# The Cox-Ingersoll-Ross Interest Rate Model

## Estimate future valuation of interest rate derivatives with the Cox-Ingersoll-Ross interest rate model

The Cox-Ingersoll-Ross interest rate model uses one variable source of market risk to describe and predict interest rate movements. The Cox-Ingersoll-Ross model is an extension of the Vasicek model but improves the main weakness of the Vasicek model, that interest rates cannot be negative. The Cox-Ingersoll-Ross continuous rate model incorporates this economic truth into the structure of its model through the standard deviation factor.

The main use of Cox Ingersoll Ross parameter estimation is the valuation of interest rate derivatives. The exact market size of these derivatives is difficult to estimate because a good portion of interest derivatives trade over the counter. However, we do know that the interest rate derivatives market is the largest derivatives market in the world because of an estimated 80 percent of the top 500 companies using these derivatives to control their cash flow.  If your company decides to follow this method of cash flow management, and at the same time use Cox-Ingersoll-Ross term structure model to predict the pricing movement, there are few items to consider:

1. Understand the basic structure of the Cox-Ingersoll-Ross interest rate model.

2. Examine the continuous time model of interest rate derivatives as it relates to the Cox-Ingersoll-Ross estimation model.

3. Consult finance professionals to help with the Cox-Ingersoll-Ross modeling application.

### Recognize how the Cox-Ingersoll-Ross futures price model works

Before you employ any financial model, knowing how the model works is imperative. Even if you do not understand all the mathematical terms of the equation, studying how the Cox-Ingersoll-Ross interest rate model works will give you insight into its uses.

### Study the relationship of derivatives and the Cox-Ingersoll-Ross parameter estimation

You cannot properly evaluate the efficacy of a financial model in a vacuum. It is important to understand just how the model interacts in the marketplace it endeavors to predict.

### Employ the services of professionals

Now that you understand how the model works, it is always a good idea to obtain input from financial professionals. Your company may have people in-house to handle this, but even so it is prudent to seek a different perspective in any business decision.
• While the Cox-Ingersoll-Ross interest rate model is a useful tool to help your business predict short-term interest rate movements, it should not be the sole determinant in your decision-making process. To make the proper business decision in regards to interest rates requires more than just one factor or model.