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dkkchan
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Joined: November 10th, 2003, 1:54 pm

dirty price vol and clean price vol

December 2nd, 2003, 7:05 am

Is anyone telling me that the conversion method for dirty price vol and clean price volatility?Regards
 
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daveangel
Posts: 5
Joined: October 20th, 2003, 4:05 pm

dirty price vol and clean price vol

December 2nd, 2003, 8:29 am

the relationship between clean prices and dirty prices is deterministic .. hence vol must be the same.good luck
knowledge comes, wisdom lingers
 
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andym
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Joined: July 14th, 2002, 3:00 am

dirty price vol and clean price vol

December 2nd, 2003, 8:52 am

nope, clearly price vol will need to be adjusted by the ratio of the dirty to clean price.
 
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daveangel
Posts: 5
Joined: October 20th, 2003, 4:05 pm

dirty price vol and clean price vol

December 2nd, 2003, 9:07 am

You are right .. apologies
knowledge comes, wisdom lingers
 
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MattF
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Joined: March 14th, 2003, 7:15 pm

dirty price vol and clean price vol

December 2nd, 2003, 12:30 pm

Isn't there a more fundamental question here than the vol conversion?Should one build a tree with clean bond prices, using a 'clean price' vol, and add in the accrued interest afterwards? Or should you use the 'dirty price' vol throughout, although the price will then have a varying amount of accrued interest in it throughout the tree.Intuitively I feel using clean prices is better - but then that raises the problem of whether bond price vols are taken be on the clean price or not?
 
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godfather
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Joined: July 16th, 2003, 11:32 am

dirty price vol and clean price vol

December 2nd, 2003, 1:16 pm

all bond option pricing is of course on the clean price.don't see why one would be interested in the dirty price vol.
 
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MattF
Posts: 6
Joined: March 14th, 2003, 7:15 pm

dirty price vol and clean price vol

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.