You can get yesterday's settlements for WTI options and futures from CME. This is for the 1Y Dec21 midcurve options, i.e. options expiring in Dec21 and settling to the price of futures with 1Y to expiry (i.e. Dec22 futures) -https://www.cmegroup.com/markets/energy/crude-oil/light-sweet-crude.quotes.options.html#optionProductId=7570&strikeRange=ALL …
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Are these frequently traded? I have no idea but I'm going to use these prices anyway.
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Plotting option prices against strikes, it looks like relatively clean data, which is a pleasant surprise (note the CME strikes prices are in cents so need to divide by 100)pic.twitter.com/j52WFMGkRo
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I see the futures quoted at 64.73 but it's always good practice to imply a forward price from the options using put-call parity as a sanity check. For the $65 strike I see calls at 5.19 and puts at 5.42 which gives an implied forward of 5.19-5.42+65 = 64.77 which is what I'll use
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You can then use a Black75 options pricer to get implied vols. I used a time to expiry of six months because I couldn't be bothered to do the date math but uh I guess you should do it properly. The numbers look plausible to me but it's always possible I messed it up, not sure
pic.twitter.com/6iERzX3lYW
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Now you have implieds for each option you can calculate Black deltas. By "OTM option" let's assume 25 delta which looks like it's about an 80 strikepic.twitter.com/xL9blKceza
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The pnl for a teeny tiny move in spot is delta * spot_move + vega * vol_move (ignoring gamma, theta etc) which tells you that for the change in vol to offset the spot movement, the vol needs to move by -delta*spot_move/vega.
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Here's what that looks like for a +$1 move in spot, at different strikes. At the 80 strike, the vol needs to drop by 1.2% to offset the gain from the spot movepic.twitter.com/wXDgpHL2Uk
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(Actually its a bit more than this because I ignored gamma but w/e)
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The vol surface is pretty flat around the 80 strike so skew is not really playing a role here (for an ATM option there would be a skew effect, where IV mechanically drops as spot increases, because you roll up the vol surface in strike space)
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BUT the negative skew (puts > calls) implies a negative relationship between price and vol, i.e. all else equal you expect vol to drop when price rises, just like with stocks. So a 1.2% vol drop on a $1 price rise is not crazy at all
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Hence the question -- if I buy OTM calls and spot moves up $2, how much money have I lost? :)
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That's it for this round of
#learninginpublic, now@volmagorov can explain all the ways I screwed it up.4 replies 0 retweets 17 likesShow this thread
End of conversation
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