Present Values, Segmentation and Approximation Theory

Business & Finance, Finance & Investing, Banks & Banking
Cover of the book Present Values, Segmentation and Approximation Theory by Burkhard Disch, GRIN Publishing
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Author: Burkhard Disch ISBN: 9783640649204
Publisher: GRIN Publishing Publication: June 23, 2010
Imprint: GRIN Publishing Language: English
Author: Burkhard Disch
ISBN: 9783640649204
Publisher: GRIN Publishing
Publication: June 23, 2010
Imprint: GRIN Publishing
Language: English

Scientific Essay from the year 2005 in the subject Business economics - Banking, Stock Exchanges, Insurance, Accounting, Deutsche Gesellschaft für Versicherungs- und Finanzmathematik e.V. , language: English, abstract: Summary This paper describes a method for computing present values for a part (segment) of a given collective with the help of the corresponding present value for the whole collective. The algorithm is given by introducing a special norm via an inner product from the present value of the whole collective. The integral is solved by approximating a function which shows the selection and the best approximation on the integrand for the present value of the whole collective. Examples demonstrate the procedure. Zusammenfassung Barwerte, Segmentierung und Approximationstheorie Inhalt der Ausarbeitung ist eine Methode zur Berechnung der Barwerte für ein segmentiertes Kollektiv unter Benutzung des entsprechenden Barwertes für das ganze Kollektiv. Der Algorithmus ist definiert über eine Norm auf dem Raum der mindestens einmal stetig differenzierbaren Funktionen, induziert über ein Inneres Produkt, definiert unter Zuhilfenahme des Barwerts für das gesamte Kollektiv. Das der Barwertberechnung zugrundeliegende Integral wird durch einfache Auswertung eines geschlossenen Funktionsausdrucks - der aus der expliziten Lösung des Integrals folgt - und der besten Approximation bezüglich der so definierten Norm berechnet. Beispiele demonstrieren die Vorgehensweise.

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Scientific Essay from the year 2005 in the subject Business economics - Banking, Stock Exchanges, Insurance, Accounting, Deutsche Gesellschaft für Versicherungs- und Finanzmathematik e.V. , language: English, abstract: Summary This paper describes a method for computing present values for a part (segment) of a given collective with the help of the corresponding present value for the whole collective. The algorithm is given by introducing a special norm via an inner product from the present value of the whole collective. The integral is solved by approximating a function which shows the selection and the best approximation on the integrand for the present value of the whole collective. Examples demonstrate the procedure. Zusammenfassung Barwerte, Segmentierung und Approximationstheorie Inhalt der Ausarbeitung ist eine Methode zur Berechnung der Barwerte für ein segmentiertes Kollektiv unter Benutzung des entsprechenden Barwertes für das ganze Kollektiv. Der Algorithmus ist definiert über eine Norm auf dem Raum der mindestens einmal stetig differenzierbaren Funktionen, induziert über ein Inneres Produkt, definiert unter Zuhilfenahme des Barwerts für das gesamte Kollektiv. Das der Barwertberechnung zugrundeliegende Integral wird durch einfache Auswertung eines geschlossenen Funktionsausdrucks - der aus der expliziten Lösung des Integrals folgt - und der besten Approximation bezüglich der so definierten Norm berechnet. Beispiele demonstrieren die Vorgehensweise.

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