ANALYSIS OF MODELS OF EARLY DEBT REPAYMENT IN THE Generalized CREDIT TRANSACTIONS
Civil Aviation High TECHNOLOGIES
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Title |
ANALYSIS OF MODELS OF EARLY DEBT REPAYMENT IN THE Generalized CREDIT TRANSACTIONS
АНАЛИЗ МОДЕЛЕЙ ДОСРОЧНОГО ПОГАШЕНИЯ ДОЛГА В ОБОБЩЕННЫХ КРЕДИТНЫХ СДЕЛКАХ |
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Creator |
Юрий Касимов Федорович; МГТУ ГА
Алексей Колесников Николаевич; Финансовый университет при правительстве РФ |
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Subject |
Обобщенные кредитные сделки; досрочное погашение долга; погасительный поток платежей; правило 78
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Description |
This paper analyzes the patterns of early repayment in multi-period credit transactions. Considered one of the most common ways of conversion of unpaid interest for early repayment, so-called 78 rule. The relationship of this rule with the linear approximation of the exact value; redeemable debt is determined. The analysis of the maximum excess payment of interest on 78 rule. It has been shown how interest payment on 78 rule depended on the time of early repayment. Early repayment of debt is an agreement under which the borrower pays to the lender amount of money equal to the current balance (as of loan account). Then further regular payments cease and the contract terminates. However, the amount of outstanding debt is determined by the structure of prescription charges. So in the uniform schemes of repayment of consumer credit each payment contains the same part of principal amounts and the total interest. In case of early repayment the Bank loses a significant fraction of the expected interest payments. Therefore, in practice, often used so-called accelerated schemes of interest payments. One of them is 78 rule. Use the 78 rule is simple and straightforward. The name of the rule is due to the fact that the sum of the numbers 12 monthly payments is 78. In the schemes of consumer loan with a term of one year interest payment for the current month is equal to m/78 of the total amount of interest payments, where m is the number of remaining payments. The rule name is stored and in the more general case with an arbitrary number of payments. In general interest payment is determined by the relative weight of the total amount of interest in each payment. In uniform schemes it is constant. In accelerated with a particular speed decreases. Therefore, additional cash expenses by the 78 rule may be considered as additional penalties for early repayment of the debt. It this article is shown how this penalty depends on time before maturity. It is shown that the magnitude of these penalties in monetary terms reaches the maximum value when the loan is repaid early between half and two thirds of the total of the loan term.
Работа посвящена анализу моделей досрочного погашения долга в многопериодных кредитных сделках. Рассматривается одна из наиболее распространенных схем пересчета невыплаченных процентов при досрочном погашении, так называемое правило 78. Показана связь этого правила с линейной аппроксимацией точной величины погашаемого долга. Приведен анализ максимального избытка выплачиваемых процентов по правилу 78. Показана зависимость эффективной доходности погашения по правилу 78 от момента досрочного погашения. |
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Publisher |
Moscow State Technical University of Civil Aviation (MSTU CA)
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Date |
2016-12-27
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Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion — |
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Format |
application/pdf
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Identifier |
http://avia.mstuca.ru/jour/article/view/860
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Source |
Civil Aviation High TECHNOLOGIES; № 224 (2016); 115-125
Научный вестник МГТУ ГА; № 224 (2016); 115-125 2079-0619 |
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Language |
rus
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Relation |
http://avia.mstuca.ru/jour/article/view/860/739
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Rights |
Authors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
Авторы, публикующие в данном журнале, соглашаются со следующим:Авторы сохраняют за собой авторские права на работу и предоставляют журналу право первой публикации работы на условиях лицензии Creative Commons Attribution License, которая позволяет другим распространять данную работу с обязательным сохранением ссылок на авторов оригинальной работы и оригинальную публикацию в этом журнале.Авторы сохраняют право заключать отдельные контрактные договорённости, касающиеся не-эксклюзивного распространения версии работы в опубликованном здесь виде (например, размещение ее в институтском хранилище, публикацию в книге), со ссылкой на ее оригинальную публикацию в этом журнале.Авторы имеют право размещать их работу в сети Интернет (например в институтском хранилище или персональном сайте) до и во время процесса рассмотрения ее данным журналом, так как это может привести к продуктивному обсуждению и большему количеству ссылок на данную работу (См. The Effect of Open Access). |
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