IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v54y2019i3d10.1007_s10614-018-9848-z.html
   My bibliography  Save this article

Modifying Hybrid Optimisation Algorithms to Construct Spot Term Structure of Interest Rates and Proposing a Standardised Assessment

Author

Listed:
  • Aryo Sasongko

    (Bank Indonesia)

  • Cynthia Afriani Utama

    (Universitas Indonesia)

  • Buddi Wibowo

    (Universitas Indonesia)

  • Zaäfri Ananto Husodo

    (Universitas Indonesia)

Abstract

Spot term structure is rarely available as its methodological procedures are complicated and therefore market participants substitute it with traditional term structure as an approximation. This paper proposes two hybrid optimisation algorithms consisting of traditional algorithms to reduce complex procedures. Estimated by any algorithm, curve model parameters are always prone to overshooting risks. We modify the algorithms to overcome the risks and use the algorithms to estimate on-the-run government bond data of Indonesian domestics, Yankees as well as the US Treasuries from 17th April 2013 to 29th October 2013. To confirm the validity of term structure measurement, we propose to standardize three Bolder and Stréliski criteria as there is no agreement for performance criteria. We modify goodness of fit and robustness indicators of the criteria to do reliable assessments. We have implemented the modified Bolder and Stréliski criteria to compare the performances of the algorithms and to distinguish liquid market data, the US Treasuries, from less liquid markets, Indonesian government bonds.

Suggested Citation

  • Aryo Sasongko & Cynthia Afriani Utama & Buddi Wibowo & Zaäfri Ananto Husodo, 2019. "Modifying Hybrid Optimisation Algorithms to Construct Spot Term Structure of Interest Rates and Proposing a Standardised Assessment," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 957-1003, October.
  • Handle: RePEc:kap:compec:v:54:y:2019:i:3:d:10.1007_s10614-018-9848-z
    DOI: 10.1007/s10614-018-9848-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-018-9848-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10614-018-9848-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rafael Barros de Rezende, 2011. "Giving Flexibility to the Nelson-Siegel Class of Term Structure Models," Brazilian Review of Finance, Brazilian Society of Finance, vol. 9(1), pages 27-49.
    2. Manousopoulos, Polychronis & Michalopoulos, Michalis, 2009. "Comparison of non-linear optimization algorithms for yield curve estimation," European Journal of Operational Research, Elsevier, vol. 192(2), pages 594-602, January.
    3. Daves, Phillip R & Ehrhardt, Michael C, 1993. "Liquidity, Reconstitution, and the Value of U.S. Treasury Strips," Journal of Finance, American Finance Association, vol. 48(1), pages 315-329, March.
    4. Craig H Furfine & Eli M Remolona, 2002. "What's behind the liquidity spread? On-the-run and off-the-run US Treasuries in autumn 1998," BIS Quarterly Review, Bank for International Settlements, June.
    5. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    6. Laurini, Márcio Poletti & Hotta, Luiz Koodi, 2010. "Bayesian extensions to Diebold-Li term structure model," International Review of Financial Analysis, Elsevier, vol. 19(5), pages 342-350, December.
    7. Gur Huberman & Dominika Halka, 2001. "Systematic Liquidity," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 24(2), pages 161-178, June.
    8. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
    9. Goutam Dutta & Sankarshan Basu & Krishnamurthy Vaidyanathan, 2005. "Term Structure Estimation in Illiquid Government Bond Markets," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 4(1), pages 63-80, April.
    10. Vicente, José & Tabak, Benjamin M., 2008. "Forecasting bond yields in the Brazilian fixed income market," International Journal of Forecasting, Elsevier, vol. 24(3), pages 490-497.
    11. Tomas Björk & Bent Jesper Christensen, 1999. "Interest Rate Dynamics and Consistent Forward Rate Curves," Mathematical Finance, Wiley Blackwell, vol. 9(4), pages 323-348, October.
    12. Gurkaynak, Refet S. & Sack, Brian & Wright, Jonathan H., 2007. "The U.S. Treasury yield curve: 1961 to the present," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2291-2304, November.
    13. Alfaro, Rodrigo A., 2011. "Affine Nelson-Siegel model," Economics Letters, Elsevier, vol. 110(1), pages 1-3, January.
    14. L. Ingber, 1993. "Simulated annealing: Practice versus theory," Lester Ingber Papers 93sa, Lester Ingber.
    15. Lars E.O. Svensson, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992 - 1994," NBER Working Papers 4871, National Bureau of Economic Research, Inc.
    16. Young Ho Eom, 2004. "Structural Models of Corporate Bond Pricing: An Empirical Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 499-544.
    17. Gauthier, Geneviève & Simonato, Jean-Guy, 2012. "Linearized Nelson–Siegel and Svensson models for the estimation of spot interest rates," European Journal of Operational Research, Elsevier, vol. 219(2), pages 442-451.
    18. Jordan, James V. & Mansi, Sattar A., 2003. "Term structure estimation from on-the-run Treasuries," Journal of Banking & Finance, Elsevier, vol. 27(8), pages 1487-1509, August.
    19. Gilbert W. King, 1953. "The Monte Carlo Method as a Natural Mode of Expression in Operations Research," Operations Research, INFORMS, vol. 1(2), pages 46-51, February.
    20. Jordan, Bradford D. & Jorgensen, Randy D. & Kuipers, David R., 2000. "The relative pricing of U.S. Treasury STRIPS: empirical evidence," Journal of Financial Economics, Elsevier, vol. 56(1), pages 89-123, April.
    21. David Durand, 1942. "Basic Yields of Corporate Bonds, 1900-1942," NBER Chapters, in: Basic Yields of Corporate Bonds, 1900-1942, pages 1-40, National Bureau of Economic Research, Inc.
    22. Caldeira, João F. & Laurini, Márcio P. & Portugal, Marcelo S., 2010. "Bayesian Inference Applied to Dynamic Nelson-Siegel Model with Stochastic Volatility," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 30(1), October.
    23. Svensson, Lars E O, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992-4," CEPR Discussion Papers 1051, C.E.P.R. Discussion Papers.
    24. Michael B. Giles, 2008. "Multilevel Monte Carlo Path Simulation," Operations Research, INFORMS, vol. 56(3), pages 607-617, June.
    25. David Durand, 1942. "Basic Yields of Corporate Bonds, 1900-1942," NBER Books, National Bureau of Economic Research, Inc, number dura42-1.
    26. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    27. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    28. Amihud, Yakov & Mendelson, Haim, 1991. "Liquidity, Maturity, and the Yields on U.S. Treasury Securities," Journal of Finance, American Finance Association, vol. 46(4), pages 1411-1425, September.
    29. Ioannides, Michalis, 2003. "A comparison of yield curve estimation techniques using UK data," Journal of Banking & Finance, Elsevier, vol. 27(1), pages 1-26, January.
    30. Huberman, Gur & Halka, Dominika, 2001. "Systematic Liquidity," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 24(2), pages 161-178, Summer.
    31. Yallup, Peter J., 2012. "Models of the yield curve and the curvature of the implied forward rate function," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 121-135.
    32. David Bolder & David Stréliski, 1999. "Yield Curve Modelling at the Bank of Canada," Technical Reports 84, Bank of Canada.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ranik Raaen Wahlstrøm & Florentina Paraschiv & Michael Schürle, 2022. "A Comparative Analysis of Parsimonious Yield Curve Models with Focus on the Nelson-Siegel, Svensson and Bliss Versions," Computational Economics, Springer;Society for Computational Economics, vol. 59(3), pages 967-1004, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vahidin Jeleskovic & Anastasios Demertzidis, 2018. "Comparing different methods for the estimation of interbank intraday yield curves," MAGKS Papers on Economics 201839, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    2. Lorenčič Eva, 2016. "Testing the Performance of Cubic Splines and Nelson-Siegel Model for Estimating the Zero-coupon Yield Curve," Naše gospodarstvo/Our economy, Sciendo, vol. 62(2), pages 42-50, June.
    3. Gauthier, Geneviève & Simonato, Jean-Guy, 2012. "Linearized Nelson–Siegel and Svensson models for the estimation of spot interest rates," European Journal of Operational Research, Elsevier, vol. 219(2), pages 442-451.
    4. Tong, Xiaojun & He, Zhuoqiong Chong & Sun, Dongchu, 2018. "Estimating Chinese Treasury yield curves with Bayesian smoothing splines," Econometrics and Statistics, Elsevier, vol. 8(C), pages 94-124.
    5. Emma Berenguer-Carceles & Ricardo Gimeno & Juan M. Nave, 2012. "Estimation of the Term Structure of Interest Rates: Methodology and Applications," Working Papers 12.06, Universidad Pablo de Olavide, Department of Financial Economics and Accounting (former Department of Business Administration).
    6. Anastasios Demertzidis & Vahidin Jeleskovic, 2021. "Empirical Estimation of Intraday Yield Curves on the Italian Interbank Credit Market e-MID," JRFM, MDPI, vol. 14(5), pages 1-23, May.
    7. Ranik Raaen Wahlstrøm & Florentina Paraschiv & Michael Schürle, 2022. "A Comparative Analysis of Parsimonious Yield Curve Models with Focus on the Nelson-Siegel, Svensson and Bliss Versions," Computational Economics, Springer;Society for Computational Economics, vol. 59(3), pages 967-1004, March.
    8. Lauren Stagnol, 2019. "Extracting global factors from local yield curves," Journal of Asset Management, Palgrave Macmillan, vol. 20(5), pages 341-350, September.
    9. Lauren Stagnol, 2017. "Introducing global term structure in a risk parity framework," Working Papers hal-04141648, HAL.
    10. Alfaro, Rodrigo & Piña, Marco, 2023. "Estimates of the US Shadow-Rate," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 4(1).
    11. Ioannidis, Christos & Ka, Kook, 2018. "The impact of oil price shocks on the term structure of interest rates," Energy Economics, Elsevier, vol. 72(C), pages 601-620.
    12. van Binsbergen, Jules H. & Diamond, William F. & Grotteria, Marco, 2022. "Risk-free interest rates," Journal of Financial Economics, Elsevier, vol. 143(1), pages 1-29.
    13. Rafael Barros de Rezende, 2011. "Giving Flexibility to the Nelson-Siegel Class of Term Structure Models," Brazilian Review of Finance, Brazilian Society of Finance, vol. 9(1), pages 27-49.
    14. Emrah Ahi & Vedat Akgiray & Emrah Sener, 2018. "Robust term structure estimation in developed and emerging markets," Annals of Operations Research, Springer, vol. 260(1), pages 23-49, January.
    15. van Landschoot, A., 2003. "The Term Structure of Credit Spreads on Euro Corporate Bonds," Other publications TiSEM f5164bb2-6597-48c4-8b44-d, Tilburg University, School of Economics and Management.
    16. Annaert, Jan & Claes, Anouk G.P. & De Ceuster, Marc J.K. & Zhang, Hairui, 2013. "Estimating the spot rate curve using the Nelson–Siegel model," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 482-496.
    17. Manousopoulos, Polychronis & Michalopoulos, Michalis, 2009. "Comparison of non-linear optimization algorithms for yield curve estimation," European Journal of Operational Research, Elsevier, vol. 192(2), pages 594-602, January.
    18. Karahan, Cenk C. & Soykök, Emre, 2023. "On illiquidity of an emerging sovereign bond market," Economic Systems, Elsevier, vol. 47(2).
    19. Gangadhar Darbha & Sudipta Dutta Roy & Vardhana Pawaskar, 2002. "Idiosyncratic Factors in Pricing Sovereign Bonds: An Analysis of the Government of India Bond Market," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 1(2), pages 157-181, September.
    20. Jorge Miguel Ventura Bravo & Carlos Manuel Pereira da Silva, 2005. "Immunization Using a Parametric Model of the Term Structure," Economics Working Papers 19_2005, University of Évora, Department of Economics (Portugal).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:54:y:2019:i:3:d:10.1007_s10614-018-9848-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.