Bayraci, Selcuk and UNAL, GAZANFER (2010): Continuous time modeling of interest rates: An empirical study on the Turkish short rate.
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We proposed a continuous time ARMA known as CARMA(p,q) model for modeling the interest rate dynamics. CARMA(p,q) models have an advantage over their discrete time counterparts that they allow using Ito formulas and provide closed-form solutions for bond and bond option prices. We demonstrate the capabilities of CARMA(p,q) models by using Turkish short rate. The Turkish Republic Central Bank’s benchmark bond prices are used to calculate short-term interest rates between the period of 15.07.2006 and 15.07.2008. ARMA(1,1) model and CARMA(1,0) model are chosen as best suitable models in modeling the Turkish short rate.
|Item Type:||MPRA Paper|
|Original Title:||Continuous time modeling of interest rates: An empirical study on the Turkish short rate|
|Keywords:||Interest rate modeling; Continuous-time ARMA (CARMA)process; Lévy process|
|Subjects:||C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation
C - Mathematical and Quantitative Methods > C0 - General > C01 - Econometrics
|Depositing User:||Selcuk Bayraci|
|Date Deposited:||18. Jan 2011 15:17|
|Last Modified:||15. Feb 2013 19:34|
Ait-Sahalia Y., Testing Continuous Time Models of the Spot Interest Rates, “Review of Financial Studies” 1996, 9, p. 385-426.
Ait-Sahalia Y., Transition Densities for Interest Rate and Other Nonlinear Diffusions, “Journal of Finance” 1999, 54, p. 1361-1395.
Andersen T.G., Lund J., Estimating Continuous Time Stochastic Volatility Models of the Short-Term Interest Rate, “Journal of Econometrics” 1997, 77, p. 343-377.
Benth E.B., Benth J.B., Koekebakker S., Stochastic Modelling of Electricity and Related Markets. World Scientific, Singapore 2008.
Brockwell P.J., Continuous-Time ARMA Processes, [in] Rao C.R. and Shanbhag D.N. (editors), Stochastic Processes: Theory and Methods, “Handbook of Statistics” 2000, 19, p.249-276.
Brockwell P.J., Lévy-Driven CARMA Processes, “Annals of the Institute of Statistical Mathematics” 2001, 53, p. 113-124.
Chan K.C., Karolyi G.A., Longstaff F.A., Sanders A.B., An Empirical Comparison of Alternative Models of the Short-Term Interest Rate, “Journal of Finance” 1992, 47, p. 1209-1227.
Chapman D.A., Pearson N.D., Is the Short Rate Drift Actually Nonlinear?, “Journal of Finance” 2000, 55, p. 355-388.
Gray S.F., Modeling the Conditional Distribution of Interest Rates as a Regime-Switching Process, “Journal of Financial Economics” 1996, 42, p. 27-62.
Hong Y., Li H., Zhao F., Out of Sample Performance of Discrete-Time Spot Interest Rate Models, “Journal of Business and Economic Statistics” 2004, 22, p. 457-474.
Pritsker M., Nonparametric Density Estimation and Tests of Continuous Time Interest Rate Models, “Review of Financial Studies” 1998, 11, p. 449-487.
Stanton R., A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk, “Journal of Finance” 1997, 52, p. 1973-2002.