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OAS vs Z-spread

Z-spread = OAS + Option cost
option-free bond used z spread while option embeded option uses OAS. so confused that bond with embeded option must be riskier than option free bond, why use OAS which is smaller than Z-spread . My point is that the riskier bond should have higher spread to compensate for it
Please add some comments

Q1 could be over or undervalue. Triple a =\= riskiness since company can’t print money. Also there is liquidity risk. You not sure if the credit risk plus liquidity is risk is worth more or less than 70 bp.
Q2. Over value. Ur earning less than the spot rate. It means that credit risk and liquidity risk is negative, which is impossible. It’s better if you just purchase a treasury bond

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Since it is market value, the bond with or without option is already priced by the market. You need to know that regardless of using Z spread or OAS, the intended outcome is to make the discounted value = market value.

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“ The OAS is the spread that is added to every single spot rate to make the value of the bond at t = 0 similar to the market value
So the Value of the Bond after the discount which is equal the market value. is this bond price still embeded option or option free?
Thanks

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Your second statement is confusing option cost with OAS. A callable bond won’t have a larger OAS… it will have an option cost.
Although it typically wouldn’t be thought of as subtracting the cost of the option… you would calculate the OAS and then compare that to a similar option-free bond, and then basically say the difference is the cost of the option.
In a hierarchy, Nominal spread - Option Cost - OAS = 0.
If a bond doesn’t have an option, then Nominal Spread technically = OAS.

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g3r41d, so if you compute the OAS on an already option-free bond, you’ll get the Z spread, correct? If the bond is callable, its market price is lower than a non callable bond, b/c it has some strings attached, i.e., the issuer can take it away from you.  So, a callable bond will have an OAS which is larger than a non callable bond…? If puttable, then OAS is smaller?

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^As he said - key is to remember that the OAS is just used for comparison purposes (and when developing a tree to use to find effective duration and maturity). The actual pricing of the bond is still done using the rates that are assumed by the binomial tree model.

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passcfaforsure wrote:
Thanks. So confused. For Monte carlo method , each node has to add OAS to compensate for the optionality. while OAS already dedcucted the Optionality and leaves only (liquidity +credit risk). if they value the bond with option , they should keep the optionlity in the spead to compensate for the risk, why use OAS ( without the otptionlity).
Really appreciate your time. please add some comments
I think that’s where most people initially get confused. Why OAS without option risk is used to value bond with options. The idea of using OAS is really to find the spread of the bond against a reference benchmark without the option cost. Because of its embedded optionality, the value at each node in the binomial tree is not necessarily equal to its discounted present value of it’s one period ahead value. The OAS is the spread that is added to every single spot rate to make the value of the bond at t = 0 similar to the market value.
With this, we will have eliminated the option cost and we can use the OAS to compare against other similar option free bond or similar callable or putable bond.

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Thanks. So confused. For Monte carlo method , each node has to add OAS to compensate for the optionality. while OAS already dedcucted the Optionality and leaves only (liquidity +credit risk). if they value the bond with option , they should keep the optionlity in the spead to compensate for the risk, why use OAS ( without the otptionlity).
Really appreciate your time. please add some comments

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g3r41d-  that did help but one thing i dont understand is how the OAS is the average spread over the life of the bond, because the OAS is only used on the spot curve not the yeild curuve correct?

understanding this part of fixed income has been my biggest down fall

So you can only compare option free and callable bonds that have same maturity?

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