05342nam 2200709Ia 450 991067746600332120180130032832.01-118-62241-31-282-16539-997866121653990-470-61169-30-470-39432-3(CKB)2550000000005843(EBL)477631(OCoLC)520990367(SSID)ssj0000354433(PQKBManifestationID)11295329(PQKBTitleCode)TC0000354433(PQKBWorkID)10314138(PQKB)11391027(MiAaPQ)EBC477631(PPN)151169438(EXLCZ)99255000000000584320080606d2009 uy 0engur|n|---|||||txtccrMathematical fianance[electronic resource] deterministic and stochastic models /Jacques Janssen, Raimondo Manca, Ernesto Volpe di PrignanoLondon ISTE ;Hoboken, N.J. John Wiley20091 online resource (874 p.)ISTE ;v.83Description based upon print version of record.1-84821-081-7 Includes bibliographical references and index.Mathematical 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 operations2.2. 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 rate2.6. 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 intensity3.6.4. 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: fairness4.2. 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 equations4.5.1. General aspectsThis 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.ISTEFinanceMathematical modelsStochastic processesInvestmentsMathematicsFinanceMathematical models.Stochastic processes.InvestmentsMathematics.332.01/51922332.0151Janssen Jacques1939-102056Manca Raimondo327298Volpe di Prignano Ernesto68753MiAaPQMiAaPQMiAaPQBOOK9910677466003321Mathematical fianance3071481UNINA