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Long Forward and Zero-Coupon Rates Can Never Fall

Citations

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Cited by:

  1. Nicole El Karoui & Caroline Hillairet & Mohamed Mrad, 2022. "Ramsey rule with forward/backward utility for long-term yield curves modeling," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 375-414, June.
  2. J. Huston McCulloch, 2000. "Long Forward and Zero-Coupon Rates Indeed Can Never Fall, but Are Indeterminate: A Comment on Dybvig, Ingersoll and Ross," Working Papers 00-12, Ohio State University, Department of Economics.
  3. Santa-Clara, Pedro & Sornette, Didier, 2001. "The Dynamics of the Forward Interest Rate Curve with Stochastic String Shocks," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 149-185.
  4. Damir Filipovic & Martin Larsson & Anders B. Trolle, 2018. "On the Relation Between Linearity-Generating Processes and Linear-Rational Models," Papers 1806.03153, arXiv.org.
  5. Phoebe Koundouri & Theologos Pantelidis & Ben Groom & Ekaterini Panopoulou, 2007. "Discounting the distant future: How much does model selection affect the certainty equivalent rate?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 641-656.
  6. Fujii, Tomoki & Karp, Larry S., 2006. "Numerical Analysis of Non-Constant Discounting with an Application to Renewable Resource Management," CUDARE Working Papers 7199, University of California, Berkeley, Department of Agricultural and Resource Economics.
  7. Kimmel, Robert L., 2004. "Modeling the term structure of interest rates: A new approach," Journal of Financial Economics, Elsevier, vol. 72(1), pages 143-183, April.
  8. Michael D. Bauer & Glenn D. Rudebusch, 2020. "Interest Rates under Falling Stars," American Economic Review, American Economic Association, vol. 110(5), pages 1316-1354, May.
  9. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2020. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Post-Print hal-00974815, HAL.
  10. Yvan Lengwiler, 2005. "Heterogeneous Patience and the Term Structure of Real Interest Rates," American Economic Review, American Economic Association, vol. 95(3), pages 890-896, June.
  11. Andrew Atkeson & Patrick J. Kehoe, 2009. "On the Need for a New Approach to Analyzing Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 2008, Volume 23, pages 389-425, National Bureau of Economic Research, Inc.
  12. Nicole El Karoui & Caroline Hillairet & Mohamed Mrad & El Karoui & Hillairet Caroline & Mrad Mohamed, 2014. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Working Papers hal-00974815, HAL.
  13. repec:zbw:bofrdp:2000_022 is not listed on IDEAS
  14. J. Doyne Farmer & John Geanakoplos & Matteo G. Richiardi & Miquel Montero & Josep Perelló & Jaume Masoliver, 2024. "Discounting the Distant Future: What Do Historical Bond Prices Imply about the Long-Term Discount Rate?," Mathematics, MDPI, vol. 12(5), pages 1-25, February.
  15. Mark Fisher, 2001. "Forces that shape the yield curve: Parts 1 and 2," FRB Atlanta Working Paper 2001-3, Federal Reserve Bank of Atlanta.
  16. Peter Carr & Liuren Wu, 2023. "Decomposing Long Bond Returns: A Decentralized Theory," Review of Finance, European Finance Association, vol. 27(3), pages 997-1026.
  17. Hansen, Lars Peter, 2013. "Risk Pricing over Alternative Investment Horizons," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1571-1611, Elsevier.
  18. Aytek Malkhozov & Philippe Mueller & Andrea Vedolin & Gyuri Venter, 2013. "Mortgage Hedging in Fixed Income Markets," FMG Discussion Papers dp722, Financial Markets Group.
  19. Backwell, Alex & Hayes, Joshua, 2022. "Expected and Unexpected Jumps in the Overnight Rate: Consistent Management of the Libor Transition," Journal of Banking & Finance, Elsevier, vol. 145(C).
  20. Sebastián A. Rey, 2016. "Theory of long-term interest rates," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1-18, September.
  21. Martin, Ian W. R. & Ross, Stephen A., 2019. "Notes on the yield curve," Journal of Financial Economics, Elsevier, vol. 134(3), pages 689-702.
  22. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2014. "Ramsey Rule with Progressive utility and Long Term Affine Yields Curves," Post-Print hal-00974831, HAL.
  23. J. Huston McCulloch & Levin A. Kochen, 1998. "The Inflation Premium Implicit in the US Real and Nominal Term Structures of Interest Rates," Working Papers 98-12, Ohio State University, Department of Economics.
  24. Wilhelm, Jochen & Nietert, Bernhard, 2004. "Non-Negativity of Nominal and Real Riskless Rates, Arbitrage Theory, and the Null-Alternative Cash," Passauer Diskussionspapiere, Betriebswirtschaftliche Reihe 11, University of Passau, Faculty of Business and Economics.
  25. Koundouri, Phoebe & Groom, Ben, 2009. "Sustainability and the Economics of the Environment: Cost-Benefit Analysis and the Dynamics of the Long-Run Discount Rate," MPRA Paper 38278, University Library of Munich, Germany.
  26. Fujii, Tomoki & Karp, Larry, 2008. "Numerical analysis of non-constant pure rate of time preference: A model of climate policy," Journal of Environmental Economics and Management, Elsevier, vol. 56(1), pages 83-101, July.
  27. Seppälä, Juha, 2000. "The term structure of real interest rates : Theory and evidence form UK index-linked bonds," Research Discussion Papers 22/2000, Bank of Finland.
  28. Nicole El Karoui & Caroline Hillairet & Mohamed Mrad, 2014. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Papers 1404.1895, arXiv.org.
  29. Francesca Biagini & Alessandro Gnoatto & Maximilian Hartel, 2015. "The Long-Term Swap Rate and a General Analysis of Long-Term Interest Rates," Papers 1507.00208, arXiv.org, revised Jun 2019.
  30. Frank Riedel, 2004. "Heterogeneous time preferences and interest rates—the preferred habitat theory revisited," The European Journal of Finance, Taylor & Francis Journals, vol. 10(1), pages 3-22.
  31. Robert S. Pindyck, 2006. "Uncertainty In Environmental Economics," NBER Working Papers 12752, National Bureau of Economic Research, Inc.
  32. Dorje C. Brody & Lane P. Hughston & David M. Meier, 2016. "L\'evy-Vasicek Models and the Long-Bond Return Process," Papers 1608.06376, arXiv.org, revised Sep 2016.
  33. Li, Lingfei & Linetsky, Vadim, 2014. "Optimal stopping in infinite horizon: An eigenfunction expansion approach," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 122-128.
  34. Gollier, Christian, 2002. "Discounting an uncertain future," Journal of Public Economics, Elsevier, vol. 85(2), pages 149-166, August.
  35. Antonio Mele, 2003. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 679-716, July.
  36. Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November.
  37. J. Doyne Farmer & John Geanakoplos & Jaume Masoliver & Miquel Montero & Josep Perello, 2014. "Discounting the Distant Future," Cowles Foundation Discussion Papers 1951, Cowles Foundation for Research in Economics, Yale University.
  38. Yao, Yong, 1999. "Term structure modeling and asymptotic long rate," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 327-336, December.
  39. Fergusson, Kevin, 2020. "Less-Expensive Valuation And Reserving Of Long-Dated Variable Annuities When Interest Rates And Mortality Rates Are Stochastic," ASTIN Bulletin, Cambridge University Press, vol. 50(2), pages 381-417, May.
  40. Markus Leippold & Liuren Wu, 2003. "Design and Estimation of Quadratic Term Structure Models," Review of Finance, European Finance Association, vol. 7(1), pages 47-73.
  41. Seppala, Juha, 2004. "The term structure of real interest rates: theory and evidence from UK index-linked bonds," Journal of Monetary Economics, Elsevier, vol. 51(7), pages 1509-1549, October.
  42. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2014. "Ramsey Rule with Progressive utility and Long Term Affine Yields Curves," Papers 1404.1913, arXiv.org.
  43. Likuan Qin & Vadim Linetsky, 2014. "Long Term Risk: A Martingale Approach," Papers 1411.3078, arXiv.org, revised Oct 2016.
  44. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 645-700.
  45. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2014. "Ramsey Rule with Progressive utility and Long Term Affine Yields Curves," Working Papers hal-00974831, HAL.
  46. Likuan Qin & Vadim Linetsky, 2016. "The Long Bond, Long Forward Measure and Long-Term Factorization in Heath-Jarrow-Morton Models," Papers 1610.00818, arXiv.org, revised Jul 2017.
  47. Nicole El Karoui & Stéphane Loisel & Jean-Luc Prigent & Julien Vedani, 2017. "Market inconsistencies of the market-consistent European life insurance economic valuations: pitfalls and practical solutions," Post-Print hal-01242023, HAL.
  48. Weidong Tian, 2021. "Long Run Law and Entropy," Papers 2111.06238, arXiv.org.
  49. Dare, Wale, 2017. "Statistical arbitrage in the U.S. treasury futures market," Economics Working Paper Series 1716, University of St. Gallen, School of Economics and Political Science.
  50. Hansen, Lars Peter, 2013. "Risk Pricing over Alternative Investment Horizons," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1571-1611, Elsevier.
  51. Schulze, Klaas, 2008. "Asymptotic Maturity Behavior of the Term Structure," Bonn Econ Discussion Papers 11/2008, University of Bonn, Bonn Graduate School of Economics (BGSE).
  52. repec:uts:finphd:40 is not listed on IDEAS
  53. Dean T. Jamison & Julian Jamison, 2010. "Characterizing the amount and speed of discounting procedures," Working Papers 10-14, Federal Reserve Bank of Boston.
  54. Jan de Kort, 2018. "A note on the long rate in factor models of the term structure," Mathematical Finance, Wiley Blackwell, vol. 28(2), pages 656-667, April.
  55. Francesca Biagini & Alessandro Gnoatto & Maximilian Härtel, 2020. "General Analysis Of Long-Term Interest Rates," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-29, January.
  56. Christiansen, Charlotte, 2001. "Long Maturity Forward Rates," Finance Working Papers 01-12, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  57. Rama Cont, 1999. "Modeling interest rate dynamics: an infinite-dimensional approach," Papers cond-mat/9902018, arXiv.org.
  58. Constantinos Kardaras & Eckhard Platen, 2009. "On the Dybvig-Ingersoll-Ross Theorem," Papers 0901.2080, arXiv.org, revised Mar 2010.
  59. Jamison Dean T. & Jamison Julian, 2011. "Characterizing the Amount and Speed of Discounting Procedures," Journal of Benefit-Cost Analysis, De Gruyter, vol. 2(2), pages 1-56, April.
  60. Kruschwitz, Lutz, 2009. "Zum Problem der Anschlussverzinsung," Discussion Papers 2009/15, Free University Berlin, School of Business & Economics.
  61. Rodolfo Apreda, 2010. "Devising a non-standard convertible zero-coupon bond to enhance corporate governance," CEMA Working Papers: Serie Documentos de Trabajo. 421, Universidad del CEMA.
  62. Seppälä, Juha, 2000. "The term structure of real interest rates: Theory and evidence form UK index-linked bonds," Bank of Finland Research Discussion Papers 22/2000, Bank of Finland.
  63. Rogers, L. C. G. & Stummer, Wolfgang, 2000. "Consistent fitting of one-factor models to interest rate data," Insurance: Mathematics and Economics, Elsevier, vol. 27(1), pages 45-63, August.
  64. Bekker, Paul A., 2017. "Interpretable Parsimonious Arbitrage-free Modeling of the Yield Curve," Research Report 17009-EEF, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
  65. Ben Groom & Phoebe Koundouri & Ekaterini Panopoulou & Theologos Pantelidis, 2004. "Model Selection For Estimating Certainty Equivalent Discount Rates," DEOS Working Papers 0407, Athens University of Economics and Business.
  66. J. Huston McCulloch, 2001. "The Inflation Premium implicit in the US Real and Nominal," Computing in Economics and Finance 2001 210, Society for Computational Economics.
  67. Likuan Qin & Vadim Linetsky, 2018. "Long-term factorization in Heath–Jarrow–Morton models," Finance and Stochastics, Springer, vol. 22(3), pages 621-641, July.
  68. Clive G. Bowsher & Roland Meeks, 2008. "Stationarity and the term structure of interest rates: a characterisation of stationary and unit root yield curves," Working Papers 0811, Federal Reserve Bank of Dallas.
  69. Francesca Biagini & Maximilian Härtel, 2014. "Behavior Of Long-Term Yields In A Lévy Term Structure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-24.
  70. Jouini, Elyès & Marin, Jean-Michel & Napp, Clotilde, 2010. "Discounting and divergence of opinion," Journal of Economic Theory, Elsevier, vol. 145(2), pages 830-859, March.
  71. Dorje C. Brody & Lane P. Hughston, 2018. "Social Discounting And The Long Rate Of Interest," Mathematical Finance, Wiley Blackwell, vol. 28(1), pages 306-334, January.
  72. Dorje C. Brody & Lane P. Hughston & David M. Meier, 2018. "Lévy–Vasicek Models And The Long-Bond Return Process," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 1-26, May.
  73. Antonio Mele, 2003. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 679-716, July.
  74. Nicole El Karoui & Stéphane Loisel & Jean-Luc Prigent & Julien Vedani, 2015. "Market inconsistencies of the market-consistent European life insurance economic valuations: pitfalls and practical solutions," Working Papers hal-01242023, HAL.
  75. Francesca Biagini & Alessandro Gnoatto & Maximilian Hartel, 2013. "Affine HJM Framework on $S_{d}^{+}$ and Long-Term Yield," Papers 1311.0688, arXiv.org, revised Aug 2015.
  76. Lutz Kruschwitz, 2018. "Das Problem der Anschlussverzinsung," Schmalenbach Journal of Business Research, Springer, vol. 70(1), pages 9-45, March.
  77. Balázs Romhányi, 2005. "A learning hypothesis of the term structure of interest rates," Macroeconomics 0503001, University Library of Munich, Germany.
  78. Kevin John Fergusson, 2018. "Less-Expensive Pricing and Hedging of Extreme-Maturity Interest Rate Derivatives and Equity Index Options Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2018, January-A.
  79. Valerii Maltsev & Michael Pokojovy, 2021. "Applying Heath-Jarrow-Morton Model to Forecasting the US Treasury Daily Yield Curve Rates," Mathematics, MDPI, vol. 9(2), pages 1-25, January.
  80. Dorje C. Brody & Lane P. Hughston, 2013. "Social Discounting and the Long Rate of Interest," Papers 1306.5145, arXiv.org, revised Sep 2015.
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