Pricing Interest Rate Options in a Two-Factor Cox–Ingersoll–Ross model of the Term Structure: Table 1
- 1 October 1992
- journal article
- Published by Oxford University Press (OUP) in The Review of Financial Studies
- Vol. 5 (4) , 613-636
- https://doi.org/10.1093/rfs/5.4.613
Abstract
Solutions are presented for prices on interest rate options in a two-factor version of the Cox-Ingersoll-Ross model of the term structure. Specific solutions are developed for caps on floating interest rates and for European options on discount bonds, coupon bonds, coupon bond futures, and Euro-dollar futures. The solutions for the options are expressed as multivariate integrals, and we show how to reduce the calculations to univariate numerical integrations, which can be calculated very quickly. The two-factor model provides more flexibility in fitting observed term structures, and the fixed parameters of the model can be set to capture tie variability of the term structure over time.Keywords
This publication has 20 references indexed in Scilit:
- Exact Solutions for Futures and European Futures Options on Pure Discount BondsJournal of Financial and Quantitative Analysis, 1992
- A One-Factor Model of Interest Rates and Its Application to Treasury Bond OptionsCFA Magazine, 1990
- Pricing and hedging capped optionsJournal of Futures Markets, 1989
- A Lattice Framework for Option Pricing with Two State VariablesJournal of Financial and Quantitative Analysis, 1988
- Efficient Analytic Approximation of American Option ValuesThe Journal of Finance, 1987
- An Intertemporal General Equilibrium Model of Asset PricesEconometrica, 1985
- The Pricing of Options on Default-Free BondsJournal of Financial and Quantitative Analysis, 1982
- The relation between forward prices and futures pricesJournal of Financial Economics, 1981
- A continuous time approach to the pricing of bondsJournal of Banking & Finance, 1979
- The pricing of commodity contractsJournal of Financial Economics, 1976