Estimasi Parameter Model Suku Bunga Vasicek menggunakan Metode Jackknife pada Bank Indonesia

Michi Khairunnisa -
Arnellis Arnellis -

Abstract


Stochastic interest is exemplified by the Vasicek Interest Rate Model. Interest rates change from time to time. This study is a type of applied research in which the Jackknife Method to gauge the characteristics of the parameters of the Vasicek Interest Rate Model. The Jackknife method of parameter estimation involves resampling, which is done by taking out one observation from the data and repeating the process as often as necessary. The Jackknife technique is used to get estimates from observation with a small sample size. The goal of this study is to understand the Jackknife Method’s estimate findings for the Vasicek Model parameters. The Vasicek Model parameter estimate process involves numerous steps, including establishing the recursive solution, changing the equation into a regression form, then transformation to the matrix and estimation to the parameter using the Jackknife technique. By following the step, it is possible to determine that the Vasicek interest rate model parameters is   0.20424,  0.38909 ,  as well as   0.28083.


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References


Gujarati, Damodar N. 2004. Basic E conometrics.Fourth Edition. Singapore: McGraw-Hill Inc.

Hasan, Iqbal. 2002. Pokok – Pokok Materi Statistik I (Statistik Deskriptif). Jakarta: Bumi Aksara.

Erlangga, Chandra Nugroho, dan Kusumawati, Rosita. 2016. Aplikasi Model Suku Bunga Stokastik Black-Derman- Toy dengan Forward Induction dalam perhitungan Anuitas. Jurnal Pendidikan Matematika dan Sains: 1-6.

Boediono.2014. Pengantar Ilmu Ekonomi Makro. Yogyakarta:BPFE.

Vasicek, O. 1977.An Equilibrium Characterization of Term Structure.Journal of Economics.

Manullang, Sudianto. 2012. Application Of Vasicek’s Rate Interest Model In Term Insurance Premiums Calculation. Jurnal generasi Kampus.5 (2).120-129.

Zeytun S.,dan Gupta, A.2007. A Comparative Study of the Vasicek and the CIR model of the short Rate. Germany. Fraunhofer Institut Techno-und Wirtschaftsmathematik.

Carmona, Rene A. dan Tehranchi, Michael R.. 2005. Interest Rate Models: an infinite Dimensional Stochastik Analysis Perspective. Germany: Cambridge University & Princeton University.

Sprent, P. 1989. Applied Nonparametrik Statistical Methods. New York: Chapman and Hall.

Ekananda, Mahyus. 2005. Ekonometrika Dasar. Jakarta: Mitra Wacana Media

Yitnosumarto, Suntoyo. 1990. Dasar – dasar Statistika. Jakarta: CV. Rajawali

Wibisono, Yusuf. 2005. Metode Statistik. Yogyakarta: Gajah Mada University press

Sleeper, Andrew. 2006. Design for Six Sigma Statistics. United States: The McGraw-Hill Companies, Inc.

Noeryanti, dan Herindani, Rika. 2016. Estimasi Parameter Regresi Ganda menggunakan Bootstrap dan Jackknife. Prosiding Seminar Nasional Aplikasi Sains dan Teknologi (SNATS).

Gujarati, Damodar N. 2004. Basic Econometrics.Fourth Edition. Singapore: McGraw-Hill Inc.




DOI: http://dx.doi.org/10.24036/unpjomath.v9i2.14215