Option Cost (Z-Spread minus OAS)
The spread difference between Z-Spread and OAS — quantifies the price of the embedded call/put option.
Option Cost = Z-Spread − OAS. It measures how much of the quoted spread compensates for the embedded option rather than credit risk. For a callable bond: Z-Spread = OAS + Option Cost. The option cost is always positive (the call limits upside, costing the bondholder), meaning the issuer effectively keeps some yield compensation for the call privilege. For a putable bond: Z-Spread = OAS − Option Cost (option cost is negative — the put benefits you, so you give up yield). Practical use: Comparing option cost across callable bonds reveals which have the most expensive call features embedded in their price. A bond with 150bp Z-Spread and 120bp OAS has a 30bp option cost — the market prices the call at 30bp. A higher option cost means the bond is more likely to be called.
Z-Spread (Zero-Volatility Spread)
The constant spread added to every point on the zero curve to discount all cash flows to the bond's market price.
Option-Adjusted Spread (OAS)
Credit spread after removing the value of embedded options — computed via BDT binomial tree.
Option Value (Embedded)
The price difference between the option-free bond and the bond with embedded options — measures the option cost in price points.
Current Yield
Annual coupon income divided by the bond's clean price.
Running Yield
Annual coupon income divided by the bond's dirty price (clean price plus accrued interest).
Yield to Maturity (YTM)
The annualized return if you hold the bond to maturity, assuming all coupons are reinvested at the same rate.