Effect of correlation on bond prices in short rate models of interest rates
Mathematica Moravica, Tome 22 (2018) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Short rate models of interest rates are formulated in terms of stochastic differential equations which describe the evoution of an instantaneous interest rate, called short rate. Bonds and other interest rate derivatives are then priced by a parabolic partial differential equation. We consider two-factor models, in which also correlation between the factors enters the bond-pricing differential equation. Firstly, we study the dependence of the bond prices on the correlation in three particular short rate models. The differences and common features of the results motivate us to investigate the dependence of the solution to
the bond-pricing partial differential equation on the parameter representing correlation between the factors in a general case.
Mots-clés :
Short rate model, bond price, correlation
@article{MM3_2018_22_2_a7, author = {Zuzana Girov\'a and Be\'ata Steh{\'\i}kov\'a}, title = {Effect of correlation on bond prices in short rate models of interest rates}, journal = {Mathematica Moravica}, pages = {89 - 101}, publisher = {mathdoc}, volume = {22}, number = {2}, year = {2018}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2018_22_2_a7/} }
Zuzana Girová; Beáta Stehíková. Effect of correlation on bond prices in short rate models of interest rates. Mathematica Moravica, Tome 22 (2018) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_2_a7/