International Journal of Global Operations Research
Vol 4, No 1 (2023)

Determination of Credit Insurance Premium Due to Default Using the Black-Scholes-Merton Model

Tya Shafa Ramdhania (Mathematics Undergraduate Study Program, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jatinangor, Indonesia)
Riaman Riaman (Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jatinangor, Indonesia)
Sukono Sukono (Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jatinangor, Indonesia)



Article Info

Publish Date
09 Feb 2023

Abstract

Banks are vulnerable to the risk of bad credit or default because customers are unable to pay their debts. Risks that may occur in the future can be in the form of unexpected events and can be experienced by anyone, causing the loan to not be fully repaid. Therefore, it is necessary to have insurance to overcome risks due to default in protecting oneself from the risk of unexpected events, namely credit insurance. This study aims to calculate the premium price using the Black-Scholes-Merton model approach. The data used is arrears data of customers PD. Bank Perkreditan Rakyat (BPR) Artha Sukapura in 2003-2020. The data is compiled into a cumulative relative frequency distribution table, resulting in a number of random numbers. Based on the cumulative relative frequency distribution table, data simulation was determined using Monte Carlo. Based on the results of the analysis, the simulation data obtained by the standard deviation are relatively stable and lognormal distributed. Then pricing is done to determine the premium price from the sample data. From the results of the calculations in this study, a premium value of  was obtained for arrears of  with a loan of .

Copyrights © 2023






Journal Info

Abbrev

ijgor

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Mathematics

Description

International Journal of Global Operations Research (IJGOR) is published 4 times a year and is the flagship journal of the Indonesian Operational Research Association (IORA). It is the aim of IJGOR to present papers which cover the theory, practice, history or methodology of OR. However, since OR is ...