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mrblue
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Joined: June 23rd, 2004, 10:43 am

ONE TOUCH VEGA

August 9th, 2007, 5:27 am

Why a 1 yr one touch has much less vega than a 1 month (other details remaining the same)? I find it a little counterintuitive. If vol increases i would expect that a long dated one touch get more value than a short one beacause it became more probable to be hit...Thank you
 
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tontonkum
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Joined: July 26th, 2007, 12:08 pm

ONE TOUCH VEGA

August 9th, 2007, 7:21 am

If you are talking about an up-in call, i do not get the same results.If you are talking about an up-out call, I get the same results as you, but this time intuition is respected.
 
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mrblue
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Joined: June 23rd, 2004, 10:43 am

ONE TOUCH VEGA

August 9th, 2007, 7:42 am

No, i'm just talking about a one touch at hit. So for example if eurusd reach 1.4000 you get spot 1,000,000 euro.
 
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PS1980
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Joined: April 14th, 2004, 8:54 am

ONE TOUCH VEGA

August 11th, 2007, 9:58 pm

Depends where your spot reference is. If your spot reference is close to the barrier, then the vega is higher for the shorter dated OT (the gamma is higher for this). The price of a OT is the discounted probability of hitting a certain level, and vega is the change in price for a change in vol. So with spot near the barrier, say the price of the 1mth OT is 30% and the 1yr OT is 75%. An increase in vol will increase both prices, but moreso for the shorter dated one as that has more spot convexity. If the price of the 1yr OT is already 75% (i.e. probability of hitting barrier = 75%), relatively how much more probable will an increase in vol make this? Not that much more. Whereas an increase in vol for the shorter dated OT could change the picture from a scenario that wasn't looking that probable to one where it is much more likely. With spot further away the longer dated OT has more vega than the shorter dated one using the same kind of intuition.