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Zero-Coupon and Forward Yield Curves for Government of Ghana Bonds

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  • Victor Curtis Lartey
  • Yao Li

Abstract

This article seeks to provide a framework for modeling daily zero-coupon yield curve for Government of Ghana bonds based on secondary market daily trades. It also proposes method for modeling the forward yield curve. The current practice in Ghana is to produce yield curve for Government of Ghana bonds based on primary market weekly auctions. This article demonstrates the extraction and fitting of secondary market daily yield curves for Government of Ghana bonds, using bootstrapping and piecewise cubic hermite interpolation. The article also compares the piecewise cubic hermite method with the piecewise cubic spline method, the Nelson–Siegel–Svensson model, and the penalized smoothing spline method. Data used are the daily bond price data from the Ghana Fixed Income Market, accessible at the Central Securities Depository of Ghana. The results show yield curves that reflect the actual daily yield movements in the secondary bond market of Ghana. The results also show that the piecewise cubic hermite method fits the zero-coupon yield curve better than the other methods as far as the Ghanaian bond market is concerned. For the forward curves, we recommend that either or both of the piecewise cubic hermite method and the Nelson–Siegel–Svensson method could be used by the market participants.

Suggested Citation

  • Victor Curtis Lartey & Yao Li, 2018. "Zero-Coupon and Forward Yield Curves for Government of Ghana Bonds," SAGE Open, , vol. 8(3), pages 21582440188, September.
    • Handle: RePEc:sae:sagope:v:8:y:2018:i:3:p:2158244018800786
    DOI: 10.1177/2158244018800786
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    References listed on IDEAS

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    1. Bank for International Settlements, 2005. "Zero-coupon yield curves: technical documentation," BIS Papers, Bank for International Settlements, number 25.
    2. Olatundun Janet Adelegan & Bozena Radzewicz-Bak, 2009. "What Determines Bond Market Development in Sub-Saharan Africa?," IMF Working Papers 2009/213, International Monetary Fund.
    3. David Bolder & Scott Gusba, 2002. "Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada," Staff Working Papers 02-29, Bank of Canada.
    4. Svensson, Lars E O, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992-4," CEPR Discussion Papers 1051, C.E.P.R. Discussion Papers.
    5. Jarrow, Robert & Ruppert, David & Yu, Yan, 2004. "Estimating the Interest Rate Term Structure of Corporate Debt With a Semiparametric Penalized Spline Model," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 57-66, January.
    6. Svensson, L.E.O., 1994. "Estimating and Interpreting Foreward Interest Rates: Sweden 1992-1994," Papers 579, Stockholm - International Economic Studies.
    7. 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.
    8. David Jamieson Bolder, 2015. "Fixed-Income Portfolio Analytics," Springer Books, Springer, edition 127, number 978-3-319-12667-8, November.
    9. Diebold, Francis X. & Rudebusch, Glenn D. & Borag[caron]an Aruoba, S., 2006. "The macroeconomy and the yield curve: a dynamic latent factor approach," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 309-338.
    10. Mr. Yibin Mu & Mr. Peter Phelps & Ms. Janet Gale Stotsky, 2013. "Bond Markets in Africa," IMF Working Papers 2013/012, International Monetary Fund.
    11. Patrick Hagan & Graeme West, 2006. "Interpolation Methods for Curve Construction," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(2), pages 89-129.
    12. Mark Fisher & Douglas Nychka & David Zervos, 1995. "Fitting the term structure of interest rates with smoothing splines," Finance and Economics Discussion Series 95-1, Board of Governors of the Federal Reserve System (U.S.).
    13. David Bolder & David Stréliski, 1999. "Yield Curve Modelling at the Bank of Canada," Technical Reports 84, Bank of Canada.
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    Cited by:

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