Bezier Curve in Modeling Bonds Yield Curve
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Abstract
Before buying bonds, investors must ensure that the bonds chosen by investors have good prospects and can provide profits as expected, so investors must analyze the yield curve. The results of yield curve analysis will help investors to model the yield curve and help make decisions about investing in certain bond products. Bond yield curves can be modeled using Bezier curves. The Bezir curve was chosen because the Bezier curve has a control value which functions to direct the points on the curve to move from the starting point to the ending point. The more control values, the more complex the bezier curve formed will be and the bezier curve can be adjusted to real data. This study compares high order Bezier curves (6th order) with low order Bezier curves (5th order). The results of the research show that the Bezier order 6 curve has a smaller error compared to the Bezier order 5 curve. More control values on the order 6 Bezier curve make the curve move more complexly and adapt to real bond yield data.
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References
Nelson CR, Siegel AF. Parsimonious Modeling of Yield Curves. J Bus. 1987;60(4):473.
Svensson LEO. Estimating and In-terpreting Forward Interest Rates: Sweden 1992-1994. IMF Work Pap. 1994;94(114):1.
McCulloch JH. Measuring The Term Structure of Interest Rates. J Bus. 1971;44(1):19–31.
Baki I. Yield Curve Estimation By Spline-Based Models. 2006.
Permatasari D, Iriawan N. Pemodelan Kurva Imbal Hasil Obligasi KorporasiRating AA dan A dengan Nelson Siegel Svensson dan Cubic Spline Smooth-ing. Bul Ekon Monet dan Perbank. 2009;11(4):293–322.
Mortenson E. Mathematics for Computer Graphics Applications. New York, United States: Industrial Press, Inc; 1999.
Saifudin I. Teknik Praktis Sketsa / Desain Meja Dan Kursi Rotan Minimalis Meng-gunakan Interpolasi Linear Bezier, Inter-polasi Kurva, dan Kurva Parametrik. J Gammath. 2017;2(1):47–54.
Maharani N. Aplikasi Kurva Bezier Berderajat Lima Hasil dari Modifikasi Kurva Kuartik pada Design Keramik. Universitas Islam Negeri Maulana Malik Ibrahim; 2016.
Abdel-Aziz HS, Zanaty EA, Ali HA, Saad MK. Generating Bézier curves for med-ical image reconstruction. Results Phys. 2021;23:103996.
Song B, Wang Z, Zou L. An improved PSO algorithm for smooth path planning of mobile robots using continuous high-degree Bezier curve. Appl Soft Comput. 2021;100:106960. Ghafarian B, Hanafizadeh P, Qahi AHM. Applying Greek letters to robust option price modeling by binomial-tree. Phys A Stat Mech its Appl. 2018;503:632–9. Chen L, Qin D, Xu X, Cai Y, Xie J. A path and velocity planning method for lane changing collision avoidance of intelli-
gent vehicle based on cubic 3-D Bezier curve. Adv Eng Softw. 2019;132(Novem-ber 2018):65-73.
Sederberg TW. Bezier Curves. Computer Aided Geometric Design Course Notes. 2012.
Haryono A. Studi Pembentukan Huruf Font Dengan Kurva Bezier. Teknika. 2014;3(1):69-78.
Triadi MBF, Juliyanto B, Ubaidillah F. Aplikasi Kurva Bezier pada Desain Botol Minuman. Maj Ilm Mat dan Stat. 2020;20(1):1-8.