
008 121213s2013 xxu| s |||| 0|eng d
020 _a9780817683887
020 _a99780817683887
024 7 _a10.1007/978-0-8176-8388-7
_2doi
082 0 4 _a519
_223
100 1 _aBernhard, Pierre.
_eauthor.
245 1 4 _aThe Interval Market Model in Mathematical Finance
_h[electronic resource] :
_bGame-Theoretic Methods /
_cby Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J.M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhäuser,
_c2013.
300 _aXVI, 346 p. 64 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStatic & Dynamic Game Theory: Foundations & Applications
505 0 _aPreface -- Part I Revisiting Two Classic Results in Dynamic Portfolio Management -- Merton's Optimal Dynamic Portfolio Revisited -- Option Pricing: Classic Results -- Introduction -- Part II Hedging in Interval Models -- Fair Price Intervals -- Optimal Hedging Under Robust-Cost Constraints -- Appendix: Proofs -- Continuous and Discrete-Time Option Pricing and Interval Market Model -- Part III Robust-Control Approach to Option Pricing -- Vanilla Options -- Digital Options -- Validation -- Introduction -- Part IV Game-Theoretic Analysis of Rainbow Options in Incomplete Markets -- Emergence of Risk-Neutral Probabilities -- Rainbow Options in Discrete Time, I -- Rainbow Options in Discrete Time, II -- Continuous-Time Limits -- Credit Derivatives -- Computational Methods Based on the Guaranteed Capture Basin Algorithm -- Viability Approach to Complex Option Pricing and Portfolio Insurance -- Asset and Liability Insurance Management (ALIM) for Risk Eradication -- References -- Index.  .
520 _aToward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods. A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: ·         probability-free Black-Scholes theory; ·         fair-price interval of an option; ·         representation formulas and fast algorithms for option pricing; ·         rainbow options; ·         tychastic approach of mathematical finance based upon viability theory. This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.
650 0 _aMATHEMATICS.
650 0 _aFINANCE.
650 0 _aECONOMICS.
650 0 _aECONOMICS, MATHEMATICAL.
650 1 4 _aMATHEMATICS.
650 2 4 _aGAME THEORY, ECONOMICS, SOCIAL AND BEHAV. SCIENCES.
650 2 4 _aGAME THEORY/MATHEMATICAL METHODS.
650 2 4 _aQUANTITATIVE FINANCE.
650 2 4 _aECONOMIC THEORY.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
700 1 _aEngwerda, Jacob C.
_eauthor.
700 1 _aRoorda, Berend.
_eauthor.
700 1 _aSchumacher, J.M.
_eauthor.
700 1 _aKolokoltsov, Vassili.
_eauthor.
700 1 _aSaint-Pierre, Patrick.
_eauthor.
700 1 _aAubin, Jean-Pierre.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817683870
830 0 _aStatic & Dynamic Game Theory: Foundations & Applications
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8388-7
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59906
_d59906