Volatility Level Dependence and Linear-Rational Term Structure Models

References

• Ahn, D. H., R. F. Dittmar, and A. R. Gallant. 2002. Quadratic term structure models: Theory and evidence. Review of Financial Studies 15 (1):243–88. doi:10.1093/rfs/15.1.243.
   Web of Science ®Google Scholar
• Akahori, J., and A. Macrina. 2012. Heat kernel interest rate models with time-inhomogeneous markov processes. International Journal of Theoretical and Applied Finance 15 (1):1250007. doi:10.1142/S0219024911006553.
   Google Scholar
• Andersen, L. B., and V. V. Piterbarg. 2007. Moment explosions in stochastic volatility models. Finance and Stochastics 11 (1):29–50. doi:10.1007/s00780-006-0011-7.
   Web of Science ®Google Scholar
• Backwell, A. 2021. Unspanned stochastic volatility from an empirical and practical perspec- tive. Journal of Banking & Finance 122:105993. doi:10.1016/j.jbankfin.2020.105993.
   Web of Science ®Google Scholar
• Bliss, R. R., and D. C. Smith. 1998. The elasticity of interest rate volatility: Chan, Karolyi, Longstaff, and Sanders revisited. Federal Reserve Bank of Atlanta Working Paper.
   Google Scholar
• Brace, A., D. Gatarek, and M. Musiela. 1997. The market model of interest rate dynamics. Mathematical Finance 7 (2):127–55. doi:10.1111/1467-9965.00028.
   Web of Science ®Google Scholar
• Brigo, D., and F. Mercurio. 2007. Interest rate models – Theory and practice: With smile, inflation and credit. Berlin: Springer.
   Google Scholar
• Chan, K. C., G. A. Karolyi, F. A. Longstaff, and A. B. Sanders. 1992. An empirical comparison of alternative models of the short-term interest rate. Journal of Finance 47 (3):1209–27. doi:10.1111/j.1540-6261.1992.tb04011.x.
   Web of Science ®Google Scholar
• Christoffersen, P., C. Dorion, K. Jacobs, and L. Karoui. 2014. Nonlinear Kalman filtering in affine term structure models. Management Science 60 (9):2248–68. doi:10.1287/mnsc.2013.1870.
   Web of Science ®Google Scholar
• Collin-Dufresne, P., and R. S. Goldstein. 2002. Do bonds span the fixed income markets? Theory and evidence for unspanned stochastic volatility. Journal of Finance 57 (4):1685–730. doi:10.1111/1540-6261.00475.
   Web of Science ®Google Scholar
• Constantinides, G. M. 1992. A theory of the nominal term structure of interest rates. Review of Financial Studies 5 (4):531–52. doi:10.1093/rfs/5.4.531.
   Web of Science ®Google Scholar
• Cox, J. C., J. E. Ingersoll, and S. A. Ross. 1985. A theory of the term structure of interest rates. Econometrica 53 (2):385–407. doi:10.2307/1911242.
   Web of Science ®Google Scholar
• Cox, J. C., and S. A. Ross. 1976. The valuation of options for alternative stochastic processes. Journal of Financial Economics 3 (1–2):145–66. doi:10.1016/0304-405X(76)90023-4.
   Web of Science ®Google Scholar
• Duffee, G. R., and R. H. Stanton. 2012. Estimation of dynamic term structure models. The Quarterly Journal of Finance 2 (2):1–51. doi:10.1142/S2010139212500085.
   Google Scholar
• Duffie, D., and R. Kan. 1996. A yield-factor model of interest rates. Mathematical Finance 6 (4):379–406. doi:10.1111/j.1467-9965.1996.tb00123.x.
   Google Scholar
• Filipović, D., M. Larsson, and A. B. Trolle. 2017. Linear-rational term structure models. Journal of Finance 72 (2):655–704. doi:10.1111/jofi.12488.
   Web of Science ®Google Scholar
• Filipović, D., M. Larsson, and A. B. Trolle. n.d. Internet Appendix for “Linear-rational term structure models.” Journal of Finance. doi:10.1111/jofi.12487.
   Google Scholar
• Filipović, D., and A. B. Trolle. 2013. The term structure of interbank risk. Journal of Financial Economics 109 (3):707–33. doi:10.1016/j.jfineco.2013.03.014.
   Web of Science ®Google Scholar
• Flesaker, B., and L. P. Hughston. 1996. Positive interest. Risk 6:46–49.
   Google Scholar
• Heath, D., R. Jarrow, and A. Morton. 1992. Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation. Econometrica 60 (1):77–105. doi:10.2307/2951677.
   Web of Science ®Google Scholar
• Jakarasi, T., C. C. Labuschagne, and O. Mahomed. 2015. Estimating the South African overnight indexed swap curve. Procedia Economics and Finance 24:296–305. doi:10.1016/S2212-5671(15)00664-4.
   Google Scholar
• Julier, S. J., and J. K. Uhlmann. 1996. A general method for approximating nonlinear transfor- mations of probability distributions. Technical report, Robotics Research Group, Department of Engineering Science, University of Oxford.
   Google Scholar
• Kim, D. H., and K. J. Singleton. 2012. Term structure models and the zero bound: An empirical investigation of Japanese yields. Journal of Econometrics 170 (1):32–49. doi:10.1016/j.jeconom.2011.12.005.
   Web of Science ®Google Scholar
• Lindsay, A. E., and D. Brecher. 2012. Simulation of the CEV process and the local martingale property. Mathematics and Computers in Simulation 82 (5):868–78. doi:10.1016/j.matcom.2011.12.006.
   Web of Science ®Google Scholar
• Macrina, A. 2014. Heat kernel models for asset pricing. International Journal of Theoretical and Applied Finance 17 (7):1450048. doi:10.1142/S0219024914500484.
   Google Scholar
• Mercurio, F., and M. Morini. 2009. Joining the sabr and libor models together. Risk 22 (3):80–85.
   Google Scholar
• Nawalkha, S. K., and N. A. Beliaeva. 2007. Efficient trees for CIR and CEV short rate models. Journal of Alternative Investments 10 (1):71–90. doi:10.3905/jai.2007.688995.
   Google Scholar
• Piazzesi, M. 2010. Affine term structure models. In Handbook of financial econometrics: Tools and techniques, ed. Y. Ait-Sahalia and L. Hansen, 691–766. Amsterdam: Elsevier.
   Google Scholar
• Rebonato, R., K. McKay, and R. White. 2009. The SABR/LIBOR market model: Pricing, calibration and hedging for complex interest-rate derivatives. New York: John Wiley & Sons.
   Google Scholar
• Rebonato, R., and R. White. 2009. Linking caplets and swaptions prices in the lmm-sabr model. Journal of Computational Finance 13 (2):19–45. doi:10.21314/JCF.2009.196.
   Web of Science ®Google Scholar
• Rogers, L. C. G. 1997. The potential approach to the term structure of interest rates and foreign exchange rates. Mathematical Finance 7 (2):157–76. doi:10.1111/1467-9965.00029.
   Web of Science ®Google Scholar
• Treepongkaruna, S., and S. Gray. 2003. On the robustness of short–term interest rate models. Accounting & Finance 43 (1):87–121. doi:10.1111/1467-629X.00084.
   Google Scholar
• Wang, G., and W. Xu. 2018. A unified willow tree framework for one-factor short-rate models. Journal of Derivatives 25 (3):33–54. doi:10.3905/jod.2018.1.064.
   Web of Science ®Google Scholar