CIR Model – Parameter Calibration and short rate simulation The Cox-Ingersoll-Ross (CIR model) interest rate model is a one-factor, equilibrium interest rate model. One factor in that it models the short – term interest rate and equilibrium in that it uses assumptions about various economic
Addendum: How to conduct a Principal Component Analysis in EXCEL There are a couple of problems that the user may face after running the Solver function in EXCEL for the Principal Component Analysis of treasury yield rates. 1. Dummy Values for the Eigenvector matrix The
In this post we will consider how the Black-Derman-Toy (BDT) short rate binomial tree will be used to price options on bonds. Pricing Options The BDT model may also be used to price put or call options on bonds. For the purpose of calculating these
In this post we will consider how the Black-Derman-Toy (BDT) short rate binomial tree will be used to price bonds. Pricing Bonds For example, we illustrate the use of the short rates to price a hypothetical 3-year fixed income bond at issue as follows: Using
Earlier we had looked at how the Black-Derman-Toy (BDT) interest rate model may be constructed in EXCEL. In particular we saw how the median rates and time varying volatilities (sigmas) of the short rate binomial tree were derived. In this post we will see how
Earlier we had considered how to define the various elements (input, output and calculation cells) of the Black-Derman-Toy (BDT) interest rate model in EXCEL. In this post we will link all these pieces together by using the Solver Function of the EXCEL worksheet. Once this
In this post we continue with the definition of the calculation cells of the Black-Derman-Toy (BDT) model in EXCEL by seeing how yields are determined from the prices calculated from the state price lattices. We use these determined yields to derive the yield volatility of
Continuing with the definition of the calculation cells of the Black-Derman-Toy (BDT) model in EXCEL, we will see how prices are determined from the initial yield rates and from the three state price lattices in the post below. Define Calculation Cells c. Calculate Prices from
In this post we continue with the definition of the calculation cells of the Black-Derman-Toy (BDT) model in EXCEL. Three state prices lattices are constructed. Define Calculation Cells b. Construct State Price Lattices The BDT model assumes that the short-term interest rates are log-normally distributed
Earlier we had defined the input and output cells for the Black-Derman-Toy (BDT) interest rate model. In this post we will consider how the first set of calculation cells, i.e. the short rate binomial tree will be defined in EXCEL. Define Calculation Cells a. Construct