IDEAS home Printed from https://ideas.repec.org/p/boj/bojwps/06-e-15.html
   My bibliography  Save this paper

The Use of the Black Model of Interest Rates as Options for Monitoring the JGB Market Expectations

Author

Listed:
  • Yoichi Ueno

    (Bank of Japan)

  • Naohiko Baba

    (Bank of Japan)

  • Yuji Sakurai

    (University of Tokyo)

Abstract

This paper analyzes the Japanese government bond (JGB) yield curve using the Black-Gorovoi-Linetsky (BGL) model of interest rates as options with a view to monitoring the JGB market expectations about the Bank of Japan's (BOJ) zero interest rate policy (ZIRP). Main findings are as follows. First, overall fitting performance of the BGL model is much better than that of the original Vasicek model in our sample period from the start of the quantitative monetary easing policy on March 19, 2001 through the end of the ZIRP on July 14, 2006. Second, the shadow interest rate is estimated to be negative throughout the period and rise toward zero quite recently. Third, the first hitting time until the negative shadow interest rate first hits zero shows a very good performance in predicting the ending time of the ZIRP with an error of only about one month. Fourth, the estimated probability density function of the first hitting time shows that the JGB market expectations rapidly converge to the mode value as the ending time of the ZIRP approaches.

Suggested Citation

  • Yoichi Ueno & Naohiko Baba & Yuji Sakurai, 2006. "The Use of the Black Model of Interest Rates as Options for Monitoring the JGB Market Expectations," Bank of Japan Working Paper Series 06-E-15, Bank of Japan.
    • Handle: RePEc:boj:bojwps:06-e-15
    as

    Download full text from publisher

    File URL: http://www.boj.or.jp/en/research/wps_rev/wps_2006/data/wp06e15.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    3. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    4. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    5. Nobuyuki Oda & Kazuo Ueda, 2007. "The Effects Of The Bank Of Japan'S Zero Interest Rate Commitment And Quantitative Monetary Easing On The Yield Curve: A Macro‐Finance Approach," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 303-328, September.
    6. 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.
    7. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    8. Baba, Naohiko & Nishioka, Shinichi & Oda, Nobuyuki & Shirakawa, Masaaki & Ueda, Kazuo & Ugai, Hiroshi, 2005. "Japan's Deflation, Problems in the Financial System, and Monetary Policy," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 23(1), pages 47-111, February.
    9. Takashi Nakayama & Naohiko Baba & Tatsushi Kurihara, 2004. "Price Developments of Japanese Government Bonds in 2003," Bank of Japan Review Series Market Review E-series, 2, Bank of Japan.
    10. Vasilev, Aleksandar & Maksumov, Rashid, 2010. "Critical analysis of Chapter 23 of Keynes’s Notes on Mercantilism in The General Theory of Employment, Interest and Money (1936)," EconStor Research Reports 155318, ZBW - Leibniz Information Centre for Economics.
    11. Eiko Ooka & Teppei Nagano & Naohiko Baba, 2006. "Recent Development of the OIS (Overnight Index Swap) Market in Japan," Bank of Japan Review Series 06-E-4, Bank of Japan.
    12. Hibiki Ichiue & Yoichi Ueno, 2006. "Monetary Policy and the Yield Curve at Zero Interest: The Macro-Finance Model of Interest Rates as Options," Bank of Japan Working Paper Series 06-E-16, Bank of Japan.
    Full references (including those not matched with items on IDEAS)

    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. Naohiko Baba, 2006. "Financial Market Functioning and Monetary Policy: Japan's Experience," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 24(S1), pages 39-71, December.
    2. Hidenori Futami, 2009. "Multi-factor Affine Term Structure Model with Single Regime Shift: Real Term Structure under Zero Interest Rate," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 16(4), pages 347-369, December.
    3. Ichiue, Hibiki & Ueno, Yoichi, 2015. "Monetary policy and the yield curve at zero interest," Journal of the Japanese and International Economies, Elsevier, vol. 38(C), pages 1-12.
    4. Taeyoung Doh, 2010. "The efficacy of large-scale asset purchases at the zero lower bound," Economic Review, Federal Reserve Bank of Kansas City, vol. 95(Q II), pages 5-34.
    5. Houweling, Patrick & Hoek, Jaap & Kleibergen, Frank, 2001. "The joint estimation of term structures and credit spreads," Journal of Empirical Finance, Elsevier, vol. 8(3), pages 297-323, July.
    6. Cheikh Mbaye & Frédéric Vrins, 2022. "Affine term structure models: A time‐change approach with perfect fit to market curves," Mathematical Finance, Wiley Blackwell, vol. 32(2), pages 678-724, April.
    7. Tsz-Kin Chung & Cho-Hoi Hui & Ka-Fai Li, 2015. "Term-Structure Modelling at the Zero Lower Bound: Implications for Estimating the Term Premium," Working Papers 212015, Hong Kong Institute for Monetary Research.
    8. Etienne Vaccaro-Grange, 2019. "Quantitative Easing and the Term Premium as a Monetary Policy Instrument," Working Papers halshs-02359503, HAL.
    9. Zhou, Siwen, 2018. "Measuring the Signaling Effect of the ECB’s Asset Purchase Programme at the Effective Lower Bound," MPRA Paper 87084, University Library of Munich, Germany.
    10. Robert Jarrow & Hao Li, 2014. "The impact of quantitative easing on the US term structure of interest rates," Review of Derivatives Research, Springer, vol. 17(3), pages 287-321, October.
    11. Hiroshi Ugai, 2007. "Effects of the Quantitative Easing Policy: A Survey of Empirical Analyses," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 25(1), pages 1-48, March.
    12. Lin, Bing-Huei, 1999. "Fitting the term structure of interest rates for Taiwanese government bonds," Journal of Multinational Financial Management, Elsevier, vol. 9(3-4), pages 331-352, November.
    13. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    14. Huse, Cristian, 2011. "Term structure modelling with observable state variables," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3240-3252.
    15. Olivier Le Courtois, 2022. "On the Diversification of Fixed Income Assets," Risks, MDPI, vol. 10(2), pages 1-21, February.
    16. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742, Decembrie.
    17. Peter Carr & Liuren Wu, 2023. "Decomposing Long Bond Returns: A Decentralized Theory," Review of Finance, European Finance Association, vol. 27(3), pages 997-1026.
    18. João Nunes, 2011. "American options and callable bonds under stochastic interest rates and endogenous bankruptcy," Review of Derivatives Research, Springer, vol. 14(3), pages 283-332, October.
    19. Ilias Lekkos, 2003. "Cross‐sectional Restrictions on the Spot and Forward Term Structures of Interest Rates and Panel Unit Root Tests," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(5‐6), pages 799-828, June.
    20. Chen, An-Sing & Chu, Hsiang-Hui & Hung, Pi-Hsia & Cheng, Miao-Sih, 2020. "Financial risk and acquirers' stockholder wealth in mergers and acquisitions," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

    More about this item

    Keywords

    Term Structure of Interest Rates; Zero Lower Bound; Options Approach; Shadow Interest Rate; First Hitting Time;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    Statistics

    Access and download statistics

    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:boj:bojwps:06-e-15. 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: Bank of Japan (email available below). General contact details of provider: https://edirc.repec.org/data/bojgvjp.html .

    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.