1. I’ve been looking at how tradfi markets are pricing options for public co’s with large exposures to crypto relative to the BTC options market on @DeribitExchange. For this analysis, I focused on @MicroStrategy (MSTR) and Marathon Group (MARA).
2. First, it’s worthwhile exploring how MSTR and MARA trade w.r.t BTC. Ever since MSTR’s buying spree, we’ve seen its beta relative to BTC shift within the +0.6 to +1.0 range. Similarly, we can see MARA is more volatile with a beta of +1.0 to +3.0 in the past few months.
3. In this analysis I'm going to use the rolling 60 day beta values:

- MSTR Beta: 0.76
- MARA Beta: 1.94

In other words, for a 1% increase in BTC we should expect MSTR and MARA to increase by 0.76% and 1.94% respectively.
4. This makes intuitive sense b/c a good chunk of MARA’s business is in mining and this is more volatile than outright buying BTC (similar to GLD vs GDX in tradfi - h/t @ShiliangTang ). As such, if one was super bullish on crypto, a higher beta asset would likely outperform BTC.
5. Similarly, for the rolling 30 and 60 day correlations w.r.t BTC, MSTR’s correlation shot up after the buying announcement whereas MARA’s remained consistently high across time given it is a crypto-focused business.
6. Furthermore, here’s a 30 day rolling realized volatility plot for all three assets. Owning BTC doesn’t look too scary after we compare it to the recent volatility of MARA and MSTR!
7. Now we'll look at how implied vol is priced for these different assets. Let’s look at BTC’s MARCH-26 and MSTR’s MARCH-18 expiries (maturities don’t line up perfectly). MSTR upside call option IV seems to be lower relative to BTC which is expected of a lower beta asset.
8. We can see a massive difference between BTC’s MARCH-26 and MARA's MARCH-18 IV - nearly 100 vol point spread for ATM options! This sort of makes sense given the significantly higher realized volatility of MARA relative to BTC.
9. Our next step is to analyze which option we should buy for the highest ROI if we expect BTC to rally over the next ~2 month period. All of these options have different initial costs so we’ll look at things from an ROI perspective.
10. If we pick a BTC strike that’s 20% higher from the current spot price, then it makes sense to pick a MARA strike that’s 38.8% higher than the current MARA spot price (20% x 1.94 beta) and a MSTR strike that’s 15.2% greater than its spot (20% x 0.76 beta).
11. Using this approach above we can get a sense of which strikes to choose for MSTR and MARA so our comparison is on an equal level. Here we'll be using $40k / $660 / $25 for BTC, MSTR, and MARA strikes respectively.
12. From here we can run scenarios of different prices for BTC and our final ROI across each strategy. If we reprice these options **on the day before** the MARCH-18 maturity, we can get a numerical aprx for our theoretical ROI relative to the initial call price.
13. Note - here we’re only looking at the BTC price, but behind the scenes we’re also finding the new prices of MARA and MSTR. If BTC +10% from its current price, we'll use our beta values (1.974/0.76) and find the new estimated spot prices for MSTR/MARA to reprice the options.
14. *Key assumptions*:
- Betas are constant (the ROI depends on the beta value we use and is sensitive to this parameter)

- The IV is the same when we reprice the option at the end of its maturity (not perfect but we’re only modelling the delta impact here).
15. From this view, BTC options on @DeribitExchange seem to offer the highest ROI if BTC spot is between the $40k - $50k range on March 17. Beyond $50k, MARA slightly outperforms in terms of ROI although the difference is small.
16. Although call IV for MSTR < call IV for BTC, we're not able to get sufficient ROI w/ MSTR calls. Personally, I would've expected MSTR options to do much better but it sorta makes sense - a lower beta asset w.r.t BTC shouldn't have the same ROI as MARA (high beta asset).
17. Some other ideas could be to look at mispricings between the MSTR/MARA/BTC IV and trade that accordingly. I’m thinking there could be a nice relative value trade here. @darshanvaidya , @OrthoTrading , @fb_gravitysucks @rambo1stbld @ShreyasChari
- any ideas / feedback?

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More from @samchepal

15 Jan
1. This legendary $36k call trade led me down a rabbit hole into the world of higher order option greeks to analyze this trade using past historical data. This was a good learning opportunity and I wanted to share some stuff I've been exploring.
2. The $36k JAN-29-2021 calls began trading on @DeribitExchange on Oct. 31, 2020 and had an initial delta of around 3%. At this time, BTC’s index price was trading around $13.5k. On this date, it seemed like a long shot that prices could do a ~3x within 90 days.
3. My guess is the buyer of these calls was trading a re-pricing of risk as opposed to speculating that the price of BTC would actually be >= $36k on Jan 29/2021 (one thing we can say with confidence is they were smart and used @tradeparadigm to avoid massive slippage).
Read 24 tweets
30 Dec 20
1. Congrats to the @opyn_ team for launching V2 - very exciting! I’m happy that the new V2 dashboard has a clean layout with greeks and implied vols for each respective option. It’s also a pleasant surprise to see the prices are closely in line with @DeribitExchange's options.
2. Many folks in this space use options to make directional bets on the underlying price of an asset ie: if we’re bullish or bearish we can buy a call or put respectively. Things get interesting when we move beyond simply trading the direction of where BTC or ETH is going...
3. Unlike futures, with options we can make bets on the underlying volatility of an asset. This style of trading is commonly referred to as “vol trading” which is a slightly more advanced strategy used by sophisticated retail traders and institutions such as @ledger_prime.
Read 24 tweets
26 Dec 20
1. Huge thanks to the devs at @RealHxro for helping me pull data for TIX contracts - really grateful for the responsive team! This is one of the first times I've been able to build out relatively liquid vol curves not only for BTC/ETH but also for alts such as LINK, UNI, and YFI.
2. As a refresher, TIX contracts can be thought of as "cash-or-nothing" options. Here's a thread explaining the details of how these products work.
3. Pricing these options is fairly straightforward as it requires us to only look at the second term of the BSM model. In this case, N(d) represents the prob of option expiring ITM and multiplying by the payoff (K) gives us the EV of this bet. Math from @EGHaug's great book.
Read 17 tweets
19 Dec 20
1. The recent rise in BTC spot and implied volatility has led me to re-read @SinclairEuan's book, “Positional Options Trading”. I found the chapter on volatility positions quite interesting with some useful parallels for crypto vol markets.
2. If we're shorting IV, ideally we want a strike with the largest vol premium. Although deep OTM puts tend to have the highest IV, we need to sell a lot of these options b/c their vega is low. As a result, selling these teeny options in size based only on high IV is dangerous.
3. Another method is to “sell options with the greatest dollar premium over what the option would be worth if it were priced with ATM IV". This allows us to quantify how much of the premium in dollars we are collecting in terms of skew.
Read 10 tweets
12 Dec 20
1. To stay in the game all option market-makers must actively manage their greeks. One of the challenging tasks is aggregating the portfolio vega across different maturities. While we can aggregate the delta/gamma/theta fairly easily, vega is trickier to manage. Let’s see why…
2. Suppose we’re a market-maker trading on @tradeparadigm with a book of three options:

Option A: Maturity = 30 days
- Short 100 contracts
- Vega = 3

Option B: Maturity = 60 days
- Long 50 contracts
- Vega = 6

Option C: Maturity = 90 days
- Long 50 contracts
- Vega = 10
3. An initial (but likely incorrect) approach to aggregate the portfolio vega exposure would be:

- Option A: -100 x 3 = -300
- Option B: 50 x 6 = + 300
- Option C: 50 x 10 = + 500

Portfolio Vega = A + B + C = +500
Read 14 tweets
14 Nov 20
1. It's always fascinating to see different types of exotic derivatives in the crypto space. I was pretty interested to come across @RealHxro's TIX contracts which are crypto binary options. These are similar to vanilla options but the payouts and pricing are slightly different.
2. In this analysis I viewed TIX options as "cash-or-nothing binary options". For a call, this means that at expiry if spot > strike, then you get paid out a certain amount (the odds x the amount you bet). At maturity if spot ≤ strike, the payout is 0. Vice-versa for puts.
3. Here we can see the active TIX contracts. The odds represent the amount you get paid if the contract ends in the money (spot > strike). As an example, for the $20k call, if BTC > $20k on Dec. 25th/2020, then a $1 bet would turn into $5.741. Image
Read 6 tweets

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