Wednesday, March 17, 2021

Monopoly Strategy

 Most people think it is all about Boardwalk and Park Place, but designing an algorithm for winning Monopoly is fairly complicated. Listed below is every property along with its location on the board, price, rent, price/rent ratio, and intrinsic value, which is the price the property would cost to make the price/rent ratio equal 12.14 (the average for all properties). For the utilities, I assume the dice roll is seven (which should be the average when rolling two dice). The big caveat here is that I didn't consider the various ways of increasing the value of a property (getting both utilities rather than one, multiple railroads, monopolies, houses, and hotels). Some might argue that additional value should be assigned to Mediterranean, Baltic, Park, and Boardwalk because they only require two purchases to get a monopoly. 

PropertyLocationPriceRentPrice/RentIntrinsic Value
Mediterranean Avenue16023024
Baltic Avenue36041549
Reading Railroad5200258303
Oriental Avenue610061773
Vermont Avenue810061773
Connecticut Avenue912081597
St. Charles Place111401014121
Electric Company12150285340
States Avenue131401014121
Virginia Avenue141601213146
Pennsylvania Railroad15200258303
St. James Place161801413170
Tennessee Avenue181801413170
New York Avenue192001613194
Kentucky Avenue212201812218
Indiana Avenue232201812218
Illinois Avenue242402012243
B. & O. Railroad25200258303
Atlantic Avenue262602212267
Ventnor Avenue272602212267
Water Works28150285340
Marvin Gardens292802412291
Pacific Avenue313002612316
North Carolina Avenue323002612316
Pennsylvania Avenue343202811340
Short Line 35200258303
Park Place373503510425
Boardwalk39400508607
Average


12.14

People might be surprised that Boardwalk did not come in as the best deal, but is tied with Park Place and the railroads behind the best buys on the board: the utilities. I charted the properties by location and price/rent below.

The instinct that the deals improve as one moves toward the end of the board is generally true, but one ironic thing to point out: Mediterranean Avenue (by far the worst deal) is on square 1, so when playing with two dice it will actually on average take longer to land on than any other property on the board.

Tuesday, March 9, 2021

Buying Teslas with Bitcoin

 A brief comment must be made about recent predictions for bitcoin to become some kind of international currency standard. Personally, I've never managed to get excited about a nonproductive asset with no usefulness outside of its perceived value, but a lot of people have gotten excited about it, and made a lot of money with it. Tesla announced last month that it purchased $1.5 billion worth of bitcoin, and plans to start accepting it as payment. Below is a chart comparing bitcoin futures to the Euro/Dollar over the last year. 


What I'm trying to understand is the fact that predictions for bitcoin adoption seem to be tied to its increasing value. For normal currencies, deflation is usually seen as a cause for major concern. One could imagine that if everyone is buying their Teslas with bitcoin, Tesla will have to continually decrease their prices (as the value of bitcoin rises). This will cause buyers to hold off on purchases. Why pay 1 bitcoin for a Tesla this week if it will probably only cost me .9 bitcoin next week? Meanwhile, Tesla is further stressed from the other side of the equation as the price it is now trying to sell cars for is less than what it paid workers and suppliers to build them. By the way, I originally planned to chart a few other major currencies for comparison, but they appeared to have lines pretty much identical to the Euro. 

Sunday, February 28, 2021

Housing Bubble?

 The chart below shows the yearly percent change in the Case-Shiller Minneapolis Home Price Index from 1990 to 2020 (using December to December numbers). The 10.2% increase in 2020 was big, but four of the 31 years analyzed had even bigger increases. The 2020 increase can still be viewed as unique, given that it happened during a recession. The other big increases happened in 2012, during the recovery from the Great Recession, and 1999 to 2001, around the time of the Dot-com bubble. The mean yearly change is 3.92%.



Tuesday, February 16, 2021

Meaning of The Killing of a Sacred Deer

This post contains spoilers for The Killing of a Sacred Deer.


Some have identified the meaning of Yorgos Lanthimos' movie The Killing of a Sacred Deer as detailing a tragedy of karmic fate. Steven caused the death of Martin's father; the movie has us watch the painful march toward an inevitable rebalancing of this transgression, despite all attempts to deny it or avoid it. In reality, the meaning is more complicated than this. The Killing of a Sacred Deer is about the hollowness of vengeance, and the search for meaning in familial relationships. The eating habits of the characters are key to demonstrating this. When we see Steven and Martin eating together at the diner, Steven asks Martin if he is going to eat his fries. Martin explains that he really likes fries and is saving them for last. Steven says that he does the same thing. Later in the movie, Martin is eating spaghetti, and recalls to Anna that he was once told that he eats spaghetti just like his father does. Martin explains that he later found out that everyone eats spaghetti the same way, and that he was even more disappointed by this realization than he was when learning that his father had died. Finally, at the end of the movie, we see the Murphy family eating at the diner while Martin sits at the counter. We see Kim eating her fries without a bite taken from her hamburger. It's easy to view Martin's role in the movie as a messenger from the karmic forces of the universe, but things might make more sense if we view him as more of a protagonist. Martin wanted Steven to replace his father. He took their commonality in the way they eat fries as a sign that such a relationship was warranted. Martin believed that with Bob dead, he would be able to take Bob's place in the Murphy family. The final scene illustrates the hollowness of Martin's vengeance. The family remains together, and Martin remains separate, sitting alone at the counter, and furthermore, vexed that Kim retains her place in the family despite the fact that she doesn't eat fries the way her father does. 

Sunday, January 31, 2021

What is a WallStreetBets?

 The GameStop (GME) saga is certainly unprecedented, at least in some ways, but some have ascribed an anti capitalist narrative to it that really isn't accurate. I have actually followed the WallStreetBets Reddit sub since late 2019, back when it had fewer than a million members. While it may have some complaining of 'hedge fund manipulation', it is anything but anti capitalist. Political discussion is officially not allowed on the sub, but I would describe the users as generally pro Trump. Moreover, discussions on the sub are laced with pejorative use of the words 'gay' and 'retard', and the humor that dominates the sub would be found to be offensive by many on the political left. In fact, what permeates the sub more than anything else is an idolization of wealth. In fact, Martin Shkreli ("Pharma Bro") was supposedly active on the sub before going to prison. I can't confirm whether Shkreli really posted on the sub, but I can say that he is still well regarded by WallStreetBets members. I don't really state these things to say that I have any ill will toward WallStreetBets members, I think a lot of them are just young people who might be a little misguided, but my point is that the narrative that some people have ascribed to them is not accurate. 

The second point that must be made, and perhaps the more important one, is that people should seriously consider whether demanding that Robinhood allow unrestricted trading on GME is irresponsible. The most revered style of trade in the WallStreetBets community is the 'YOLO'. This generally means a high risk/high reward options play that someone places a large amount of money into. Often, the implication is that they are using all the money available to them. In some cases, this includes maximum margin, student loan money, and maxing out credit cards. Granted, this may just be talk, but in the case of GME, the fervor is so intense that I think many actually did this. I don't see any reason that Robinhood would want to protect hedge funds. The reasons they stated for restricting trading appear to be true. Ironically, the first time Robinhood and WallStreetBets were in the news together, it was because a WallStreetBets user had opened a box spread position that he didn't understand the risks of. It put him about $58,000 in debt, and Robinhood was harshly criticized for allowing such high risk trades on its platform. 

This brings me to the third point, the question of how this will all end. There are plenty of financial journalists doing much more in depth analysis than I have, but I will make a few comments about the future of GME. Firstly, many people have referred to a hedge fund going bankrupt, and this needs to be corrected. Melvin Capital and Citron both remain solvent after closing their short positions on GME. According to S3 Partners, the value of GME stock held short is about the same as it was before the short squeeze. Many on WallStreetBets are convinced that Melvin Capital didn't really close their position. This doesn't make sense, because then there would not have been a short squeeze. More likely, is that other hedge funds have taken new short positions. It is likely that the new short positions were taken by larger funds that have calculated the risk of another short squeeze, and feel confident. Given that the stock has gained about 600%, one could calculate that generating another short squeeze would require six times the money. Moreover, some of those GME holders might be paying 18% interest on the credit cards they used to finance their purchases. And of course, I can't end the discussion without looking at GameStop's fundamentals. I compared GME to four companies with very similar market capitalizations. (Total Equity is most recent quarter, net income is last reported annual net income)

Company                          Market Cap   Total Equity  Net Income

Old Dominion Freight Line (ODFL)    22.8B        3.17B         616M

SVB Financial Group (SIVB)          22.7B        8.22B        1.21B

PG&E (PCG)                          22.7B        20.8B       -7.64B

Gamestop (GME)                      22.7B         332M        -471M

Coupa Software (COUP)               22.4B         413M       -90.8M

Surprisingly, GME doesn't look too bad in this group, but at the rate it is loosing money, total equity will be negative before the end of the year. 

There is another discussion that could be had about whether short selling is actually bad. The upward pressure when short sellers buy to cover counters the downward pressure from the short sale, so I don't think long term investors should be concerned about shorting. In the end, companies don't go bankrupt because of short selling or a decline in stock price generally. Companies go bankrupt because people stop buying their products.