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Black's Model of Interest Rates as Options, Eigenfunction Expansions and Japanese Interest Rates

Citations

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Cited by:

  1. Alexander Gairat & Vadim Shcherbakov, 2014. "Density of Skew Brownian motion and its functionals with application in finance," Papers 1407.1715, arXiv.org, revised Mar 2015.
  2. Gourieroux, C. & Monfort, A., 2013. "Linear-price term structure models," Journal of Empirical Finance, Elsevier, vol. 24(C), pages 24-41.
  3. Eric T. Swanson & John C. Williams, 2014. "Measuring the Effect of the Zero Lower Bound on Medium- and Longer-Term Interest Rates," American Economic Review, American Economic Association, vol. 104(10), pages 3154-3185, October.
  4. Jens H. E. Christensen & Glenn D. Rudebusch, 2016. "Modeling Yields at the Zero Lower Bound: Are Shadow Rates the Solution?," Advances in Econometrics, in: Dynamic Factor Models, volume 35, pages 75-125, Emerald Group Publishing Limited.
  5. Dotsis, George, 2020. "Investment under uncertainty with a zero lower bound on interest rates," Economics Letters, Elsevier, vol. 188(C).
  6. Hyungbin Park, 2015. "Sensitivity Analysis of Long-Term Cash Flows," Papers 1511.03744, arXiv.org, revised Sep 2018.
  7. Fornero, Jorge & Kirchner, Markus & Molina, Carlos, 2024. "Estimating shadow policy rates in a small open economy and the role of foreign factors," Journal of International Money and Finance, Elsevier, vol. 140(C).
  8. Kagraoka, Yusho & Moussa, Zakaria, 2013. "Quantitative easing, credibility and the time-varying dynamics of the term structure of interest rate in Japan," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 25(C), pages 181-201.
  9. 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.
  10. Likuan Qin & Vadim Linetsky, 2014. "Positive Eigenfunctions of Markovian Pricing Operators: Hansen-Scheinkman Factorization, Ross Recovery and Long-Term Pricing," Papers 1411.3075, arXiv.org, revised Sep 2015.
  11. Lijun Bo & Yongjin Wang & Xuewei Yang, 2010. "Some integral functionals of reflected SDEs and their applications in finance," Quantitative Finance, Taylor & Francis Journals, vol. 11(3), pages 343-348.
  12. Lingfei Li & Vadim Linetsky, 2015. "Discretely monitored first passage problems and barrier options: an eigenfunction expansion approach," Finance and Stochastics, Springer, vol. 19(4), pages 941-977, October.
  13. Jens H. E. Christensen & Glenn D. Rudebusch, 2015. "Estimating Shadow-Rate Term Structure Models with Near-Zero Yields," Journal of Financial Econometrics, Oxford University Press, vol. 13(2), pages 226-259.
  14. Marcello Pericoli & Marco Taboga, 2015. "Understanding policy rates at the zero lower bound: insights from a Bayesian shadow rate model," Temi di discussione (Economic working papers) 1023, Bank of Italy, Economic Research and International Relations Area.
  15. Andrey Itkin & Dmitry Muravey, 2021. "Semi-analytical pricing of barrier options in the time-dependent $\lambda$-SABR model," Papers 2109.02134, arXiv.org.
  16. Zura Kakushadze, 2015. "Coping with Negative Short-Rates," Papers 1502.06074, arXiv.org, revised Aug 2015.
  17. Martin M. Andreasen & Andrew Meldrum, 2014. "Dynamic term structure models: The best way to enforce the zero lower bound," CREATES Research Papers 2014-47, Department of Economics and Business Economics, Aarhus University.
  18. Enlin Pan & Liuren Wu, 2006. "Taking Positive Interest Rates Seriously," World Scientific Book Chapters, in: Cheng-Few Lee (ed.), Advances In Quantitative Analysis Of Finance And Accounting, chapter 14, pages 327-356, World Scientific Publishing Co. Pte. Ltd..
  19. Matthew Lorig, 2011. "Pricing Derivatives on Multiscale Diffusions: an Eigenfunction Expansion Approach," Papers 1109.0738, arXiv.org, revised Apr 2012.
  20. Hyungbin Park, 2014. "Pricing and Hedging Long-Term Options," Papers 1410.8160, arXiv.org, revised Mar 2016.
  21. Lemke, Wolfgang & Vladu, Andreea L., 2016. "Below the zero lower bound: A shadow-rate term structure model for the euro area," Discussion Papers 32/2016, Deutsche Bundesbank.
  22. Lemke, Wolfgang & Vladu, Andreea, 2015. "A Shadow-Rate Term Structure Model for the Euro Area," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113159, Verein für Socialpolitik / German Economic Association.
  23. Hyungbin Park, 2015. "The Martin Integral Representation of Markovian Pricing Kernels," Papers 1504.00276, arXiv.org.
  24. S. Dang-Nguyen & Y. Rakotondratsimba, 2016. "Control of price acceptability under the univariate Vasicek model," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1-40, September.
  25. Forde, Martin & Kumar, Rohini & Zhang, Hongzhong, 2015. "Large deviations for the boundary local time of doubly reflected Brownian motion," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 262-268.
  26. Ning Cai & Xuewei Yang, 2021. "A Computational Approach to First Passage Problems of Reflected Hyperexponential Jump Diffusion Processes," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 216-229, January.
  27. Jihun Han & Hyungbin Park, 2014. "The Intrinsic Bounds on the Risk Premium of Markovian Pricing Kernels," Papers 1411.4606, arXiv.org, revised Sep 2015.
  28. Marco J. Lombardi & Feng Zhu, 2018. "A Shadow Policy Rate to Calibrate U.S. Monetary Policy at the Zero Lower Bound," International Journal of Central Banking, International Journal of Central Banking, vol. 14(5), pages 305-346, December.
  29. Likuan Qin & Vadim Linetsky, 2016. "Positive Eigenfunctions of Markovian Pricing Operators: Hansen-Scheinkman Factorization, Ross Recovery, and Long-Term Pricing," Operations Research, INFORMS, vol. 64(1), pages 99-117, February.
  30. Shane Miller, 2007. "Pricing of Contingent Claims Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 25, July-Dece.
  31. Hyungbin Park, 2014. "Ross Recovery with Recurrent and Transient Processes," Papers 1410.2282, arXiv.org, revised Oct 2015.
  32. Antoine Jacquier & Aleksandar Mijatović, 2014. "Large Deviations for the Extended Heston Model: The Large-Time Case," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 21(3), pages 263-280, September.
  33. Kentaro Kikuchi, 2024. "A term structure interest rate model with the Brownian bridge lower bound," Annals of Finance, Springer, vol. 20(3), pages 301-328, September.
  34. Likuan Qin & Vadim Linetsky & Yutian Nie, 2016. "Long Forward Probabilities, Recovery and the Term Structure of Bond Risk Premiums," Papers 1601.06477, arXiv.org.
  35. Monfort, Alain & Pegoraro, Fulvio & Renne, Jean-Paul & Roussellet, Guillaume, 2017. "Staying at zero with affine processes: An application to term structure modelling," Journal of Econometrics, Elsevier, vol. 201(2), pages 348-366.
  36. Guangli Xu & Shiyu Song & Yongjin Wang, 2016. "The Valuation Of Options On Foreign Exchange Rate In A Target Zone," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-19, May.
  37. Don H. Kim, 2008. "Zero bound, option-implied PDFs, and term structure models," Finance and Economics Discussion Series 2008-31, Board of Governors of the Federal Reserve System (U.S.).
  38. Han, Jihun & Park, Hyungbin, 2015. "The intrinsic bounds on the risk premium of Markovian pricing kernels," Finance Research Letters, Elsevier, vol. 13(C), pages 36-44.
  39. Svetlana Boyarchenko & Sergei Levendorskiu{i}, 2019. "Gauge transformations in the dual space, and pricing and estimation in the long run in affine jump-diffusion models," Papers 1912.06948, arXiv.org, revised Dec 2019.
  40. Vadim Linetsky, 2004. "Spectral Expansions for Asian (Average Price) Options," Operations Research, INFORMS, vol. 52(6), pages 856-867, December.
  41. Neville Francis & Laura E. Jackson & Michael T. Owyang, 2014. "How Has Empirical Monetary Policy Analysis Changed After the Financial Crisis?," Working Papers 2014-19, Federal Reserve Bank of St. Louis.
  42. Lim, Dongjae & Li, Lingfei & Linetsky, Vadim, 2012. "Evaluating callable and putable bonds: An eigenfunction expansion approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(12), pages 1888-1908.
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