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Post by Admin on Jan 12, 2014 22:12:03 GMT
So this will be a weekly feature, and the first correct reply (some judgement involved) will be sent a 20% discount code for the Interview Guide (found at salesandtradingcareers.com).
Question 1: You are long a 1Y at the money straddle, delta neutral, the current market is 18% - 22% in terms of implied volatility. You bought this straddled at an 18% vol. You decide to mark the position on an 18% vol instead of the mid of 20% because you pay less decay and have more gamma.
Why wouldn't you do this with all vol you buy? as you end up paying less decay and receive more gamma?
Note the answer has two parts, one more obvious one and another a bit less obvious.
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Post by trader on Apr 2, 2014 22:00:12 GMT
tough... cannot figure out
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Post by Admin on Apr 4, 2014 17:38:08 GMT
tough... cannot figure out Its simpler than it seems. I am waiting for someone to venture a guess before I post the answer.
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Post by shortmycds on Apr 30, 2014 19:37:49 GMT
Does it have to do with the vol buying in this case being the straddle vs. an outright directional buy / spread? i.e. the delta-hedging from the larger gamma would become the 'true' cost in choosing to do so.
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Post by Admin on May 1, 2014 14:50:55 GMT
Guessing enough time has passed to post the answer.
Two aspects to this:
1) vega is just the integral of gamma profits. Therefore lets say the realized vol will be 20%. Ignoring some other affects (covered in point 2), marking the vol at 18% and dynamic hedging will make the same amount of money as buying the vol at 18% and marking it at 20%. In the first case you will make money hedging throughout the life of the option, in the second case you make the money day 1 by marking up the option, and then break even throughout the life of the option. Its really just a case of how PnL is taken. Of course this is all things equal as naturally options are path dependent.
2) The second thing is that by marking down the vol you only increase your gamma locally. dGamma/dVol is negative (lower vol = higher gamma) atm, but its positive (higher vol = higher gammma) away from atm.
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