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Suparti Suparti
Departemen Statistika, Fakultas Sains Dan Matematika, Universitas Diponegoro
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Journal : Indonesian Journal of Applied Statistics

 1 
Valuasi One Period Coupon Bond dengan Aset Mengikuti Model Geometric Brownian Motion with Jump Diffusion Meiliawati Aniska; Di Asih I Maruddani; Suparti Suparti
Indonesian Journal of Applied Statistics Vol 3, No 2 (2020)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijas.v3i2.43149

Abstract

One period coupon bond gives coupon once a bond life together with the principal debt. If the firm’s asset value on maturity date is insufficient to meet the debtholder’s claim, then the firm is stated as default. The well-known model for predicting default probability is KMV-Merton model. Under this model, it is assumed that the return on the firm’s assets is distributed normally and their behaviour can be described with the Geometric Brownian Motion (GBM) formula. In practice, most of the financial data tend to have heavy-tailed distribution. It indicates that the data contain some extreme values. GBM with Jump is a popular model to capture the extreme values. In this paper, we evaluate a corporate bond which has some extreme condition in their asset value and predicts the default probability in the maturity date. Empirical studies were carried out on bond that is issued by CIMB Niaga Bank that has a payment due in November 2020. The result shows that modelling the asset value is more appropriate by using GBM with Jump rather than GBM modelling. Estimation to CIMB Niaga Bank equity in November 2020 is IDR 246,533,573,844,229.00. The liability of this company is IDR 4,205,751,155,771.00. The prediction of CIMB Niaga Bank default probability is 1.065812 ´ 10-8 at the bond maturity. It indicates that the company is considered capable of fulfilling the obligations at the maturity date.Keywords: jump diffusion, extreme value, probability default, equity, liability
Pemodelan Regresi Semiparametrik B Spline (Studi Kasus: Pengaruh Harga Emas dan Minyak Mentah Dunia Terhadap Indeks Harga Saham Gabungan) M. Pratama Aryansah; Suparti Suparti
Indonesian Journal of Applied Statistics Vol 6, No 2 (2023)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijas.v6i2.79365

Abstract

The increases of the world gold and crude oil prices have a big role as a main factor that effect composite stock price index, the effect can make investors to buy stock from Bursa Efek Indonesia. Regression semiparametric used in this research for a purpose to get combined parametric and nonparametric with B Spline approach. B Spline is a development of spline to overcome weaknesses in making singular matrix at a high order spline with many knot points and close together. Variable parametric component is composite stock price index with crude oil price, and variable nonparametric component is composite stock price index with gold price that got obtained from January 2015 until December 2022. The result from this research is best regression semiparametric B-Spline modelling can be obtained using some combination of order and knot points. The optimal point is obtained on 2nd order using 4 knot point (1.135;1.319,15;1.320,75;1.323,25) with a minimum GCV value is 100.227,8. The best measure of goodness with a coefficient of determination value (R-Square) obtained a value 78,8%, because the value is more than 67% make it as a strong model. MAPE value is 3,37% that has a value less than 10 %, make this model have a perfect forecasting ability.Keywords: Gold; Crude Oil; Composite Stock Price Index; Semiparametric B Spline; GCV
Co-Authors A. Sulaksono, A. A.A. Ketut Agung Cahyawan W Aan Sofyan Abdul Hoyyi Adhytia, Rizkyhimawan Afandi, Adam Pri Agus Cahyono Agus Prasetya Agus Rusgiyono Agus Triyono Akbari, Windusiwi Asih Alan Prahutama Alanindra Saputra Alvita Rachma Devi Amanda Devi Paramitha Ambarwati Aminah Asngad Ananda, Refisa Angelia, Yuni Anggun Ella Indriyani Anik Rahmawati, Anik Anjarwati, Ani Any Setyaningsih, Any Arianti Suhartini Arieanti, Dian Dinarafika Arief Rachman Hakim Arief Rachman Hakim Arnisa Melani Kahar Ash Shiddiq, Fanchas Asismarta Asismarta, Asismarta Ayu Annisa Gharini AYU LESTARI Azizah, Adilla Nur Badriyah, Ratu Bahtiar Ilham Triyunanto Brillianing Pratiwi Budi Warsito Budiarti, Arivia Ayu Busnang, Yuliawati C Yuwono Sumasto, C Yuwono Deden Aditya Nanda, Deden Aditya Dewi, Anggra Lita Sandra Dewi, P A R Dhany Efita Sari Dhea Dewanti Di Asih I Maruddani Diah Safitri Dwi Ispriyanti Dwi Sambada Dwi Wahyuningsih, Dwi Dwikoranto Eka Anisha Eka Destiyani Eka Fadilah Eka Wijayanti Eko Sugiyanto Ermanuri, Ermanuri Erna Sulistianingsih Ernawati, Devi Ernik Yuliana Esti Pratiwi Evelyna, Feby Evi Oktaviana, Desy Fadilah, Eka Fitri Juniaty Simatupang, Fitri Juniaty Gina Wangsih Hamid, Lukman Hanifa Adityarahma Hanifah Nur Aini Happy Suci Puspitasari Hartono Hartono Hasbi Yasin Haya, Lovina Rizki Heni Nurhaeni I Made Sulandra Ihdayani Banun Afa Immawati Ainun Habibah Intaniasari, Yossinta Iut Tri Utami Iut Triutami Izzudin Khalid, Izzudin Janaka, Janaka Jefferio Gusti Putratama Jody Hendrian Juwanda, Farikhin Karimawati, Nurul Kartika, Aninda Ayu Karwanto, Karwanto Khaerul Anam Khansa Amalia Fitroh Khansa, I H Khoirunnisa, Siti Intan Khulaifiyah, Khulaifiyah Lamik Nabil Mu'affa Lanjari , Restu Lina Agustina Lintangesukmanjaya, R T Lismiyati Marfuah, Lismiyati Lisnayati, Lisnayati Lulu Maulatus Saidah Lulus Darwati, Lulus M. Noris M. Pratama Aryansah Maman Suryaman MASLIHATIN, LINA Meiliawati Aniska Milawati Milawati Moch. Abdul Mukid Mokhamad Nurjam'i MUHAMAD SHOLEH Muhammad Sulaiman Muhammad Taufan Muhtadi Muhtadi Muqorobin, Masculine Muhammad Mustafid Mustafid Mustaji Mustaji, Mustaji Mustofa, Achmad Nastiti, Tri Dyah Netriwati Nia Istiana Noer Rachma, Gustyas Zella Nunuk Hariyati Nurhayati, Rizky Nurina Salma Alfiyyah Nurlia, Titim Nurmanita, Tiara Sevi Nurul Fitria Fitria Rizani Ovie Auliya’atul Faizah Paula Meilina Dwi Hapsari Peter Rajagukguk Pranata, Sepbrie Mulia Bingah Prasetyo, Mario Aditya Prastowo, Srihandono Budi Prastya, Agus Puspita Kartikasari Putra, D A Putri Agustina Rahma Dewi Hartati Rahman Kosasih, Fauzy Rahman, Syair Dafiq Faizur Rahmawati Patta, Rahmawati Rahyu Setiani Rambat Rambat, Rambat Renti Oktaria, Renti Retnowati, Lina Riana Ayu Andam Pradewi Richy Priyambodo Rismawati Rismawati Rita Rahmawati RIZKYHIMAWAN, ADHYTIA Rohayati, Menik Rudi Saputro Setyo Purnomo Rukun Santoso Sa'adah, Alfi Faridatus Sadjati, Ida Malati Safitri, Wardani Ana Salma Farah Aliyah Salsa Bella, Shella Salsabila Rizkia Gusman Sania Anisa Farah Sanitoria Nadeak, Sanitoria Septian Hendra Wijaya Setiawan, Fuad Alfaridzi Setyoko Prismanu Ramadhan Setyowati, Titik Sholihah, Zaimatu Silvia Elsa Suryana Silvia Nur Rinjani Singgih Subiyantoro Sirojuddin, Muhammad Siska Andriyani Siti Fadhilla Femadiyanti Sofiana Sofiana Sola Fide Sri Budiasih, Sri Sri Sumiyati Sri Wahyuni Sri Wahyuningrum Sudargo Sudarno Sudarno Sudarno Sudarno Sugiarti, Ning Sugito - Sugito Sugito Sunardi Sunardi Supeno Supratmi, Nunung Supriyanto, Rudy Suranto Suranto Surasmi, W A Surasmi, Wuwuh Asrining Suratno Suratno Susilo, Mas Bayu Sutrisno, Supadi Bambang Syafruddin , Syafruddin Syafruddin Syafruddin Syafruddin*, Syafruddin syah, naziah Syazwina Aufa Syiva Multi Fani T. Mart, T. Tarno Tarno Tarno Tarno Tatik Widiharih Teguh Supriyanto Tiani Wahyu Utami Triastuti Rahayu Triastuti Wuryandari Tyas Estiningrum Ul Haq, Hasna Faridah Dhiya Vera Handayani Victoria Dwi Murti Wahyu Lestari WAHYU SUKARTININGSIH Wahyu Tiara Rosaamalia Widari Widari, Widari Wiradharma, Gunawan Yasir Sidiq YATIM RIYANTO Yon Haryono Yunianika, Ika Tri Yuningsih Yuningsih Yupitasari, Yupitasari Yusak, Suharno Zein, Secondta Habib Syarifah Zia, Nabila Ghaida Zubaidah, Lailia Zuhri, Thoha Syaifudin