Can anyone offer help to me by explaining how I can answer this question?

The current rate on 5-year T-Notes is 7% and the current rate on 10-year T-Notes is 9%. What should you expect the rate to be on 5-year T-Notes in 5 years?

I am not looking for the answer directly, just how I can figure it out. I was given an example in class, but cannot figure out how the instructor came up with the numbers.
Thanks

can you give the instructors example

can you give the instructors example

Certainly! Although I don't have the specific example that your instructor provided, I can explain the general concept of how you can figure out the expected rate on 5-year T-Notes in 5 years.

In finance, a common method to estimate future interest rates is by looking at the yield curve. The yield curve represents the relationship between the interest rates (or yields) and the time to maturity of various bonds or securities.

One way to estimate the future rate on 5-year T-Notes is by using the difference between the current rate on 10-year T-Notes and the current rate on 5-year T-Notes. This difference is often referred to as the "term premium" or "spread."

If the term premium remains constant over time, you can assume that the rate on 5-year T-Notes in 5 years would be the current rate on 10-year T-Notes minus the term premium.

For example, if the current rate on 10-year T-Notes is 9% and the current rate on 5-year T-Notes is 7%, and if the term premium is consistently 2%, then you would expect the rate on 5-year T-Notes in 5 years to be 7% (current rate on 10-year T-Notes) - 2% (term premium) = 5%.

However, it's important to note that the term premium is not always constant and can vary over time due to market conditions, economic factors, and investor sentiment. Therefore, this method provides only an estimate based on assumptions and historical trends.

It's also worth mentioning that there are other methods and models used to forecast interest rates, such as the expectations theory, the liquidity preference theory, and various macroeconomic indicators. These models take into consideration various factors and can provide more sophisticated estimates, but they are beyond the scope of this explanation.

So, to determine the expected rate on 5-year T-Notes in 5 years, you would need to know the current rates on both 5-year and 10-year T-Notes and consider the term premium or any other relevant factors based on the available information.