- This topic has 5 replies, 2 voices, and was last updated Apr-175:18 pm by
Sophie Macon.
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Up::3
thanks @sophie got that now. One last question regarding this statement
If we assume a higher volatility, the market price is unaffected but our model price will be; for example our callable price will be lower.
Wouldn’t the market price of a callable bond falls as well when the volatility increases?
Callable bond = straight bond – call option -
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Up::2
Nope. Model price is basically pricing a callable bond, but using risk free rate (which is incorrect as the credit risk is higher than that). Remember that OAS reflects compensation for liquidity risk, credit risk and model risk.
Market price is the actual market price of that callable bond using the ‘real/true’ rates.
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Up::0
Hi @vincentt:
1. OAS = Z spread – option cost.
If volatility increases, the value of call option increases,so for a given Z spread, OAS should be lower.2. Because his model is pricing a callable bond based on risk free rates, so he’s assuming for example a callable bond issued by AAA government for example. But as mentioned, in reality he is assessing a callable bond with high credit risk, and this is not taken into account in his model pricing if it’s priced on risk free rates!
3. Similar to question 1, it’s saying that if volatility increases, price of call option increases, OAS reduces (for the model price that uses risk free rate). So it brings it closer to real market price, because callable bond = straight bond – call option value. So OAS and callable bond price move in the same direction.
4. This may make more sense now given 3? Note that if it’s puttable bond then the case is different. The relationship of OAS and bond (option-embedded) price depends on whether the option is bought or sold.
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