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The Potential Approach to the Term Structure of Interest Rates and Foreign Exchange Rates

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Cited by:

  1. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 271-295, June.
  2. Bo, Lijun, 2011. "Exponential change of measure applied to term structures of interest rates and exchange rates," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 216-225, September.
  3. Henrik Dam & Andrea Macrina & David Skovmand & David Sloth, 2018. "Rational Models for Inflation-Linked Derivatives," Papers 1801.08804, arXiv.org, revised Jul 2020.
  4. Jirô Akahori & Andrea Macrina, 2022. "Heat Kernel Interest Rate Models With Time-Inhomogeneous Markov Processes," World Scientific Book Chapters, in: Dorje Brody & Lane Hughston & Andrea Macrina (ed.), Financial Informatics An Information-Based Approach to Asset Pricing, chapter 9, pages 179-193, World Scientific Publishing Co. Pte. Ltd..
  5. Christa Cuchiero & Claudio Fontana & Alessandro Gnoatto, 2019. "Affine multiple yield curve models," Mathematical Finance, Wiley Blackwell, vol. 29(2), pages 568-611, April.
  6. T. Kluge & L. C. G. Rogers, 2018. "The Potential Approach In Practice," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 1-30, May.
  7. Jirô Akahori & Takahiro Tsuchiya, 2006. "What is the Natural Scale for a Lévy Process in Modelling Term Structure of Interest Rates?," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 13(4), pages 299-313, December.
  8. David Bolder & Shudan Liu, 2007. "Examining Simple Joint Macroeconomic and Term-Structure Models: A Practitioner's Perspective," Staff Working Papers 07-49, Bank of Canada.
  9. Platen, Eckhard, 2001. "A benchmark model for financial markets," SFB 373 Discussion Papers 2001,52, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  10. Gourieroux, Christian & Sufana, Razvan, 2011. "Discrete time Wishart term structure models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 815-824, June.
  11. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
  12. 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.
  13. Jirô Akahori & Keisuke Hara, 2006. "Lifting Quadratic Term Structure Models To Infinite Dimension," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 635-645, October.
  14. Andrea Macrina & Priyanka A. Parbhoo, 2011. "Randomised Mixture Models for Pricing Kernels," Papers 1112.2059, arXiv.org.
  15. Fabio Mercurio, 2005. "Pricing inflation-indexed derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 289-302.
  16. Andrea Macrina, 2012. "Heat Kernel Framework for Asset Pricing in Finite Time," Papers 1211.0856, arXiv.org, revised Sep 2013.
  17. Andrea Macrina & Priyanka A. Parbhoo, 2010. "Security Pricing with Information-Sensitive Discounting," Papers 1001.3570, arXiv.org, revised Jun 2010.
  18. Stephane Crepey & Andrea Macrina & Tuyet Mai Nguyen & David Skovmand, 2015. "Rational Multi-Curve Models with Counterparty-Risk Valuation Adjustments," Papers 1502.07397, arXiv.org.
  19. Dorje C. Brody & Stala Hadjipetri, 2014. "Coherent Chaos Interest Rate Models," Papers 1403.3362, arXiv.org.
  20. Andrea Macrina & Priyanka A. Parbhoo, 2010. "Securities Pricing with Information-Sensitive Discounting," KIER Working Papers 695, Kyoto University, Institute of Economic Research.
  21. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
  22. Peter Feldhütter & Christian Heyerdahl-Larsen & Philipp Illeditsch, 2018. "Risk Premia and Volatilities in a Nonlinear Term Structure Model [Quadratic term structure models: theory and evidence]," Review of Finance, European Finance Association, vol. 22(1), pages 337-380.
  23. 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.
  24. Satoshi Yamashita & Toshinao Yoshiba, 2013. "A collateralized loan's loss under a quadratic Gaussian default intensity process," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1935-1946, December.
  25. Chiarolla, Maria B. & Haussmann, Ulrich G., 2001. "Equilibrium in a stochastic model with consumption, wages and investment," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 311-346, April.
  26. Jiro Akahori & Yuji Hishida & Josef Teichmann & Takahiro Tsuchiya, 2009. "A Heat Kernel Approach to Interest Rate Models," Papers 0910.5033, arXiv.org.
  27. Hans Buhlmann & Eckhard Platen, 2002. "A Discrete Time Benchmark Approach for Finance and Insurance," Research Paper Series 74, Quantitative Finance Research Centre, University of Technology, Sydney.
  28. Hainaut, Donatien, 2020. "Credit risk modelling with fractional self-excited processes," LIDAM Discussion Papers ISBA 2020002, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  29. Tunaru, Diana, 2017. "Gaussian estimation and forecasting of the U.K. yield curve with multi-factor continuous-time models," International Review of Financial Analysis, Elsevier, vol. 52(C), pages 119-129.
  30. Satoshi Yamashita & Toshinao Yoshiba, 2011. "Analytical Solution for the Loss Distribution of a Collateralized Loan under a Quadratic Gaussian Default Intensity Process," IMES Discussion Paper Series 11-E-20, Institute for Monetary and Economic Studies, Bank of Japan.
  31. Eckhard Platen, 2004. "Diversified Portfolios with Jumps in a Benchmark Framework," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 11(1), pages 1-22, March.
  32. Da Fonseca, José, 2024. "Pricing guaranteed annuity options in a linear-rational Wishart mortality model," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 122-131.
  33. Bakshi, Gurdip & Carr, Peter & Wu, Liuren, 2008. "Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies," Journal of Financial Economics, Elsevier, vol. 87(1), pages 132-156, January.
  34. Andrea Macrina & Obeid Mahomed, 2018. "Consistent Valuation Across Curves Using Pricing Kernels," Papers 1801.04994, arXiv.org, revised Feb 2018.
  35. Andrea Macrina & Obeid Mahomed, 2018. "Consistent Valuation Across Curves Using Pricing Kernels," Risks, MDPI, vol. 6(1), pages 1-39, March.
  36. Mark Fisher & Christian Gilles, 1998. "Consumption and asset prices and recursive preferences," Finance and Economics Discussion Series 1998-40, Board of Governors of the Federal Reserve System (U.S.).
  37. Lars Peter Hansen, 2008. "Modeling the Long Run: Valuation in Dynamic Stochastic Economies," NBER Working Papers 14243, National Bureau of Economic Research, Inc.
  38. Jairo A. Rendon, 2019. "Global And Regional Risks In Currency Returns," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(08), pages 1-25, December.
  39. Platen, Eckhard, 2000. "Risk premia and financial modelling without measure transformation," SFB 373 Discussion Papers 2000,92, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  40. Markus Leippold & Liuren Wu, 1999. "The Potential Approach to Bond and Currency Pricing," Finance 9903004, University Library of Munich, Germany.
  41. The Anh Nguyen & Frank Thomas Seifried, 2015. "The Multi-Curve Potential Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1-32, November.
  42. 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.
  43. Andrea Macrina & Priyanka Parbhoo, 2014. "Randomised Mixture Models for Pricing Kernels," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 21(4), pages 281-315, November.
  44. Vincenzo Costa, 2004. "Risk neutral valuation and uncovered interest rate parity in a stochastic two-country-economy with two goods," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-10.
  45. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin, 2006. "Pricing Death: Frameworks for the Valuation and Securitization of Mortality Risk," ASTIN Bulletin, Cambridge University Press, vol. 36(1), pages 79-120, May.
  46. Matheus R Grasselli & Tsunehiro Tsujimoto, 2011. "Calibration of Chaotic Models for Interest Rates," Papers 1106.2478, arXiv.org.
  47. Gabriele Sarais & Damiano Brigo, 2014. "Inflation securities valuation with macroeconomic-based no-arbitrage dynamics," Papers 1403.7799, arXiv.org, revised Jul 2014.
  48. Jorge Miguel Ventura Bravo, 2011. "Pricing Longevity Bonds Using Affine-Jump Diffusion Models," CEFAGE-UE Working Papers 2011_29, University of Evora, CEFAGE-UE (Portugal).
  49. Kentaro Kikuchi, 2015. "Quadratic Gaussian Joint Pricing Model for Stocks and Bonds: Theory and Empirical Analysis," Discussion Papers CRR Discussion Paper Series B: Financial 14, Shiga University, Faculty of Economics,Center for Risk Research.
  50. 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.
  51. Yao, Yong, 1999. "Term structure modeling and asymptotic long rate," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 327-336, December.
  52. Thomas Krabichler & Josef Teichmann, 2020. "The Jarrow & Turnbull setting revisited," Papers 2004.12392, arXiv.org.
  53. Hainaut, Donatien, 2019. "Credit risk modelling with fractional self-excited processes," LIDAM Discussion Papers ISBA 2019027, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  54. Ngoc-Khanh Tran, 2019. "The Functional Stochastic Discount Factor," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 1-49, December.
  55. Tino Kluge & L. C. G. Rogers, 2012. "The potential approach in practice," Papers 1204.5718, arXiv.org.
  56. 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.
  57. Keiichi Tanaka, 2003. "Heterogeneous Yield Curves and Basis Swaps," Discussion Papers in Economics and Business 03-12, Osaka University, Graduate School of Economics.
  58. François, Pascal & Morellec, Erwan, 2008. "Closed-form solutions to stochastic process switching problems," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1072-1083, December.
  59. Matheus R. Grasselli & Alexander Lipton, 2018. "On the Normality of Negative Interest Rates," Papers 1808.07909, arXiv.org.
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