2 primary factors that influence the difference between Nominal spread and Z-spread for a bond are: a) the steeper benchmark spot rate curve, the greater difference between 2 spreads and b) the earlier principle paid back, the greater the difference between 2 spreads.
Logic for the 2 statements:
1. N-spread doesn’t consider term structure of spot rate. It simply assume benchmark spot rate curve is flat. That’s why it is only a one-point (last point) spread. Z-spread cures this problem; it measures spread along every point of the spot curve. So if the spot curve in flat, Z-spread = N spread; on the other hand, the steeper the curve, the greater of differene of them. What is important to note is The zero-volatility spread (or Z-spread, or static spread) is a measure of the spread that the investor would realize over the entire Treasury spot rate curve if the bond is held to maturity, thereby recognizing the term structure of interest rates. Unlike the nominal spread, the Z-spread is not a spread off one point on the Treasury yield curve but a spread over the entire spot rate curve. It represents a spread to compensate for the target bond’s added risks including credit risk, liquidity risk and volatility risk associated with embedded options.
2. N spread doesn’t consider cash flow change. Earlier principal payback definitely change cash flow. Z spread would adress this change. So compared to stable cash flow bond (bullet maturity bond), armortized bond has Z-spread which is different from N-spread. For bullet bonds, unless the yield curve is very steep, the nominal spread will not differ significantly from the Z-spread; for securities where principal is repaid over time rather than just at maturity there can be a significant difference, particularly in a steep yield curve environment.
The slope of the Treasury yield curve. This is the root cause of the divergence. The steeper the yield curve (either upward sloping or inverted), the greater the divergence. If the yield curve is flat, all spot rates and yields to maturity are the same, thereby eliminating the divergence.
Coupon rate. Assuming the yield curve is not flat, the higher the coupon rate, the greater the divergence. In particular, there is no divergence for zero-coupon bonds.
Lets illustrate all of this with an question / example:
Mike Weishot wants to purchase the Sysco bond shown below. Its rating has declined to BBB+, has a coupon of 11.40% and a price of 117.436. Mike is concerned about both the nominal spread and the Z spread and calculates both carefully. The comparable maturity Treasury has a YTM of 5% and the Sysco bond is currently providing bondholders a YTM of 5.822%. Given the Treasury data below and the information provided above, what is the difference between the zero-volatility spread and the nominal spread






