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Equivalency Principles in Financial Mathematics

Result description

Showing an alternative introduction of the basic concepts of financial mathematics is the main goal of this paper. Almost all classic courses of financial mathematics start with the concepts of different types of interest that is regarded as a reward orcost in return for lending or borrowing money. This enables introduction of other concepts such as interest rates, accumulated values, discounted values, and so on. This paper describes another way. It is possible to proceed from the well-known and obvious fact that the real value of money is changed with time and define an equivalency of two values of money due at different times. Two sorts of the equivalencies are defined, the equivalence at simple and compound interest. The former does not have transitivity property, while the later does. It sometimes leads to inconsistencies at solving financial problems based on simple interest. An example illustrates the problem in question. Further an equivalency of two sets of values is introduc

Keywords

time value of moneyequivalency at simple interestequivalency at compound interesttransitivityequation of valueinternal rate of returnnet premium

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Equivalency Principles in Financial Mathematics

  • Original language description

    Showing an alternative introduction of the basic concepts of financial mathematics is the main goal of this paper. Almost all classic courses of financial mathematics start with the concepts of different types of interest that is regarded as a reward orcost in return for lending or borrowing money. This enables introduction of other concepts such as interest rates, accumulated values, discounted values, and so on. This paper describes another way. It is possible to proceed from the well-known and obvious fact that the real value of money is changed with time and define an equivalency of two values of money due at different times. Two sorts of the equivalencies are defined, the equivalence at simple and compound interest. The former does not have transitivity property, while the later does. It sometimes leads to inconsistencies at solving financial problems based on simple interest. An example illustrates the problem in question. Further an equivalency of two sets of values is introduc

  • Czech name

  • Czech description

Classification

  • Type

    Jost - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    50206 - Finance

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    LOGOS POLYTECHNIKOS

  • ISSN

    1804-3682

  • e-ISSN

  • Volume of the periodical

    2

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    12

  • Pages from-to

    3-14

  • UT code for WoS article

  • EID of the result in the Scopus database

Result type

Jost - Miscellaneous article in a specialist periodical

Jost

OECD FORD

Finance

Year of implementation

2011