A detailed analysis of fulfilling and delinquency of payments on loan

Voloshyn, Ihor (2014): A detailed analysis of fulfilling and delinquency of payments on loan.

Abstract

A new model for predicting the future expected cash flows from a loan is developed. It is based on a detailed analysis of the events of fulfilling, delinquency and default of each individual payment on the loan. The proposed model has significantly less uncertainty compared with the Markov chain model with the same detailing. The model is expected to have greater predictive power in comparison to the traditional models, and its usage will allow reducing the interest rate on the loan. The results of estimation of the probabilities of payments over time and the future expected cash flows from the loan with monthly equal principal repayment are given.

• Item Type: MPRA Paper
• Language: English
• Keywords: loan, payment, delinquency, default, cash flow, present value, interest rate, credit spread, credit risk, liquidity risk, Markov chain, soft collection
• Subjects: G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates; G - Financial Economics > G2 - Financial Institutions and Services > G21 - Banks ; Depository Institutions ; Micro Finance Institutions ; Mortgages

References

Bohn, J. R., Stein, R. M. 2009. "Active Credit Portfolio Management in Practice." – Hoboken, New Jersey: Wiley & Sons Inc. – 610 p.

Jorion, P. 2003. "Financial Risk Manager Handbook." – Second Edition. Hoboken, New Jersey: Wiley & Sons, Inc. – 708 p.

Resti, A., Sironi, A. 2007. "Risk Management and Shareholders’ Value in Banking." From Risk Measurement Models to Capital Allocation Policies. – Chichester : Wiley & Sons, Ltd. – 782 p.

Grimshaw, S.D., Alexander, W.P. "Markov Chain Models for Delinquency: Transition Matrix Estimation and Forecasting." –http://grimshawweb.byu.edu/ddmm.pdf.

Bidyuk, P.I., Torovets, T.A. 2010. "Evaluation of Time Structure States of Bank’s Borrowers by Markov Chains." Proceedings. Computer Technologies. – Issue 121. – Vol. 134. – p. 26-35.–file:///E:/Downloads/Npchduct_2010_134_121_5.pdf.

Barkman, A. 1977. "Estimation in Accounting and Auditing Using Markov Chains." The Journal of Accountancy. – No. 144, p. 75 – 79.

Voloshyn, I.V. 2008. "Influence of Credit Risk on Bank’s Liquidity and Interest Income." – Proceedings of Jacob Fleming Group Conference “Risk Management in Financial Sector in Russia & CIS: Challenges in Credit Risk and Liquidity Management”, 13-14th November 2008, Moscow.