# Nominal Yield Spread

## What is a Nominal Yield Spread?

A nominal yield spread is the difference, expressed in basis points, between the Treasury and non-Treasury security of the same maturity. It is the amount that, when added to the yield at one point on the Treasury yield curve represents the discount factor that will make a security's cash flows equal to its current market price.

## Understanding Nominal Yield Spreads

Nominal yield spreads are a convention frequently-used in pricing certain types of mortgage-backed securities (MBS). There are many different types of MBSs, but most of them trade at a nominal yield spread. These MBSs are priced at a spread over the interpolated Treasury curve at the point equal to their weighted average life (WAL).

A yield spread is a difference between the quoted rate of return on different debt instruments which often have varying maturities, credit ratings, and risk. The spread is straightforward to calculate since you subtract the yield of one from that of the other.

The nominal yield spread is considered easy to understand since it involves assessing the difference between a corporate bond yield to maturity and the value of the equivalent Treasury bond having the same timeline. You are comparing the government and corporate versions of the same bond with identical maturity terms.

A nominal yield spread defines one point along the entire Treasury yield curve to determine the spread, at that particular single point, where the price of the security and the present value of the security's cash flow are equal.

The ease-of-use for nominal yield spreads comes with certain drawbacks attached to it. For example, the spread does not reveal underlying options or derivatives and their associated risks. It also does not consider spot maturities, which can make a difference to the overall demand, for the bond.

### Key Takeaways

• A nominal yield spread is the difference between a Treasury and non-Treasury security with the same maturity.
• The spread is frequently used in pricing certain types of mortgage-backed securities.

## Other Types of Yield Spreads

A zero-volatility spread (Z-spread) measures the spread realized by the investor over the entire Treasury spot-rate curve, assuming the bond would be held until maturity. This method can be a time-consuming process, as it requires a lot of calculations based on trial and error. You would basically start by trying one spread figure and run the calculations to see if the present value of the cash flows equals the bond’s price. If not, you have to start over and keep trying until the two values are equal.

An option-adjusted spread (OAS) converts the difference between the fair price and market price, expressed as a dollar value, and converts that value into a yield measure. Interest rate volatility plays an essential part in the OAS formula. The option embedded in the security can impact the cash flows, which is something that must be considered when calculating the value of the security.

## Example of a Nominal Yield Spread

Suppose the yield to maturity for a Treasury bond is 5% and the corresponding figure for a comparable corporate bond expiring at the same time is 7%. Then the nominal yield spread between the two bonds is 2%.

An example of the use of nominal yield spreads is their use in MBS pricing for derivatives guaranteed by the Government National Mortgage Association (GNMA), a government organization that provides loans to first-time home owners with low- to medium-income. MBSs backed by GNMA guarantee full and timely repayment of principal with interest.

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