Penetapan harga Zero Coupon Bond menggunakan perluasan model Cox-Ingersoll-Ross

Abstract

Interest rate is one of important factors that used to adopt investment decisions. One of investment types is the bond. In reality, the interest rate must not negative. This research, introduces an interest rate model which is an extended of the Vasicek model, that is the Cox- Ingersoll-Ross (CIR) model. In CIR model, the drift and volatility are constant. To approach the reality, in the Extended CIR model, drift and volatility become a function of time. The extended of the CIR model can be used to determine bond prices. The aim of this research is to determine and analyze the zerocoupon bond prices using the extended CIR model. Simulations that are given will illustrate the zero-coupon bond prices in some variation of maturity dates and interest rates. Bond prices is inversely related to interest rates and maturity dates period. If interest rates rise, the bond prices will decline. Moreover, if the maturity dates period become longer, the bond prices will be smaller.