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Article

Keywords:
Cox–Ingersoll–Ross two factors model; rapidly oscillating volatility; singular limit of solution; asymptotic expansion
Summary:

References:
[1] D. Brigo and F. Mercurio: Interest Rate Models – Theory and Practice. With smile, inflation and credit. Springer–Verlag, Berlin 2006. MR 2255741
[2] J. C. Cox, J. E. Ingersoll, and S. A. Ross: A theory of the term structure of interest rates. Econometrica 53 (1985), 385–408. MR 0785475
[3] K. C. Chan, G. A. Karolyi, F. A. Longstaff, and A. B. Sanders: An empirical comparison of alternative models of the short-term interest rate. J. Finance 47 (1992), 1209–1227.
[4] J.-P. Fouque, G. Papanicolaou, and K. R. Sircar: Derivatives in Markets with Stochastic Volatility. Cambridge University Press, Cambridge 2000. MR 1768877
[5] K. S. Moon, A. Szepessy, R. Tempone, G. Zouraris, and J. Goodman: Stochastic Differential Equations: Models and Numerics. Royal Institute of Technology, Stockholm. www.math.kth.se/$^{\sim }$szepessy/sdepde.pdf
[6] J. Hull and A. White: Pricing interest rate derivative securities. Rev. Financial Studies 3 (1990), 573–592.
[7] Y. K. Kwok: Mathematical Models of Financial Derivatives. Springer–Verlag, Berlin 1998. MR 1645143 | Zbl 1146.91002
[8] B. Stehlíková: Modeling volatility clusters with application to two-factor interest rate models. J. Electr. Engrg. 56 (2005), 12/s, 90–93.
[9] O. A. Vašíček: An equilibrium characterization of the term structure. J. Financial Economics 5 (1977), 177–188.
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