Entering my sophomore year of high school, I decided to relinquish three weeks of summer vacation to take a course in "International Markets and Finance" at Brown. Despite doing what any fourteenyearold would cringe at, I actually had a lot of fun and learned from my intelligent peers and professor. It was a great introduction into the world of finance and definitely gave me a new perspective at the trading world. During our coursework, we were assigned a paper trading project in order to make some virtual dough. After competing with other teams in our class, we were going to be evaluated on performance and strategy by our professor. Our class duration of three weeks was a tiny time frame to measure any kind of performance or skills, because success inevitably laid in selecting stocks and hoping it rallied. What was worse, we couldn't short stocks or trade options, futures, or any derivatives. Given these shortcoming, I dipped into my bag of tricks and tips that I learnt from my trading gurus at TastyTrade and picked 'betaweighting delta'. So what exactly is 'betaweighting delta'? Betaweighting delta on a portfolio is one number that can tell us as to how much our portfolio can move up if the index moved up 1 point  or much our portfolio would move down if the index lost 1 point. While this didn't necessarily help in picking lucky stocks, it did help us watch the impact any of our picks made on our portfolio. While our team didn't win the stockpicking competition, our unique approach to portfolio management won us some accolades from my professor. In a past post, I previously discussed the important Greek metric: delta. Deltas of an option are the measure of how much the option price would move for a $1 move in the price of stock. While a bit different, the concept of the 'beta weighted delta' of a portfolio remains the same: it answers the question as to how much your portfolio would gain (or lose) for a $1 gain (or loss) in the index that you are betaweighting against. So what is beta? Beta is a measure of volatility for a specific stock. This is computed by your trading platform based on historic relations with the index. Different stocks have different betas. Listed below are a few betas: As you can see, Amazon's (AMZN) beta is 1.48 while that of Facebook (FB) is 0.71. The benchmark index SPY is 1. Beta of the stock helps us infer the volatility of the stock compared to the index. So Amazon's at 1.48 means it is about 48% more volatile than SPY and if the index rallies up one point, Amazon could rally up 48 points. Using beta, we can beta weight all of our stocks against the index which in essence would compare a diverse group of stocks into some sort of equivalence using the index. The formula and calculation of the beta weighted delta is as follows: Consider for example a simple FANGs portfolio in which we have short 30 delta put (that is, we have long bias in the four stocks). Here we have found the beta weighted delta for all four stocks So if you sum up all the beta weighted deltas of individual stocks, you get the beta weighted delta of your portfolio  in our example it's 347.05.
This single number gives us a bird'seye view of the risk in our portfolio . Using this information, we can strategically position ourselves to neutralize our deltas and reduce risk. We could hedge our portfolio against a downturn by selling about 347 deltas worth of SPY which can be done by either straight selling 357 SPY stocks or selling say about 7 ATM calls of SPY (each ATM call is 50 delta). Note that the beta weighted deltas constantly fluctuate with price so any and all adjustments should be made with the current prices. Most good trading platforms (like TastyWorks) provide these calculations for free so traders can focus on trading and not crunching numbers. Having a basic understanding of this concept will go a long way in managing your portfolio. Thank you for reading! :)
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Stock: UAL United Airlines (Market Price: $53.50)
Volatility @ Sell: 49.83% Volatility @ Buy: 42.00% Volatility Contraction or "Crush": 7.83% Expected Move: Midpoint of BidAsk Spread of Selling ATM Call: $.93 Midpoint of BidAsk Spread of Selling ATM Put: $1.40 Sum: $.93+$1.40= $2.33= Expected Move of stock's price 1. Sold call @ ATM Strike of $53.50 for premium of $.93 (To break even, the stock must not cross $53.50 + $.93. To profit, the stock must be below the break even price) 2. Sold put @ ATM Strike of $53.50 for premium of $1.40 (To break even, the stock must not go below $53.50$1.40. To profit, the stock must be above the break even price) 3. Combined Both transactions were sold at ATM (atthemoney, or equal to current market price) strike prices. The premiums sold were the midpoints of the respective option's bidask spread. In order to profit, with the combined transaction, the stock's price must be above below the #1's break even price and above #2's break even price. This means I must be within +$.93 or $1.40 of the ATM strike/current price. The total range of movement allotted for me to profit is $2.33. As stated above, and not coincidentally, the expected move of a stock is determined by the sum of the midpoints between the bidask spread (midprice fills) for selling ATM calls and put, or $2.33. The sum of the premiums (the midpoints) is the expected move and the range that I want to be in in order to profit! Every quarter, most publicly traded companies release earnings reports to inform shareholders of their sales, profits, outlook for next quarter etc. Upon and preceding the release of these reports, fear strikes in the market. When fear is high, a stock's price is considered volatile and there is inflated implied volatility (IV) in the derivatives/options market. Increased implied volatility corresponds to increased option prices, allowing traders, who are typically premium sellers, to open short positions. Post earnings announcement the implied volatility collapses and the options price kind of 'normalizes'.
To get a sense of this heightened IV prior to earnings, you can look at the options chain. The options chain closest to the earnings date (front month/week) will display an very high IV when compared to the other options chains going out farther in time (back month/week). Say if the front week is displaying an IV of 25% and the back week is displaying an IV of 20%, we can infer that post earnings announcement, the IV of the front week will collapse by about 5%. This 5% volatility crush to is the volatility contraction that the premium sellers are counting on to profit off of. The greater the volatility contraction, or "crush", percentage, the greater traders with short position profit. 
NishaNinteen yearold trader, future connoisseur of options. Follow me on Twitter!
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