LEADER 05342nam 2200709Ia 450 001 9910139467903321 005 20180130032832.0 010 $a1-118-62241-3 010 $a1-282-16539-9 010 $a9786612165399 010 $a0-470-61169-3 010 $a0-470-39432-3 035 $a(CKB)2550000000005843 035 $a(EBL)477631 035 $a(OCoLC)520990367 035 $a(SSID)ssj0000354433 035 $a(PQKBManifestationID)11295329 035 $a(PQKBTitleCode)TC0000354433 035 $a(PQKBWorkID)10314138 035 $a(PQKB)11391027 035 $a(MiAaPQ)EBC477631 035 $a(PPN)151169438 035 $a(EXLCZ)992550000000005843 100 $a20080606d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical fianance$b[electronic resource] $edeterministic and stochastic models /$fJacques Janssen, Raimondo Manca, Ernesto Volpe di Prignano 210 $aLondon $cISTE ;$aHoboken, N.J. $cJohn Wiley$d2009 215 $a1 online resource (874 p.) 225 1 $aISTE ;$vv.83 300 $aDescription based upon print version of record. 311 $a1-84821-081-7 320 $aIncludes bibliographical references and index. 327 $aMathematical Finance: Deterministic and Stochastic Models; Table of Contents; Preface; Part I. Deterministic Models; Chapter 1. Introductory Elements to Financial Mathematics; 1.1. The object of traditional financial mathematics; 1.2. Financial supplies. Preference and indifference relations; 1.2.1. The subjective aspect of preferences; 1.2.2. Objective aspects of financial laws. The equivalence principle; 1.3. The dimensional viewpoint of financial quantities; Chapter 2. Theory of Financial Laws; 2.1. Indifference relations and exchange laws for simple financial operations 327 $a2.2. Two variable laws and exchange factors2.3. Derived quantities in the accumulation and discount laws; 2.3.1. Accumulation; 2.3.2. Discounting; 2.4. Decomposable financial lawas; 2.4.1. Weak and strong decomposability properties: equivalence relations; 2.4.2. Equivalence classes: characteristic properties of decomposable laws; 2.5. Uniform financial laws: mean evaluations; 2.5.1. Theory of uniform exchange laws; 2.5.2. An outline of associative averages; 2.5.3. Average duration and average maturity; 2.5.4. Average index of return: average rate 327 $a2.6. Uniform decomposable financial laws: exponential regimeChapter 3. Uniform Regimes in Financial Practice; 3.1. Preliminary comments; 3.1.1. Equivalent rates and intensities; 3.2. The regime of simple delayed interest (SDI); 3.3. The regime of rational discount (RD); 3.4. The regime of simple discount (SD); 3.5. The regime of simple advance interest (SAI); 3.6. Comments on the SDI, RD, SD and SAI uniform regimes; 3.6.1. Exchange factors (EF); 3.6.2. Corrective operations; 3.6.3. Initial averaged intensities and instantaneous intensity 327 $a3.6.4. Average length in the linear law and their conjugates3.6.5. Average rates in linear law and their conjugated laws; 3.7. The compound interest regime; 3.7.1. Conversion of interests; 3.7.2. The regime of discretely compound interest (DCI); 3.7.3. The regime of continuously compound interest (CCI); 3.8. The regime of continuously comound discount (CCD); 3.9. Complements and exercises on compound regimes; 3.10. Comparison of laws of different regimes; Chapter 4. Financial Operations and their Evaluation: Decisional Criteria; 4.1. Calculation of capital values: fairness 327 $a4.2. Retrospective and prospective reserve4.3. Usufruct and bare ownership in "discrete" and "continuous" cases; 4.4. Methods and models for financial decisions and choices; 4.4.1. Internal rate as return index; 4.4.2. Outline on GDCF and "internal financial law"; 4.4.3. Classifications and propert of financial projects; 4.4.4. Decisional criteria for financial projects; 4.4.5. Choice criteria for mutually exclusive financial projects; 4.4.6. Mixed projects: the TRM method; 4.4.7. Dicisional criteria on mixed projects; 4.5. Appendix: outline on numberical methods for the solution of equations 327 $a4.5.1. General aspects 330 $aThis book provides a detailed study of Financial Mathematics. In addition to the extraordinary depth the book provides, it offers a study of the axiomatic approach that is ideally suited for analyzing financial problems. This book is addressed to MBA's, Financial Engineers, Applied Mathematicians, Banks, Insurance Companies, and Students of Business School, of Economics, of Applied Mathematics, of Financial Engineering, Banks, and more. 410 0$aISTE 606 $aFinance$xMathematical models 606 $aStochastic processes 606 $aInvestments$xMathematics 615 0$aFinance$xMathematical models. 615 0$aStochastic processes. 615 0$aInvestments$xMathematics. 676 $a332.01/51922 676 $a332.0151 700 $aJanssen$b Jacques$f1939-$0102056 701 $aManca$b Raimondo$0327298 701 $aVolpe di Prignano$b Ernesto$068753 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910139467903321 996 $aMathematical fianance$92054510 997 $aUNINA