Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T15:23:27.394Z Has data issue: false hasContentIssue false

The repayment of financial debt: some mathematical considerations

Published online by Cambridge University Press:  03 July 2023

John Stubbs
Affiliation:
Department of Environmental Sciences, University of Derby, Kedleston Road, Derby DE22 1GB e-mails: [email protected]; [email protected]
Jacob Adetunji
Affiliation:
Department of Environmental Sciences, University of Derby, Kedleston Road, Derby DE22 1GB e-mails: [email protected]; [email protected]
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper focuses on the mathematics behind the repayment of financial debt. The availability of credit, the inevitable accompaniment of which is debt, is an essential component of a monetised economy. Without it most people would not be able to purchase large items like homes, cars and other expensive consumer durables. Businesses would not expand and prosper without access to credit. However, the debt incurred by the availability of credit can also bring huge stress, and indeed distress, from personal and commercial insolvencies to the inhumanities of debt bondage associated with modern-day slavery and human trafficking. The historical origins of debt lie in antiquity and even pre-date the existence of monetised economies [1].

Type
Articles
Copyright
© The Authors, 2023. Published by Cambridge University Press on behalf of The Mathematical Association

References

Graeber, D., Debt, the first 5000 years, Melville House Publishing, (2014).Google Scholar
Household debt and credit report, Federal Reserve Bank of New York, 2020, accessible at: https://www.newyorkfed.org/microeconomics/hhdc.htmlGoogle Scholar
Credit conditions survey-2019, Q1, Bank of England, accessible at: Credit Conditions Survey - 2019 Q1 | Bank of EnglandGoogle Scholar
Household debt in Great Britain April 2016 – March 2018, Office of National Statistics, 2019, also available at: https://www.ons.gov.uk/peoplepopulationandcommunity/personalandhouseholdfinances/incomeandwealth/bulletins/householddebtingreatbritain/april2016tomarch2018Google Scholar
UK’s unsecured debt mountain reaches £300bn or £11,000 per household exceeding pre-crisis peak by 30%, Price Waterhouse Cooper, 2019, accessible at: https://www.pwc.co.uk/press-room/press-releases/uk_s-unsecured-debtmountain-reaches-p300bn-or-p11-000-per-house.htmlGoogle Scholar
Special series on Covid-19, International Monetary Fund, 2020, accessible at https://www.imf.org/en/Publications/SPROLLs/covid19-special-notes.Google Scholar
COVID-19 is a matter of life and debt, global deal needed. United Nations Conference on Trade and Development (UNCTAD), 23rd April 2020, also available at https://unctad.org/en/pages/newsdetails.aspx?OriginalVersionID=2339Google Scholar
Coronavirus and personal debt: a financial recovery strategy for households, Step Change, Leeds, UK. 2020. Accessible at: Post-Covid Personal Debt Report. StepChangeGoogle Scholar
Household debt and Covid, Bank of England, Quarterly Bulletin, Q2, 2021. Accessible at: Household debt and Covid | Bank of EnglandGoogle Scholar
Sunflowers and scarcity: the Ukraine war’s impact on private debt, Fidelity International, accessed November 2022 at fidelity,in/articles/expert-opinions/sunflowers-and-scarcity-the-ukrainewars-impact-on-private-debtbe9040-m accessed November 2022 at sgp.fas.org/crs/misc/R46578.pdfGoogle Scholar
Covid-19: household debt during the pandemic, Congressional Research Service, 2021. Accessible at: COVID-19: Household Debt During the Pandemic (fas.org)Google Scholar
Kellison, S., The theory of interest (3rd edn.), McGraw-Hill (2009).Google Scholar
Zima, P. and Brown, R., Mathematics of Finance,, McGraw Hill (2011).Google Scholar
Alhabeeb, M., Mathematical finance, Wiley (2012).CrossRefGoogle Scholar
Stubbs, J. and Adetunji, J, UK pension changes in 2015: some mathematical considerations, Math. Gaz. 100 (March 2016) pp. 193202.CrossRefGoogle Scholar
Stubbs, J. and Adetunji, J, Paying for end of life care in the UK, Math. Gaz. 104 (November 2020) pp. 495506.CrossRefGoogle Scholar
Ralston, A. and Rabinowitz, P., A first course in numerical analysis (2nd edn.) McGraw-Hill (1978).Google Scholar
Berkey, D., Newton’s method in Calculus (2nd edn.) Saunders College Publishing (1988).Google Scholar