Optimizing Financing Sharia Bank Through the Formation of Optimal Portfolio with Single Index Model

Abstract

This study was conducted to determine the optimal portfolio combination and its proportion for Sharia bank financing which is divided into several contracts (murabahah, mudharabah, musyarakah, ijarah, dan qardh). This research is quantitative because it involves a number of mathematical calculation techniques to determine the optimal portfolio composition with Single Index Model (SIM) as its method of analysis. The SIM enables precise calculation of the composition of each asset (financing) by identifying the value of Excess Return to Beta (ERB) as well as the cut-off point based on the acquisition of equivalent rate of profit sharing for each financing. The result of data processing shows that the biggest financing composition is istishna financing (46.7%), murabahah financing (23.1%), musyarakah financing (19.98%), mudharabah (6.4%), Qardh (2.37%) and ijarah (1.5%). The portfolio return was 357.42 percent with portfolio risk of 3.91 percent. This proves that the establishment of an optimal portfolio can not only increase the profitability of Sharia banks but also reduce the existing level of risk, so that Sharia bank profits can also increase along with the assets of the Sharia bank itself.


 


 


Keywords: optimal portfolio, single index model (SIM)

References
[1] Barata, Amrin. (2013). Penentuan Komposisi Optimal Kontrak Instrumen Pembiayaan Perbankan Syariah di Indonesia melalui Pembentukan Efficient Portfolio Frontier tahun 2004-2012 (Pendekatan risk-return dan Pemodelan GARCH). [Skripsi]. Jakarta : Sekolah Tinggi Ilmu Statistik.


[2] Bilbiee, Florin. (2000). Applications of ARCH Modelling in Financial Time Series: the Case of Germany. Research Techniques Project Department of Economics University of Warwick.


[3] Cardinali, Alessandro. (2007). An Out-of-sample Analysis of Mean-Variance Portfolios with Orthogonal GARCH Factors. International Econometric Review (IER) Volume 4, Issue 1.


[4] Edi,dkk. (2009). Quasi-Maximum Likelihood untuk Regresi Panel Spasial [Paper]. Surabaya: Institut Teknologi Sepuluh November (ITS).


[5] Engle, Robert. (2001). The Use of ARCH/GARCH Models in Applied Econometrics. Jurnal of Economic Perspectives.


[6] Huda, Nurul, dan Nasution, Mustafa. (2009). Current Issues Lembaga Keuangan Syariah. Jakarta: Kencana Prenada Media Group.


[7] Ismal, Rifki. (2010). The Indonesian Islamic Banking (Theory and Practices). Bogor: Phd Gramata Publishing.


[8] Joko, Kandung. (2007). Pengaruh Volatilitas Nilai Tukar Dan Nilai Neto Ekspor Terhadap Volatilitas Cadangan Devisa Indonesia Periode 1980-2006 [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik (STIS).


[9] Markowitx H.M. (1991). Foundations of Portfolio Theory. Journal of Finance. Muhamad. (2001). Teknik Perhitungan Bagi Hasil di Bank Syariah. Yogyakarta: UII Press.


[10] Nachrowi, dan Usman, Hardius. (2006). Ekonometrika untuk Analisis Ekonomi dan Keuangan. Jakarta: Lembaga Penerbit Fakultas Ekonomi Universitas Indonesia.


[11] Obaidullah, Mohammed. (2005). Islamic Financial Services. Islamic Economic Research Center, University Jeddah, Saudi Arabia.


[12] Pesona, Puspa. (2009). Analisis Pembiayaan Mudharabah, Musyarakah, dan Murabahah Hubungannya dengan Profitabilitas Bank Umum Syariah Periode 2003-2007 [Skripsi]. Malang: FE UIN Malang.


[13] Rahmawati, Naili. Mekanisme Pembiayaan Murabahah [Paper]. Mataram: Fakultas Syariah IAIN Mataram.


[14] Ribeiro, Otavio, dan Shigueru, Alberto. (2005). Brazilian Market Reaction to Equity Issue Announcements. Journal.


[15] Lewis, Mervyn dan Al-Qaoud, Latifa. (2001). Perbankan Syari’ah: Prinsip, Praktik, Prospek. Jakarta: Serambi.


[16] Lee, Sang dan Hansen, Bruce. (1994). Asymptotic Theory For The Garch (1,1) QuasiMaximum Likelihoode Stimator. Econometric Theory, 10, 1994, 29-52. Printed in the United States of America.


[17] Posedel, Petra. (2005). Properties and Estimation of GARCH(1,1) Model. Metodoloˇski zvezki, Vol. 2, No. 2, 2005, 243-257.


[18] Savickas, Robert. (2003). Event-Induced Volatility And Test For Abnormal Performance. The Journal of Financial Research* Vol. XXVI, No. 2.Syafi’i, Muhammad. (2001). Bank Syari’ah dari Teori ke Praktik. Jakarta: Gema Insani.


[19] Triawan, Leo. (2008). Risiko Portofolio Dan Potensi Kerugian Pembiayaan Pada Bprs Amanah Ummah Dengan Metode Creditrisk+ [Skripsi]. Bogor: Manajemen Fakultas Ekonomi dan Manajemen Institut Pertanian Bogor.


[20] Widarjono, Agus. (2009). Ekonometrika Pengantar dan Aplikasinya. Yogyakarta: Ekonisia.


[21] Yahya, Arya. (2011). Pengaruh Perilaku Kurs (Rp/US$) Terhadap Ekspor Nonmigas Dan Produk Domestik Bruto Nonmigas Indonesia Periode 1993-2010 [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik.


[22] Yulianti, Rahmani. (2009). Manajemen Resiko Perbankan Syariah. Jurnal Ekonomi Islam Vol. III, No. 2.


[23] Brigham, Eugene. F and Joel F. Houston. Manajemen Keuangan Ed. 8. Jakarta: Erlangga. 2001.


[24] Charles P, Jones. Investment: Analysis and Management, Edisi kesepuluh. New York: John Willey and Sons.Inc. 2000.


[25] Fauzi, Ahmad. Analisis Pengaruh Indikator Fundamental dan Makro Ekonomi Terhadap Beta Saham. Skripsi Fakultas Ekonomi dan Bisnis, Universitas Islam Negeri Syarif Hidayatullah Jakarta. 2009.


[26] Fidiana. Nilia-nilai Fundamental dan Pengaruhnya Terhadap Beta Saham Syariah Pada Jakarta Islamic Indeks. Jurnal Ekuitas Vol.13 No.1 Maret 2009.


[27] Halim, Abdul. Analisis Investasi. Jakarta: Salemba Empat. 2005. Hamid, Abdul. Pasar Modal Syariah. Jakarta: Lembaga Penelitian UIN Jakarta. 2009.


[28] Harahap, Sofyan Syafri. Analisis Kritis atas Laporan Keuangan. Jakarta: PT. Rajawali Pers. 2010.


[29] Herutono, Slamet. Analsis Pengaruh Fundamental Perusahaan Terhadap Risiko Sistematis Saham Pada Perusahaan-perusahaan Properti. Tesis Fakultas Ekonomi dan Bisnis, Universitas Gadjah Mada. 2009.


[30] Heykal, Mohamad. Tuntunan dan Aplikasi Investasi Syariah. Jakarta: PT. Alex Media Komputindo. 2012.


[31] Huda, Nurul dan Nasution, Mustafa Edwina. Investasi Pada Pasar Modal Syariah. Jakarta: Kencana. 2007.


[32] Husan, Suad. Dasar-dasar Teori Portofolio dan Analisis Sekuritas. Yogyakarta: UPP AMP YKPN. 1993.


[33] Moeljadi. Manajemen Keuangan Pendekatan Kuantitatif dan Kualitatif. Malang: Bayu Media Publishing. 2006.


[34] Munawir S. Analisis Laporan Keuangan. Yogyakarta: Liberty Yogyakarta. 2004. Noor, Henry Faisal. Investasi pengelolaan Keuangan Bisnis dan Penggembangan Ekonomi Masyarakat. Jakarta: PT. Indeks. 2009.


[35] Rachmawati, Sisca. Analisis Pengaruh Faktor Fundamental Terhadap Risiko Sistematis (Beta) Pada Saham LQ45 yang Terdaftar di Bursa Efek Indonesia (BEI) Periode 2006- 2008. Skripsi Fakultas Ekonomi Universitas Diponegoro. 2010.


[36] Rodoni, Ahmad. Investasi Syariah. Jakarta: Lembaga Penelitian UIN Jakarta. 2009.


[37] Sugiono, Arief. Manajemen Keuangan untuk Praktisi Keuangan. Jakarta: Grasindo. 2009.


[38] Sundrajaja, Ridwan S. Manajemen Keuangan. Bandung: Literata Lintas Media. 2010.


[39] Syamsuddin, Lukman. Manajemen Keuangan Perusahaan. Jakarta: PT. Raja Grafindo Persada. 2007.


[40] Umar, Husein. Metode Riset Bisnis. Jakarta: PT. Gramedia Pustaka Utama. 2003 Umar, Husein. Metode Untuk Penelitian Skripsi dan Tesis Bisnis. Jakarta: Rajawali Press. 2011


[41] Widarjono, Agus. Analisis Statistika Multivariat Terapan. Yogyakarta: STIM YKPN. 2010.


[42] www.bi.go.id