Mathematical fianance [[electronic resource] ] : deterministic and stochastic models / / Jacques Janssen, Raimondo Manca, Ernesto Volpe di Prignano

• Autore: Janssen Jacques <1939->
• Pubblicazione: London, : ISTE; Hoboken, N.J., : John Wiley, 2009
• Descrizione fisica: 1 online resource (874 p.)
• Disciplina: 332.01/51922; 332.0151
• Soggetto topico: Finance - Mathematical models; Stochastic processes; Investments - Mathematics
• Altri autori: MancaRaimondo Volpe di PrignanoErnesto
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 operations ; 2.2. 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 ; 2.6. 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 ; 3.6.4. 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 ; 4.2. 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 ; 4.5.1. General aspects
• Sommario/riassunto: This 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.
• Titolo autorizzato: Mathematical fianance
• ISBN: 1-118-62241-3; 1-282-16539-9; 9786612165399; 0-470-61169-3; 0-470-39432-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910139467903321
• Lo trovi qui: Univ. Federico II
• Serie: ISTE