Spot rates for corporate bonds

We use spot rates to get an arbitrage-free value for govt bonds (risk- free bonds). But, why do we use the same spot rates to value corporate bonds which carry credit risk ? Shouldn’t we use higher rates?

We don’t.

We do.

Perhaps you’ve heard of the z-spread?

We use the govt. spot rates, but add a spread called Z-spread, and you can adjust the bond values at each node for a bond with an embedded option and calculate the OAS (which excludes the spread for the option).

Got it. Thanks

My pleasure.