Similarity Analysis of the Default Transition of Bond Issuer in Indonesia using Euclidean Distance

Aulia Ikhsan, Fikri C Permana, Ayu Nurulhaq Putri, Rifki Hamdani, Mukhtar Mukhtar, Syarif Abdullah, Rifqy Hafizh, Muhammad Hikam Adiguna, Dinda Dwi Anugrah Pertiwi, Kinanthi Trah Asmaraningtyas

Abstract


The debt instrument (bond) as one of the investment instruments in the Capital Market has a main risk known as default. Default risk can be mitigated if investors assess the credit quality of the bond and its issuer, as measured by rating. In this research, the initial rating of issuers was investment grade (BBB or higher) and valid for at least 1 year, with their business operations based in Indonesia. The observation period was from 2007 to 2023. A Markov Chain was used to create a transition matrix to analyze transitions and default. The probability of AAA staying over 1 year is 0.9858 whereas the likelihood of AA, A, and BBB staying in the same rating is 0.9203, 0.8825, and 0.8630, respectively. The BBB in a 5-year transition has the highest probability of default by 0.0370. The Euclidean distance was used to measure the similarity of default durations. The 1-year and 3-year transition have the shortest distance, at  0.00939. The conclusion of this research is a higher rating has a higher probability of staying at the same rating and carries lower risk. Furthermore, 1-year and 3-year transitions show similarities based on their probability of default.

Keywords


Default; Investment Grade; Markov Chain; Euclidean Distance

Full Text:

PDF

References


F.J. Fabozzi, and F.A. Fabozzi, Bond Market, Analysis, and Strategies. Massachusetts: The MIT Press, 2021.

Syamsudin, and M. Khaddafi, “Analisis Komparatif Risiko dan return Pada Saham dan Obligasi di Bursa Efek Indonesia: Implikasi bagi Investor”, Jurnal Ekonomi, Bisnis, dan Manajemen, vol. 3, no. 2, pp. 61-76, Jun. 24, doi: https://doi.org/10.58192/ebismen.v2i3.2209

T. Lei, “Research on Bond Market in Risk Management”, Highlights in Business, Economics, and Management, vol. 41, pp. 414-419, Oct. 24, doi: 10.54097/cdqpfr79.

A. Nugraha, “Analisis Pengaruh Perubahan Bond Rating terhadap Abnormal Return untuk Saham yang Terdaftar di Bursa Efek Indonesia”, Universitas Indonesia, 2010.

OJK, “Peraturan Otoritas Jasa Keuangan Republik Indonesia Nomor 49/POJK.04/2020 Tentang Pemeringkatan Efek Bersifat Utang Dan/Atau Sukuk”, Lembaran Negara Republik Indonesia, no. 273, 2020.

PEFINDO, “Rating Definition”, 2025. https://www.pefindo.com/services.

M. A. Aslam, “Does the Percentage of Investment Grades Given by Rating Agencies Impact their Market Share?”, Financial Markets, Institutions, and Risks, vol. 4, no.1, pp. 5-31, Apr. 20, doi: http://doi.org/10.21272/fmir.4(1).5-31.2020.

M. D. Hadad, W. Santoso, B. Santoso, D. Besar, and I. Rulina, “Rating Migration Matrices: Empirical Evidence in Indonesia”, IFC Buletin, no. 31, Apr. 20.

PEFINDO, “The Default Study of Corporate and Corporate Debt Securities Rated by PEFINDO”, 2023. https://www.pefindo.com/default-study.

S. Rahardjo, Panduan Investasi Obligasi. Jakarta: PT Gramedia Pustaka Utama, 2004.

H. Anton, and C. Rorres, Elementary Linear Algebra. USA: Wiley, 2014.

F. N. Masuku, Y. A. R. Langi, and C. Mongi, “Analisisi Rantai Markov untuk Memprediksi Perpindahan Konsumen Maskapai Penerbangan Rute Manado-Jakarta”, Jurnal Ilmiah Sains, vol. 18, no. 2, pp. 75-79, Oct. 18.

S. M. Ross, Introduction to Probability Models. Burlington: Elsevier, 2007.

J. H. E. Christensen, E. Hansen, and D. Lando, “Confidence Sets for Continous-Time Rating Transition Probabilities”, Journal of Banking & Finance, vol. 28, no. 11, pp. 2575-2602, Aug 04, doi: 10.1016/j.jbankfin.2004.06.003.

G. M. Venturini, “Statistical Distance and Probability Metrics for Multivariate Data, Ensembles and Probability Distribution”, Department of Statistics Universidad Carlos III De Madrid, 2015.

C. P. Kitsos, and C-S. Nisiotis, “Considering Distance Measures in Statistics”, Biometrical Letters, vol. 59, no.1, pp. 65-75, Jun. 22, doi: 10.2478/bile-2022-0006.




DOI: http://dx.doi.org/10.62870/tjs.v1i1.31335

Refbacks

  • There are currently no refbacks.


Copyright (c) 2025 Aulia Ikhsan

This work is licensed under Creative Commons Attribution 4.0 International

BRI303

BRI303

BRI303

BRI303

BRI303

BRI303

BRI303

BRI303

BRI303