Loan Transactions with Random Dates for the First and Last Periodic Instalments

Usually, loan transactions contracted in practice are nonrandom; that is to say, all amounts received (principal) and paid (period instalments) by the borrower are previously agreed with the lender, as well as their respective dates. In this paper, two new alternative loan models are introduced, dep...

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Main Authors: María del Carmen Valls Martínez, Salvador Cruz Rambaud
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2016/2152189
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author María del Carmen Valls Martínez
Salvador Cruz Rambaud
author_facet María del Carmen Valls Martínez
Salvador Cruz Rambaud
author_sort María del Carmen Valls Martínez
collection DOAJ
description Usually, loan transactions contracted in practice are nonrandom; that is to say, all amounts received (principal) and paid (period instalments) by the borrower are previously agreed with the lender, as well as their respective dates. In this paper, two new alternative loan models are introduced, depending on whether the borrower survives or not to fulfil all repayment obligations. In this way, either the initial or the final date of repayments can be subject to this contingency. Additionally, the different parameters of such random transactions are determined, as well as several measures of profitability/cost for the lender/borrower, respectively. These transactions can be attractive for both the lender and the borrower, which therefore make them worthy of consideration and subsequent implementation for the benefit of both parties.
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institution Kabale University
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-44c6ad6e58d04a34b37c94bb086cfbe32025-02-03T06:06:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/21521892152189Loan Transactions with Random Dates for the First and Last Periodic InstalmentsMaría del Carmen Valls Martínez0Salvador Cruz Rambaud1Departamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano s/n, 04120 Almería, SpainDepartamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano s/n, 04120 Almería, SpainUsually, loan transactions contracted in practice are nonrandom; that is to say, all amounts received (principal) and paid (period instalments) by the borrower are previously agreed with the lender, as well as their respective dates. In this paper, two new alternative loan models are introduced, depending on whether the borrower survives or not to fulfil all repayment obligations. In this way, either the initial or the final date of repayments can be subject to this contingency. Additionally, the different parameters of such random transactions are determined, as well as several measures of profitability/cost for the lender/borrower, respectively. These transactions can be attractive for both the lender and the borrower, which therefore make them worthy of consideration and subsequent implementation for the benefit of both parties.http://dx.doi.org/10.1155/2016/2152189
spellingShingle María del Carmen Valls Martínez
Salvador Cruz Rambaud
Loan Transactions with Random Dates for the First and Last Periodic Instalments
International Journal of Mathematics and Mathematical Sciences
title Loan Transactions with Random Dates for the First and Last Periodic Instalments
title_full Loan Transactions with Random Dates for the First and Last Periodic Instalments
title_fullStr Loan Transactions with Random Dates for the First and Last Periodic Instalments
title_full_unstemmed Loan Transactions with Random Dates for the First and Last Periodic Instalments
title_short Loan Transactions with Random Dates for the First and Last Periodic Instalments
title_sort loan transactions with random dates for the first and last periodic instalments
url http://dx.doi.org/10.1155/2016/2152189
work_keys_str_mv AT mariadelcarmenvallsmartinez loantransactionswithrandomdatesforthefirstandlastperiodicinstalments
AT salvadorcruzrambaud loantransactionswithrandomdatesforthefirstandlastperiodicinstalments