{"title":"不确定情况下小额贷款无违约的概率","authors":"Perpetual Andam Boiquaye, Philip Protter","doi":"10.1007/s10436-024-00455-4","DOIUrl":null,"url":null,"abstract":"<div><p>Microloans are important to the underprivileged. It helps those in need make ends meet and maintain daily activities. While not yet a life-changing tool, it can significantly impact women’s empowerment in rural areas worldwide. This is a cost-effective method of assisting those in need. The unpredictable behavior of both borrowers and lenders is a major worry in microlending. Especially in terms of borrowers repaying their debts with interest and lenders remaining economically feasible. To accomplish this, we develop a model that explains the wealth dynamics of women selling inexpensive goods from baskets on their heads while incorporating uncertainty. We use a mathematical approach to estimate the probability of no default. We demonstrate that the lender should charge an interest rate based on the lending cost while taking into account the drift and the business’s uncertainties. This will allow them to repay their loan with interest without defaulting, as well as make lending more sustainable.</p></div>","PeriodicalId":45289,"journal":{"name":"Annals of Finance","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Probability of no default for a microloan under uncertainty\",\"authors\":\"Perpetual Andam Boiquaye, Philip Protter\",\"doi\":\"10.1007/s10436-024-00455-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Microloans are important to the underprivileged. It helps those in need make ends meet and maintain daily activities. While not yet a life-changing tool, it can significantly impact women’s empowerment in rural areas worldwide. This is a cost-effective method of assisting those in need. The unpredictable behavior of both borrowers and lenders is a major worry in microlending. Especially in terms of borrowers repaying their debts with interest and lenders remaining economically feasible. To accomplish this, we develop a model that explains the wealth dynamics of women selling inexpensive goods from baskets on their heads while incorporating uncertainty. We use a mathematical approach to estimate the probability of no default. We demonstrate that the lender should charge an interest rate based on the lending cost while taking into account the drift and the business’s uncertainties. This will allow them to repay their loan with interest without defaulting, as well as make lending more sustainable.</p></div>\",\"PeriodicalId\":45289,\"journal\":{\"name\":\"Annals of Finance\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10436-024-00455-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Finance","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s10436-024-00455-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
Probability of no default for a microloan under uncertainty
Microloans are important to the underprivileged. It helps those in need make ends meet and maintain daily activities. While not yet a life-changing tool, it can significantly impact women’s empowerment in rural areas worldwide. This is a cost-effective method of assisting those in need. The unpredictable behavior of both borrowers and lenders is a major worry in microlending. Especially in terms of borrowers repaying their debts with interest and lenders remaining economically feasible. To accomplish this, we develop a model that explains the wealth dynamics of women selling inexpensive goods from baskets on their heads while incorporating uncertainty. We use a mathematical approach to estimate the probability of no default. We demonstrate that the lender should charge an interest rate based on the lending cost while taking into account the drift and the business’s uncertainties. This will allow them to repay their loan with interest without defaulting, as well as make lending more sustainable.
期刊介绍:
Annals of Finance provides an outlet for original research in all areas of finance and its applications to other disciplines having a clear and substantive link to the general theme of finance. In particular, innovative research papers of moderate length of the highest quality in all scientific areas that are motivated by the analysis of financial problems will be considered. Annals of Finance''s scope encompasses - but is not limited to - the following areas: accounting and finance, asset pricing, banking and finance, capital markets and finance, computational finance, corporate finance, derivatives, dynamical and chaotic systems in finance, economics and finance, empirical finance, experimental finance, finance and the theory of the firm, financial econometrics, financial institutions, mathematical finance, money and finance, portfolio analysis, regulation, stochastic analysis and finance, stock market analysis, systemic risk and financial stability. Annals of Finance also publishes special issues on any topic in finance and its applications of current interest. A small section, entitled finance notes, will be devoted solely to publishing short articles – up to ten pages in length, of substantial interest in finance. Officially cited as: Ann Finance