Loan Amortization and Linear Difference Equations

Kód výsledku v 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>

Výsledek na webu

<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

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Jazyk výsledku

angličtina

Název v původním jazyce

Loan Amortization and Linear Difference Equations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Loan Amortization and Linear Difference Equations

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

AM - Pedagogika a školství

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

Enterprise and Competitive Environment: Conference Proceedings

ISBN

978-80-7509-342-4

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

783-790

Název nakladatele

Mendelova univerzita v Brně

Místo vydání

Brno

Místo konání akce

Brno

Datum konání akce

5. 3. 2015

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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