December 2nd, 2003, 2:08 pm
For pricing an option on a US Treasury, you're right - you probably wouldn't be interested in the dirty price.But what if you wanted to calculate the Value-at-Risk of a portfolio of bonds? The market value of each bond is the dirty price so applying a 'clean price' vol would overstate your risk, as the dirty price is proportionately less volatile, since it has the non-stochastic accrued interest component.And not every bond is a government treasury.... what about junk bonds with very high coupons, where there is significant default risk, especially as the accrued interest builds up? In general I think it's a tricky issue.