Several Products of Financial Mathematics as Linear Difference Equations

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43110%2F19%3A43915130" target="_blank" >RIV/62156489:43110/19:43915130 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Several Products of Financial Mathematics as Linear Difference Equations
Popis výsledku v původním jazyce
This paper focuses on applications of linear difference equations in the field of finance. A basic linear difference equation of the first order appearing in financial mathematics is described and its general solution is derived. It is shown that this solution represents an universal formula for calculating some financial products. Finally, using this solution we express appropriate formulas of finance, namely compound interest, the future and the present value of annuity due and ordinary annuity and loan amortization.
Název v anglickém jazyce
Several Products of Financial Mathematics as Linear Difference Equations
Popis výsledku anglicky
This paper focuses on applications of linear difference equations in the field of finance. A basic linear difference equation of the first order appearing in financial mathematics is described and its general solution is derived. It is shown that this solution represents an universal formula for calculating some financial products. Finally, using this solution we express appropriate formulas of finance, namely compound interest, the future and the present value of annuity due and ordinary annuity and loan amortization.

Druh
D - Stať ve sborníku
CEP obor
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OECD FORD obor
50302 - Education, special (to gifted persons, those with learning disabilities)

Projekt
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Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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