Equilibrium Short-Rate Models Vs No-Arbitrage Models: Literature Review and Computational Examples

Ahn, D.-H., and Gao, B. (1999). A parametric nonlinear model of term structure dynamics. Review of Financial Studies, 12, 721-762.10.1093/rfs/12.4.721 Search in Google Scholar

Aït-Sahalia, Y. (1996). Testing continuous-time models of the spot interest rate. Review of Financial Studies, 9(2), 385-426.10.1093/rfs/9.2.385 Search in Google Scholar

Aït-Sahalia, Y. (1999). Transition densities for interest rate and other nonlinear diffusions. Journal of Finance, 54, 1361-1395.10.1111/0022-1082.00149 Search in Google Scholar

Andersen, T. G., and Lund, J. (1997). Estimating continuous-time stochastic volatility models of the short-term interest rate. Journal of Econometrics, 77(2), 343-377.10.1016/S0304-4076(96)01819-2 Search in Google Scholar

Bali, T. G. (1999). An empirical comparison of continuous time models of the short term interest rate. Journal of Futures Markets, 19(7), 777-797.10.1002/(SICI)1096-9934(199910)19:7<777::AID-FUT3>3.0.CO;2-G Search in Google Scholar

Benninga, S., and Wiener, Z. (1998). Binomial term structure models. Mathematica in Education and Research, 7(3), 1-10. Retrieved from https://pluto.mscc.huji.ac.il/~mswiener/research/Benninga73.pdf Search in Google Scholar

Birge, J. R. (2013). Financial engineering. In Gass, S.I., Fu, M.C. (Eds.) Encyclopedia of Operations Research and Management Science. Boston, MA: Springer. https://doi.org/10.1007/978-1-4419-1153-71144 Search in Google Scholar

Björk, T. (2009). Arbitrage theory in continuous time (3rd ed.). Oxford: Oxford University Press. Search in Google Scholar

Björk, T., and Slinko, I. (2006). Towards a general theory of good-deal bounds. Review of Finance, 10, 221-260.10.1007/s10679-006-8279-1 Search in Google Scholar

Black, F., and Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 3, 637-654.10.1086/260062 Search in Google Scholar

Black, F., Derman, E., and Toy, W. (1990). A one-factor model of interest rates and its application to treasury bond options (PDF). Financial Analysts Journal, 24-32. Search in Google Scholar

Black, F., and Karasinski, P. (1991). Bond and option pricing when short rates are lognormal. Financial Analysts Journal, 47(4), 52-59.10.2469/faj.v47.n4.52 Search in Google Scholar

Brennan, M., and Schwartz, E. (1979). A continuous time approach to the pricing of bonds. Journal of Banking & Finance, 3(2), 133-155.10.1016/0378-4266(79)90011-6 Search in Google Scholar

Brennan, M., and Schwartz, E. (1982). An equilibrium model of bond pricing and a test of market efficiency. Journal of Financial and Quantitative Analysis, 17, 301-329.10.2307/2330832 Search in Google Scholar

Brigo, D., and Mercurio, F. (2006). Interest rate models – Theory and practice. Springer Finance. Search in Google Scholar

Buetow, G. W., Fabozzi, F. J., and Sochacki, J. (2012). A review of no arbitrage interest rate models. Encyclopedia of Financial Models, I.10.1002/9781118182635.efm0126 Search in Google Scholar

Buetow, G. W. Jr., Hanke, B., and Fabozzi, F. J. (2001). Impact of different interest rate models on bond value measures. The Journal of Fixed Income.10.3905/jfi.2001.319304 Search in Google Scholar

Cairns, A. (2004). Interest rate models: An introduction. Princeton, Oxford: Princeton University Press.10.1515/9780691187426 Search in Google Scholar

Chan, K. C., Karolyi, G. A., Longstaff, F. A., and Sanders, A. B. (1992). An empirical comparison of alternative models of the short-term interest rate. Journal of Finance, 47, 1209-1227.10.1111/j.1540-6261.1992.tb04011.x Search in Google Scholar

Chen, L. (1996). Stochastic mean and stochastic volatility – A three-factor model of the term structure of interest rates and its application to the pricing of interest rate derivatives. Financial Markets, Institutions & Instruments, 5, 1-88. Search in Google Scholar

Cox, J. C., Ingersoll, J., and Ross, S. (1980). An analysis of variable rate loan contracts. Journal of Finance, 35, 389-403.10.1111/j.1540-6261.1980.tb02169.x Search in Google Scholar

Cox, J. C., Ingersoll J. E., and Ross, S. A. (1985). A theory of the term structure of interest rates. Econometrica, 53, 385-407. doi:10.2307/191124210.2307/1911242 Search in Google Scholar

Doob, J. L. (1953). Stochastic processes. New York: Wiley. Search in Google Scholar

Dothan, U. L. (1978). On the term structure of interest rates. Journal of Financial Economics, 7, 59-69.10.1016/0304-405X(78)90020-X Search in Google Scholar

Dybvig, P. H. (1989). Bond and option pricing based on current term structure (Working paper). St. Louis, Missouri: Washington University. Search in Google Scholar

Ewald, Ch.-O. (2007). Introduction to continuous time financial market models. School of Economics and Finance University of St. Andrews. Search in Google Scholar

Fama, E. F. (1984). Term premiums in bond returns. Journal of Financial Economics, 13, 529-546.10.1016/0304-405X(84)90014-X Search in Google Scholar

Feller, W. (1971). An introduction to probability theory and its applications. Wiley, Vol. 2. Search in Google Scholar

Filipovic, D. (2009). Term-structure models. Springer Finance Textbooks.10.1007/978-3-540-68015-4 Search in Google Scholar

Glasserman, P. (2004). Monte Carlo methods in financial engineering. Springer. Search in Google Scholar

Gurrieri, S., Nakabayashi, M., and Wong, T. (2009). Calibration methods of hull-white model. Derivatives eJournal.10.2139/ssrn.1514192 Search in Google Scholar

Heath, D., Jarrow, R., and Morton, A. (1990). Bond pricing and the term structure of interest rates: A discrete time approximation. Journal of Financial and Quantitative Analysis, 25, 419-440.10.2307/2331009 Search in Google Scholar

Heath, D., Jarrow, R., and Morton, A. (1991). Contingent claims valuation with a random evolution of interest rates. Review of Futures Markets, 9, 54-76. Search in Google Scholar

Heath, D., Jarrow, R., and Morton, A. (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation. Econometrica, 60(1), 77-105.10.2307/2951677 Search in Google Scholar

Hillebrand, E. (2003). A mean-reversion theory of stock-market crashes. Economic papers. Retrieved from http://www.bus.lsu.edu/ Search in Google Scholar

Ho, T. S. Y., and Lee, S. B. (1986). Term structure movements and pricing interest rate contingent claims. Journal of Finance, 41. doi:10.2307/232816110.2307/2328161 Search in Google Scholar

Ho, T. S. Y., and Lee, S. B. (2004). The Oxford Guide to financial modeling: Applications for capital markets, corporate finance, risk management and financial institutions. Oxford: Oxford University Press. Search in Google Scholar

Hull, J., and White, A. (1990). Pricing interest-rate derivative securities. The Review of Financial Studies, 3(4), 573-592.10.1093/rfs/3.4.573 Search in Google Scholar

Hull, J., and White, A. (1993). One factor interest rate models and the valuation of interest rate derivative securities. Journal of Financial and Quantitative Analysis, 28(2), June, 235-254.10.2307/2331288 Search in Google Scholar

Hull, J., and White, A. (1996). Using Hull-White interest rate trees. Journal of Derivatives, 3(3), Spring, 26-36.10.3905/jod.1996.407949 Search in Google Scholar

Hull, J. (2011). Options, futures, and other derivatives. Prentice-Hall. Search in Google Scholar

Jamshidian, F. (1991). Bond and options evaluation in the gaussian interest rate model. Research in Finance, 9, 131-170. Search in Google Scholar

Jamshidian, F. (2010). An overview of interest-rate option models (Working paper), FELAB, University of Twente. Search in Google Scholar

Krishna, P. (2021). Bond Price using Binomial Lattice Model. Retrieved April 25, 2021 from https://www.mathworks.com/matlabcentral/fileexchange/33891-bond-price-using-binomial-lattice-model. MATLAB Central File Exchange. Search in Google Scholar

Li, A., Ritchken, P., and Sankarasubramanian, L. (1995). Lattice Models for pricing American interest rate claims. The Journal of Finance, 50(2), 719-737.10.1111/j.1540-6261.1995.tb04802.x Search in Google Scholar

Longstaff, F. (1989). A non-linear general equilibrium model of the term structure of interest rates. Journal of Financial Economics, 23, 195-224.10.1016/0304-405X(89)90056-1 Search in Google Scholar

Longstaff, F. (1992). Multiple equilibria and term structure models. Journal of Financial Economics, 32, 333-344.10.1016/0304-405X(92)90031-R Search in Google Scholar

Longstaff, F., and Schwartz, E. (1992). Interest rate volatility and the term structure: A two-factor general equilibrium model. Journal of Finance, 47, 1259-1282.10.1111/j.1540-6261.1992.tb04657.x Search in Google Scholar

Maghsoodi, Y. (1996). Solution of the extended CIR Term Structure and Bond Option Valuation. Mathematical Finance, (6), 89-109.10.1111/j.1467-9965.1996.tb00113.x Search in Google Scholar

Merton, R. C. (1973). Theory of rational option pricing. Bell Journal of Economics and Management Science, 4, 141-183.10.2307/3003143 Search in Google Scholar

Mishkin, F. S. (1978). Efficient markets theory: Implications for monetary policy. Brookings Papers on Economic Activity, 3, 707-752.10.2307/3217956 Search in Google Scholar

Pesando, J. E. (1979). On the random walk characteristics of short- and long-term interest rates in an efficient market”. Journal of Money, Credit and Banking, 11(4), 457-466.10.2307/1992047 Search in Google Scholar

Poterba, J. M., and Summers, L. H. (1988). Mean reversion in stock prices: Evidence and implications. Journal of Financial Economics, 22(1), 27-35.10.1016/0304-405X(88)90021-9 Search in Google Scholar

Ritchken, P., and Sankarasubramanian, L. (1995). Volatility structures of forward rates and the dynamics of the term structure. Mathematical Finance, 5, 55-72.10.1111/j.1467-9965.1995.tb00101.x Search in Google Scholar

Rudin, W. (1987). Real & complex analysis. McGraw-Hill. Search in Google Scholar

Stroock, D. W. (1999). Probability theory: An analytic view. Cambridge: Cambridge University Press. Search in Google Scholar

Svoboda, S. (2004). Interest rate modelling. London: Palgrave Macmillan.10.1057/9781403946027 Search in Google Scholar

Treepongkaruna, S., and Gray, S. (2003). On the robustness of short-term interest rate models. Accounting and Finance, 43(1), 87-121. doi: 10.1111/1467-629x.0008410.1111/1467-629X.00084 Search in Google Scholar

Vasicek, O. (1977). An equilibrium characterization of the term structure. Journal of Financial Economics, 5(2), 177-188. CiteSeerX 10.1.1.164.447. Retrieved from http://homepages.ulb.ac.be/~cazizieh/Statf508_files/vasicek-1977.pdf10.1016/0304-405X(77)90016-2 Search in Google Scholar

Weisstein, E. W. (n.d.). Wiener Process. Retrieved from http://mathworld.wolfram.com/WienerProcess.html Search in Google Scholar