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Loan Amortization and Linear Difference Equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43110%2F15%3A43906556" target="_blank" >RIV/62156489:43110/15:43906556 - isvavai.cz</a>

  • Result on the web

    <a href="https://ece.pefka.mendelu.cz/sites/default/files/imce/ece_2015_final.pdf" target="_blank" >https://ece.pefka.mendelu.cz/sites/default/files/imce/ece_2015_final.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Loan Amortization and Linear Difference Equations

  • Original language description

    The contribution deals with the application of difference equations in financial mathematics and shows mathematical approach to problem solving in the fields of loan repayment and simple and compound interest. The example of loan amortization is demonstrated. The computational scheme for this problem leads to the first order linear nonhomogeneous difference equation with constant coefficients. Using mathematical procedure for solving difference equations the loan repayment formula is derived. An illustrative example is given and solved in this manner. The corresponding mathematical computations are also performed through the Maple software and the online service Wolfram|Alpha. The capabilities of both computer algebra systems for computing the mentioned problem are compared. The main aim is to show the use of mathematical theoretical knowledge for deriving certain formulas of financial topics.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    AM - Pedagogy and education

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Enterprise and Competitive Environment: Conference Proceedings

  • ISBN

    978-80-7509-342-4

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    783-790

  • Publisher name

    Mendelova univerzita v Brně

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Mar 5, 2015

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article