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Continuous-time term structure models: Forward measure approach (*)

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Cited by:

  1. Heidari, Massoud & Wu, Liuren, 2009. "A Joint Framework for Consistently Pricing Interest Rates and Interest Rate Derivatives," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(3), pages 517-550, June.
  2. Jacques Van Appel & Thomas A. Mcwalter, 2018. "Efficient Long-Dated Swaption Volatility Approximation In The Forward-Libor Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 1-26, June.
  3. Pierre-Edouard Arrouy & Sophian Mehalla & Bernard Lapeyre & Alexandre Boumezoued, 2020. "Jacobi Stochastic Volatility factor for the Libor Market Model," Working Papers hal-02468583, HAL.
  4. Wang, Shin-Yun & Lin, Shih-Kuei, 2010. "The pricing and hedging of structured notes with systematic jump risk: An analysis of the USD knock-out reversed swap," International Review of Economics & Finance, Elsevier, vol. 19(1), pages 106-118, January.
  5. Beniamin Goldys, 1997. "A note on pricing interest rate derivatives when forward LIBOR rates are lognormal," Finance and Stochastics, Springer, vol. 1(4), pages 345-352.
  6. Nicolas Merener & Paul Glasserman, 2003. "Numerical solution of jump-diffusion LIBOR market models," Finance and Stochastics, Springer, vol. 7(1), pages 1-27.
  7. Fabio Mercurio, 2005. "Pricing inflation-indexed derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 289-302.
  8. Da Fonseca, José & Gnoatto, Alessandro & Grasselli, Martino, 2013. "A flexible matrix Libor model with smiles," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 774-793.
  9. Michael J. Tomas & Jun Yu, 2021. "An Asymptotic Solution for Call Options on Zero-Coupon Bonds," Mathematics, MDPI, vol. 9(16), pages 1-23, August.
  10. Marek Rutkowski, 1999. "Models of forward Libor and swap rates," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(1), pages 29-60.
  11. Tim Dun & Geoff Barton & Erik Schlögl, 2001. "Simulated Swaption Delta–Hedging In The Lognormal Forward Libor Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 677-709.
  12. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330.
  13. Ting‐Pin Wu & Son‐Nan Chen, 2008. "Valuation of floating range notes in a LIBOR market model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(7), pages 697-710, July.
  14. Victor Goodman & Kyounghee Kim, 2006. "One-Factor Term Structure without Forward Rates," Papers math/0612035, arXiv.org, revised Dec 2006.
  15. Mohamed N. Abdelghani & Alexander V. Melnikov, 2017. "Optional Defaultable Markets," Risks, MDPI, vol. 5(4), pages 1-21, October.
  16. Dai, Qiang & Singleton, Kenneth J., 2003. "Fixed-income pricing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 20, pages 1207-1246, Elsevier.
  17. Tsung-Yu Hsieh & Chi-Hsun Chou & Son-Nan Chen, 2015. "Quanto Interest-Rate Exchange Options in a Cross-Currency Libor Market Model," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 5(5), pages 816-830, May.
  18. Simon H. Babbs, 2002. "Conditional Gaussian models of the term structure of interest rates," Finance and Stochastics, Springer, vol. 6(3), pages 333-353.
  19. Dana Cíchová Králová, 2015. "Využití modelu BGM při řízení úrokového rizika v českém prostředí v období po finanční krizi [Aplication of the BGM Model for Interest Rate Risk Management in the Czech Environment after Financial ," Politická ekonomie, Prague University of Economics and Business, vol. 2015(6), pages 714-740.
  20. Colino, Jesús P. & Stute, Winfried, 2008. "Credit risk with semimartingales and risk-neutrality," DES - Working Papers. Statistics and Econometrics. WS ws085417, Universidad Carlos III de Madrid. Departamento de Estadística.
  21. 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.
  22. David Criens & Kathrin Glau & Zorana Grbac, 2015. "Martingale property of exponential semimartingales: a note on explicit conditions and applications to financial models," Papers 1506.08127, arXiv.org, revised Aug 2016.
  23. Marek Rutkowski & Matthew Bickersteth, 2021. "Pricing and Hedging of SOFR Derivatives under Differential Funding Costs and Collateralization," Papers 2112.14033, arXiv.org.
  24. Atsushi Kawai, 2003. "A new approximate swaption formula in the LIBOR market model: an asymptotic expansion approach," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 49-74.
  25. Glasserman, P. & Zhao, X., 1998. "Arbitrage-Free Discretization of Lognormal Forward Libor and Swap Rate Models," Papers 98-09, Columbia - Graduate School of Business.
  26. Beveridge, Christopher & Joshi, Mark & Tang, Robert, 2013. "Practical policy iteration: Generic methods for obtaining rapid and tight bounds for Bermudan exotic derivatives using Monte Carlo simulation," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1342-1361.
  27. Linlin Xu & Giray Ökten, 2015. "High-performance financial simulation using randomized quasi-Monte Carlo methods," Quantitative Finance, Taylor & Francis Journals, vol. 15(8), pages 1425-1436, August.
  28. Likuan Qin & Vadim Linetsky, 2014. "Long Term Risk: A Martingale Approach," Papers 1411.3078, arXiv.org, revised Oct 2016.
  29. Jaka Gogala & Joanne E. Kennedy, 2017. "CLASSIFICATION OF TWO- AND THREE-FACTOR TIME-HOMOGENEOUS SEPARABLE LMMs," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-44, March.
  30. Igor Grubisic & Raoul Pietersz, 2005. "Efficient Rank Reduction of Correlation Matrices," Finance 0502007, University Library of Munich, Germany.
  31. Erik Schlögl, 2002. "Extracting the Joint Volatility Structure of Foreign Exchange and Interest Rates from Option Prices," Research Paper Series 79, Quantitative Finance Research Centre, University of Technology, Sydney.
  32. Karol Gellert & Erik Schlogl, 2021. "Short Rate Dynamics: A Fed Funds and SOFR perspective," Papers 2101.04308, arXiv.org.
  33. Rajinda Wickrama, 2021. "Pricing Exchange Rate Options and Quanto Caps in the Cross-Currency Random Field LIBOR Market Model," Papers 2103.00323, arXiv.org, revised Mar 2021.
  34. Massoud Heidari & Liuren Wu, 2002. "Term Structure of Interest Rates, Yield Curve Residuals, and the Consistent Pricing of Interest Rates and Interest Rate Derivatives," Finance 0207010, University Library of Munich, Germany, revised 10 Sep 2002.
  35. Zühlsdorff, Christian, 2002. "Extended Libor Market Models with Affine and Quadratic Volatility," Bonn Econ Discussion Papers 6/2002, University of Bonn, Bonn Graduate School of Economics (BGSE).
  36. Beissner, Patrick & Rosazza Gianin, Emanuela, 2018. "The Term Structure of Sharpe Ratios and Arbitrage-Free Asset Pricing in Continuous Time," Rationality and Competition Discussion Paper Series 72, CRC TRR 190 Rationality and Competition.
  37. Takashi Yasuoka, 2001. "Mathematical Pseudo-Completion Of The Bgm Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 375-401.
  38. 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).
  39. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Jacobi stochastic volatility factor for the LIBOR market model," Finance and Stochastics, Springer, vol. 26(4), pages 771-823, October.
  40. Mark H. A. Davis & Vicente Mataix-Pastor, 2009. "Arbitrage-Free Interpolation Of The Swap Curve," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 969-1005.
  41. Raoul Pietersz & Antoon Pelsser & Marcel van Regenmortel, 2005. "Fast drift approximated pricing in the BGM model," Finance 0502005, University Library of Munich, Germany.
  42. Barsotti, Flavia & Milhaud, Xavier & Salhi, Yahia, 2016. "Lapse risk in life insurance: Correlation and contagion effects among policyholders’ behaviors," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 317-331.
  43. Raoul Pietersz & Marcel Regenmortel, 2006. "Generic market models," Finance and Stochastics, Springer, vol. 10(4), pages 507-528, December.
    • Raoul Pietersz & Marcel van Regenmortel, 2005. "Generic Market Models," Finance 0502009, University Library of Munich, Germany.
    • Pietersz, R. & van Regenmortel, M., 2005. "Generic Market Models," ERIM Report Series Research in Management ERS-2005-010-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  44. Jui‐Jane Chang & Son‐Nan Chen & Ting‐Pin Wu, 2013. "Currency‐Protected Swaps and Swaptions with Nonzero Spreads in a Multicurrency LMM," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(9), pages 827-867, September.
  45. Antonis Papapantoleon & Robert Wardenga, 2016. "Continuous tenor extension of affine LIBOR models with multiple curves and applications to XVA," Papers 1607.03522, arXiv.org, revised Feb 2017.
  46. Erik Schlögl, 2001. "Arbitrage-Free Interpolation in Models of Market Observable Interest Rates," Research Paper Series 71, Quantitative Finance Research Centre, University of Technology, Sydney.
  47. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
  48. Grace Kuan, 2000. "Recovering Local Volatility Functions Of Forward Libor Rates," Computing in Economics and Finance 2000 255, Society for Computational Economics.
  49. Erik Schlögl, 2002. "A multicurrency extension of the lognormal interest rate Market Models," Finance and Stochastics, Springer, vol. 6(2), pages 173-196.
  50. Kathrin Glau & Zorana Grbac & Antonis Papapantoleon, 2016. "A unified view of LIBOR models," Papers 1601.01352, arXiv.org, revised Jul 2016.
  51. S. Galluccio & J.‐M. Ly & Z. Huang & O. Scaillet, 2007. "Theory And Calibration Of Swap Market Models," Mathematical Finance, Wiley Blackwell, vol. 17(1), pages 111-141, January.
  52. Marek Musiela, 2022. "My journey through finance and stochastics," Finance and Stochastics, Springer, vol. 26(1), pages 33-58, January.
  53. Lie-Jane Kao & Po-Cheng Wu & Tai-Yuan Chen, 2012. "Why Do Banks Default When Asset Quality Is High?," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 6(1), pages 83-96.
  54. Giuseppe Arbia & Michele Di Marcantonio, 2015. "Forecasting Interest Rates Using Geostatistical Techniques," Econometrics, MDPI, vol. 3(4), pages 1-28, November.
  55. Antje Dudenhausen & Erik Schlögl & Lutz Schlögl, 1999. "Robustness of Gaussian Hedges and the Hedging of Fixed Income Derivatives," Research Paper Series 19, Quantitative Finance Research Centre, University of Technology, Sydney.
  56. Sascha Desmettre & Simon Hochgerner & Sanela Omerovic & Stefan Thonhauser, 2021. "A mean-field extension of the LIBOR market model," Papers 2109.10779, arXiv.org.
  57. David Criens & Kathrin Glau & Zorana Grbac, 2017. "Martingale property of exponential semimartingales: a note on explicit conditions and applications to asset price and Libor models," Post-Print hal-03898993, HAL.
  58. Lotz, Christopher & Schlogl, Lutz, 2000. "Default risk in a market model," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 301-327, January.
  59. Mark Joshi & Alan Stacey, 2008. "New and robust drift approximations for the LIBOR market model," Quantitative Finance, Taylor & Francis Journals, vol. 8(4), pages 427-434.
  60. K. F. Pilz & E. Schlögl, 2013. "A hybrid commodity and interest rate market model," Quantitative Finance, Taylor & Francis Journals, vol. 13(4), pages 543-560, March.
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