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
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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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
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Czech description
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Classification
Type
Jost - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
50206 - Finance
Result continuities
Project
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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
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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
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EID of the result in the Scopus database
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Result type
Jost - Miscellaneous article in a specialist periodical
OECD FORD
Finance
Year of implementation
2011