Maker and Taker: Catch Me If You Can

By using math, science, and computers to detect slight imperfections in the market, people made fortunes, but in many ways this type of arbitrage was fair. Those who studied the coin in great detail had a better chance of predicting the outcome of the coin flip. But has the pendulum swung too far?
— Brad Kaysuyama (Book Review of "Dark Pools")

So is there a market structure problem in today’s high-speed electronic trading venues? More importantly, how does it affect our trading and what do we do about it?

In our view, the problem facing a bona-fide professional trader today isn’t the practice of high-frequency trading itself. Nor can the mad quest for speed be blamed on the underlying maker-taker model for encouraging liquidity in today’s electronic market. It is an indisputable fact that faster automated trading with greater liquidity helps build today’s modern financial markets. But speed in and of itself is not the real issue here. We will need to look deeper into the market structure to tease apart the problem.

We know that liquidity has different time horizons for different market participants; they are not all the same. We recognize that speed is only a technology enabler, not a root cause of the problem. When considering proposals to put in “speed bumps” for high frequency traders, one could not help but wonder if the cart is now in front of the horse. Who is to decide what is fast for whom and what is not? And how fast is fast anyway? Perhaps 350 microseconds delay for all may be a good start? Henry Ford nailed it on the head with his apocryphal quote:

Machine Learning 101: "You've got to learn to slow down. Nobody knows you're a Bot until you start running in front of humans." (Image Credit: Samory Kpotufe).

Machine Learning 101: "You've got to learn to slow down. Nobody knows you're a Bot until you start running in front of humans." (Image Credit: Samory Kpotufe).

No one said they wanted faster horses, they wanted less horseshit.
— Henry Ford (Not!)

Recall that this was the 1900’s, more than a hundred years ago when motoring down the street at 15 miles per hour was considered breakneck speed. But horse manure won hoofs down anyway. So the horse-and-buggy industry soon gave birth to America’s automotive industry. The interstate highway followed, changing the way we get around this country. "Trading is just plumbing," as Andy Kessler explains in his insightful Wall Street Journal op-ed piece, "the risk is not that the markets are unfair, but that markets don't function and things start to back up." And nobody wants that stuff to hit the ceiling fan.

It is understandable that everyone on Wall Street needs to get paid for their privileged participation, from the deal makers to the market makers. One does not begrudge the players their rightful share for as long as they continue to serve a useful role. However, we are staunch believers that technology will ultimately democratize access to the financial markets for new entrants with better ideas or better services. Well-intentioned regulations sometimes have unintended consequences. The SEC’s Reg NMS created loopholes in the U.S. stock markets for some to exploit, for others to work around, but always for entrepreneurs to fix. In our view, quant finance is an eminently hackable industry, alongside education, healthcare, and other industries that can be improved with technology; and Silicon Valley is our Ground Zero. Don’t think it’ll happen under the clear sunny skies here? Tell us why. We really like to hear your thoughts.

The problem, as we see it from a trader’s point of view, is with high-frequency tactics that are deceptive, invasive and manipulative. They interfere with fair and honest trading in the market by misrepresenting liquidity, distorting the true picture of supply and demand, and skimming the market. Such ill-intentioned practices are said to frustrate the market (i.e., a nuisance), as opposed to well-intentioned practices that facilitate the market. This distinction is important. We call market participants who employ HFT tactics for deceptive, invasive, and manipulative purposes the fakers, stalkers, and predators, respectively. They are the rotten apples in the bottom of the HFT barrel.

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It’s All History Now: Reminiscences of Stock Market Operators on Wall Street. (Image Credit: Forbes).
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It’s All History Now: Reminiscences of Stock Market Operators on Wall Street. (Image Credit: Forbes).

Technically speaking, the stock market is what is called a "continuous double-auction" trading system that matches buy and sell orders using an "order book" model that is based on "price-time priority". But what really makes things complicated is that there are altogether 13 public exchanges in the U.S. that an order can route to, plus 45 "dark pools" currently in operation. We know that deep within today’s electronic market structure lurk the following types of HFT characters:

 
A high-speed chase game. (Image Credit: Dreamworks).

A high-speed chase game. (Image Credit: Dreamworks).

  1. Free Rider (aka Front Runner): Capturing information about what an investor wants from one place, then racing ahead to the next place and trading there at advantageous prices.
  2. Quote Stuffer: Entering numerous layered, market-moving orders to create a false appearance of buy- or sell-side pressure so as to trade at advantageous prices.
  3. Feed Blaster: Flooding the market with phantom orders at a high enough rate to slow down a direct exchange feed at any chosen time.
  4. Stop Hunter: Sending a flurry of market orders ahead of news release to move market one way, triggering stop-loss orders that swing the market in the opposite direction.
  5. Fire Starter: Sending a flurry of market orders to ignite momentum that moves price in the right direction and in the right way to entice others to jump on the bandwagon.
  6. Invisible Jumper: Jumping ahead in the limit order queue via a special order type called “Hide Not Slide” that makes them invisible to others.
  7. Zero-Plus Scalper: Queuing on both sides of bid and ask lines to pick up rebates with little risks, and fleeing to save own skin upon the first sign of trouble.

Like other professional traders, these denizens of the modern electronic markets all seek to learn about latent supply and demand in the market, at minimal costs and with minimal risks, as a precursor to trading. This is what all traders do anyway and is perfectly alright. However, fakers, stalkers, and predators employ HFT tactics that are highly controversial or questionable by the standards of professional conduct that govern human traders. This is where things get dicey. For example, even though HFTs supply the bulk of the orders to the exchanges, many are immediately canceled, and only a select few actually execute. This is a characteristic behavioral profile common among HFTs; it is as though they are trying to play a never-ending game of “catch me if you can” with the many hapless human traders and investors.

Absent any clear written “rules of the road”, how is anyone to judge one way or the other? The rule of law requires that the law be first spelled out, before they can be interpreted, argued, debated, discussed, and finally understood, respected, and obeyed. That’s how we do things in the human world, e.g., when it comes to such matters as: who gets to drive in the carpool lane, or who goes first at an intersection with stop signs. But in trying to comprehend the realm of HFT Bots, absent any guidelines, we inadvertently fall into the trap of trying to see things through an anthropomorphic lens of human stereotypes (e.g., as we have amply illustrated thus far). That’s when emotion overwhelmed reason, with predictable outcome of confusion followed by occasional bursts of “road rage”. The issue here is not speed; it is fairness in the context of unambiguous “right of way” for all market participants.

From the point of view of geography, however, speed is its raison d'être. Let’s take a good look at the map of north New Jersey to see how geography determines high frequency trading speed. Mahwah, where NYSE is located, is just 40 miles north of Carteret, where NASDAQ is located. Weehawken is right across the Hudson, smack in the middle of these two. A trading signal that originates from Lower Manhattan travels up the West Side Highway and out the Lincoln Tunnel. Immediately outside the tunnel, in Weehawken, sits the BATS exchange. So BATS is always the first stock market to receive orders coming from Lower Manhattan. As Eric Hunsader of Nanex explains:

When you want to buy a lot of stock, you’ve got to go to multiple exchanges to get it. That’s one of the things Reg NMS did. It took all of the liquidity in one spot and split it up. The order, if it comes into BATS first, a high-frequency trader there will see that trade execution. Immediately, on the blue line, up to Mahwah, they will signal up to their other machine to say, “Buy everything that’s available.” And they can do that faster than the order gets to the NYSE. It’s the fastest network there is. They’re able to remove that order on the other side. The only reason they made that purchase in the first place is because they saw this other order coming in.
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A tale of three cities. (Courtesy of Eric Scott Hunsader and Nanex)
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A tale of three cities. (Courtesy of Eric Scott Hunsader and Nanex).

For professional traders and investors, the solution to this problem of “free riding” (aka “front running”, but this label is highly controversial) is a program called Thor, created by Brad Katsuyama (of “Flash Boys” fame). Thor was designed to time the trades by slowing down the faster orders to match the speed of the slowest order in the group so everyone would hit, say, BATS, the NYSE, and NASDAQ all at the same time. A high-frequency trader at each one of those facilities couldn’t see it fast enough to react and get to the other exchange. “But Thor only works when the networks are clear and uncongested,” according to Eric Hunsader, “It doesn’t always work, but it works often enough.

From the point of view of ordinary investors, it is fair to say that HFTs offer greater liquidity and reduced spreads, thus improving trade execution. In any case, retail investors need someone to take the opposite side of their trades and HFTs are happy to do just that. Problem is: retail investors are considered uninformed traders. That means they trade for reasons other than correcting for asset mis-pricings. Statistically speaking, retail investors are very good at making very bad decisions all on their own. That’s why HFTs love to give retail investors what they want. In fact, HFTs are willing to pay good money for the privilege of doing so; and retail brokerage houses are only too happy to oblige. This practice, called “payment for order flow”, is officially sanctioned by the SEC because it allows smaller venues, such as “dark pools”, to compete more effectively with the NYSE. In short, high frequency traders make their profits the old-fashioned way, just by being on the right side of the trade. For HFTs to internally cross trades that are routed their way by the retail brokerage houses, i.e., internalization, speed is not at all an important consideration. Unless, of course, when they decide to pass along orders that they don’t want onto the exchange for trading. Considering that it is statistics, not speed, that really matters here, these order flow internalizers (numbering 200+ at last count) are beginning to look like Type 2 Bots (à la Shannon’s Outguessing Machine) that we have seen earlier.

 
We are all in this together: You make (market), I take (risk), and she gets paid (commissions). Hmmm... (Image Credit: Wall Street Journal).

We are all in this together: You make (market), I take (risk), and she gets paid (commissions). Hmmm... (Image Credit: Wall Street Journal).

We can learn a lot from studying the structure of the equity market. After all, technology and market innovations from equity trading eventually spill over to the foreign exchange market at some later time. A typical HFT derives its unique advantage from a combination of four factors:  colocation, data feeds, order types, and rebates (collectively the “four horsemen of high frequency trading”). For new entrants, however, the U.S. equity market represents high infrastructure costs, complex market access rules, and uncertain regulatory risks. In short, the U.S. stock market appears to be a less-than-friendly first market for us to start a trading operation. It’s not for beginners.

In stark contrast, the foreign exchange market is global in nature and subject to little regulation. Venues are free to differentiate themselves; no two venues have precisely the same structure. What’s more, market access is easy and affordable. Our intuition tells us that such a rich market ecology offers the best opportunity for finding a defensible trading niche, and gives us the best chance of survival in the long term. Let’s hope we are right about this.

So what lessons have we learned? First, stay away from markets populated by fakers, stalkers, and predators (or learn quickly to avoid them). Second, slow down (e.g., like Thor) to get there sooner. Rest assured that all our Type 2 Bots take these lessons to heart before they graduate from our lab and enter the real markets.

Slow down ...

Slow down ...

... and get there sooner.

... and get there sooner.

References:

  1. Patterson, Scott (2013). Dark Pools: The Rise of the Machine Traders and the Rigging of the U.S. Stock Market (First ed.). Crown Business.
  2. Lewis, Michael (2014). Flash Boys (First ed.). W. W. Norton & Company.

A Ship and A Treasure Map

To summarize, we have by now defined the following set of three orthogonal, but interconnected, tasks that constitute the minimal software engineering efforts required to build the MVP of our business model:

  1. Assemble an initial "minimum strategy set" using only known strategy types for the sake of simplicity;
  2. Find an easy, practical way to fit a subset of the chosen strategies to the evolved market when it comes time to deploy (i.e., what else can we do if not "strategy-market fit"?); and
  3. Apply proven machine learning techniques to build a "Type 2 Bot" that knows how to search and capture novel trades along the opportunity frontier.

But how does the completed MVP actually get to the opportunity frontier to conduct search and capture? MVP will need two things: a means of transport, and a good map.

We have found a fast ship that can transport MVP across the oceans to get to the opportunity frontier at reasonably low latencies. Not the lowest, but low enough. This works nicely for us as we are treasure hunters, not ship builders. The ship operator seems honest and reliable, and does not appear to have a hidden agenda (no, we don't think MVP is being sold into indentured servitude). We think an economy hammock on this ship may do quite nicely for now, as MVP has quite a few more of such trips planned ahead (if he survives this very first one!).

Next, we will need to give MVP a good treasure map, For this we enlist the help of a cartographer (aka "map maker"). She is pretty good at her craft; and an astute businesswoman, too. The cartographer gently reminds us that: "Finding the way once is luck. Finding the way twice takes a good map." We wholeheartedly agree. Lady Luck, who practices divination with a crystal ball just two doors down the hallway, appears to have an uneven temperament. Many of her trading clientele were known to have died mysterious deaths and were never heard from again.

"A diamond for each map," beams the cartographer, "but upon your return." She certainly has our best interest in mind and we appreciates her vote of confidence in our untested ability to bring back treasure. There is no doubt we'll be doing a few more such map-for-diamond trades with the cartographer; we just need to be sure our business stays afloat after this very first perilous journey at sea. We hope that we are not her guinea pigs. After all, she still holds her day job at the cartographic department at a local university.

All great adventures start with a good ship.

All great adventures start with a good ship.

The Three Steps to the Hidden Treasure: Successful Strategies for Bots that Win; a.k.a. the map that inspired a near mutiny.

The Three Steps to the Hidden Treasure: Successful Strategies for Bots that Win; a.k.a. the map that inspired a near mutiny.

While the details remain to be worked out and iterated over, we can't emphasize enough how important it is at this early stage: (i) to keep things simple, and (ii) to use only known methods or proven techniques; so as to minimize engineering costs and implementation risks.

Further improvements or enhancements can always be added on later, after first seeing how the MVP actually works in backtesting and/or on live data during paper trading. We envision the fifth generation MVP will be artificially intelligent with fully formed anthropomorphic interfaces, and a sight to behold.

Evolution of MVP: the Most Valuable Player. (Image Credit: Philippe Méda).

Evolution of MVP: the Most Valuable Player. (Image Credit: Philippe Méda).

Time for us now to get back to the lab. We've got ourselves an MVP to build!

 

Human vs. Bot: Rise of the Machines

Over the past twenty five years, machine learning had evolved from being a collection of rather primitive, yet clever, set of methods and heuristics to do classification, to a sophisticated science that is rich in theory and applications. In the foreign exchange market, for example, the market impact of computer-generated trading activities has been keenly observed. To better understand the situation, a simple metaphor based on the classic game of rock-paper-scissors illustrates how the same problem can be solved by two very different and contrasting approaches: high-speed technology solutions vs. empirical machine-learned solutions.

Seeing is Knowing: Rock-Paper-Scissors Robot&nbsp;("Type 1 Bot") at Ishikawa Watanabe Lab, University of Tokyo.

Seeing is Knowing: Rock-Paper-Scissors Robot ("Type 1 Bot") at Ishikawa Watanabe Lab, University of Tokyo.

In the first approach, a player does not try to over-think what the opponent might do next, but instead quickly respond to the situation using a high-speed information loop. One can think of the high-frequency-traders as penultimate masters of this first approach, where nobody wants to be last. In the second approach, a stylized “win-stay, lose-shift” phenomenon that is observed empirically among the players becomes the statistical basis for generating a series of sound strategies designed to win the game. One can think of the quantitative traders as skilled practitioners of this second approach.

We shall call systems that implement the first approach "Type 1 Bots", while systems that implement the second approach "Type 2 Bots". It is well understood that human players are easily defeated by "Type 1 Bots" because of the inherent speed disparity. However, it is somewhat puzzling how "Type 2 Bots" manage to defeat even the most intelligent of human players. It turns out that there is actually a trick to it: humans are all too predictable.

Human beings crave positive reinforcement and cringe from negative reinforcement. This important behavioral concept was understood by David Hagelbarger as early as 1953 and became the basis for Bell Labs very first Mind-Reading Machine. Claude Shannon, who was Hagelbarger’s contemporary at Bell Labs, took note and designed an improved version of the machine. Shannon’s Outguessing Machine, though simpler than Hagelbarger’s in that it uses only 16 bits of memory for storage, turned out to be a superior predictor. The machine predicted "random" human choices. But since no one chooses randomly, the machine always won the guessing game.

What’s perhaps most interesting is the fact that his machine displays an innocent-looking “scoring bar”, i.e., a row of up to fifty ball bearings, in a prominent place at the front. By subtly inducing in the human mind a default way to frame their choices around “what worked or what didn't work the last time”, the scoring bar "tricked" the human players into a more predictable pattern of play, which of course, is precisely anticipated by Shannon’s ingenious “mind-reading” algorithm.

Your guess is better than mine: Claude Shannon's 1953 Outguessing Machine ("Type 2 Bot") at the MIT museum. Notice the uncanny resemblance to a human face, where a tongue-mimicking red knob sticks out to mock human gullibility. (Image Credit: Willia…

Your guess is better than mine: Claude Shannon's 1953 Outguessing Machine ("Type 2 Bot") at the MIT museum. Notice the uncanny resemblance to a human face, where a tongue-mimicking red knob sticks out to mock human gullibility. (Image Credit: William Poundstone).

As Benjamin Graham famously noted, “In the short run, the market is a voting machine but in the long run, it is a weighing machine.”  So from this perspective, the “trading game” is really not that much different from a rock-paper-scissors game. Benjamin Graham's voting machine and weighing machine can both be viewed as Type 2 Bots that operate at different time horizons, but within the same market. In the short-run version of the trading game, advantage accrues to one who can quickly see what everyone else is doing before the majority catches on, or who can offer a better guess about what everyone else is about to do. In the long-run, it appears that speed is no longer material and fundamental knowledge is all that matters. One game, but two different types of game play depending on your time horizon. Very interesting, indeed. But what of the intermediate times in between? Are there newer types of game play waiting to be discovered?

Space Machine’s automated trading algorithms attempts to find the right optimization points along the equivalent of a science fictional “space-time continuum” so as to have a proper balance of speed and time given fixed geographic distances between trading venues. It is perhaps easier to visualize this concept by studying a special case that relates to the stock markets, where Alex Wissner-Gross and Cameron Freer had recently computed the optimal trading points (blue dots) for Type 1 Bots between different stock markets (red dots) as shown in following map:

The World is its Own Model: Optimal trading points (blue) between different markets (red). (Image Credit: Wissner-Gross and Freer).

The World is its Own Model: Optimal trading points (blue) between different markets (red). (Image Credit: Wissner-Gross and Freer).

Here is how we believe the whole thing should work. On rare occasions when we chance upon a momentary speed advantage in the market, we can simply look back at what just happened to briefly enjoy a near 99% probability of success (e.g., as in the case of the superfast rock-paper-scissors robot). But since we are “speed-challenged” compared to high-frequency traders with proprietary infrastructure, more often than not we have to look instead further ahead into the future to locate our trading niche in the market ecology to find an acceptable probability of success. Overall, we can expect to generate optimized trading performances by judiciously betting on the right mix of models and strategies for all the different market situations that our data analytics algorithms can identify. Don't think this will work? Tell us why. We like to find out sooner than later.

As a start-up trading firm with no particular advantage in high-frequency trading, Space Machine's view on HFT is this: if you can’t beat them, you don’t have to join them. Nor do you have to give up and concede. You can try a different approach instead. You have to believe there always is another novel trading niche that remains hidden deep within the lush canopy of a flourishing market ecology waiting to be discovered. Seek, and you will find. When you are no longer fixated on a singular point ablaze at the distant horizon (i.e., to be the absolute fastest), a whole new frontier of trading opportunities magically opens up before your very eyes. Benjamin Graham's wisdom rings true even today, but with an interesting twist: to best capture value from today's high-speed electronic trading venues now requires machine-learned guesses on not just one, but several, well-chosen points along the opportunity frontier of attainable trading performances.

A New Dawn: one singular point for the fastest "Type 1 Bot", but a whole new frontier for a multitude of "Type 2 Bots".

A New Dawn: one singular point for the fastest "Type 1 Bot", but a whole new frontier for a multitude of "Type 2 Bots".

Therefore, we are cautiously optimistic about using machine learning techniques to build "Type 2 Bots" for this manner of search and discovery, so we don’t have to constantly do battles with speed daemons that are "Type 1 Bots". We require a reasonably low-latency market access infrastructure for automated trading, but that does not have to come at the full cost of approximating the speed of light. In short, we are actively investigating alternate ways to intelligently participate in the current speed-obsessed market ecology, without getting trapped in a ruinous technological arm race in the quest for top speed.

References:

  1. Chaboud, Alain and Chiquoine, Ben and Hjalmarsson, Erik and Vega, Clara (2013, July 5). Rise of the Machines: Algorithmic Trading in the Foreign Exchange Market. Journal of Finance, Forthcoming; FRB International Finance Discussion Paper No. 980. Available at SSRN: http://ssrn.com/abstract=1501135 or http://dx.doi.org/10.2139/ssrn.1501135
  2. Superfast rock-paper-scissors robot wins every game it plays. (2013, November 5). Retrieved from http://www.designboom.com/technology/superfast-rock-paper-scissors-robot-wins-every-game-it-plays-11-05-2013/
  3. Johnston, Casey (2014, May 1). Scientists find a winning strategy for rock-paper-scissors. Ars Technica. Retrieved from http://arstechnica.com/science/2014/05/win-at-rock-paper-scissors-by-knowing-thy-opponent/
  4. Wang, Zhijian., Xu, Bin, and Zhou, Hai-Jun (2014). Social cycling and conditional responses in the Rock-Paper-Scissors game. arXiv preprint arXiv:1404.5199. Retrieved from http://arxiv.org/pdf/1404.5199v1.pdf
  5. Poundstone, William (2014, July 17). How I beat the mind-reading machine. Retrieved from http://wpoundstone.blogspot.com/2014/07/how-i-beat-mind-reading-machine.html
  6. McCabe, Thomas (2010, November 11). When the Speed of Light is Too Slow: Trading at the Edge. Kurzweil Accelerating Intelligence. Retrieved from http://www.kurzweilai.net/when-the-speed-of-light-is-too-slow
  7.  Wissner-Gross, Alex, and Freer, Cameron (2010). Relativistic Statistical Arbitrage. Physical Review E, 82(056104), 1-7. Retrieved from http://www.alexwg.org/publications/PhysRevE_82-056104.pdf

Minimum Viable Business Model

The first order of business when setting up a proprietary trading firm is to be able to describe its business model in a concise manner. We like the idea of sketching out a business model in one page and we have found the Business Model Canvas to be very useful for this purpose. So, what does the Business Model Canvas of a proprietary trading firm look like?

Before we can definitively answer that question, we need to have some idea about what it is that we are building. In other words, what is the equivalent of a "Minimum Viable Product" (MVP) for a proprietary trading firm, especially when there are no actual products or customers as commonly understood?

In this post, we shall explore the implications of these two important questions as they relate to our trading business:

  1. What does the Business Model Canvas of a proprietary trading firm look like?
  2. What is the equivalent of a Minimum Viable Product for a proprietary trading firm?

When Eric Ries first used the term "Minimum Viable Product", he described it as: "that version of a new product which allows a team to collect the maximum amount of validated learning about customers with the least effort." In the context of a web business, for example, MVP is a strategy and process directed toward making and selling a product to customers, i.e., a strategy built upon an iterative process of idea generation, prototyping, presentation, data collection, analysis and learning. In other words, one seeks to iterate quickly around the Build-Measure-Learn loop until an acceptable product/market fit is attained, or the product is deemed non-viable. Steve Blank used the alternative term of "minimum feature set" to refer to minimum viable product.

In thinking about what MVP means for a trading business, we came to the realization that: "a Minimum Viable Product for a trading business is the smallest thing one can build that delivers trading profits from day one". It is as simple as that. There are no prospects to convert and no sales funnel to optimize. Our view of MVP is thus closer in spirit to the stricter definition proposed by Ash Maurya. In our case, the global foreign exchange markets, in a very real sense, is the customer. The customer value that we are racing to deliver, in the abstract, is any which ways we can find that can make the global foreign exchange markets work more efficiently for which we can expect to capture a small premium for closing the inefficiency gap. In practice, of course, "any which ways" are defined by the constraints of our computing resources, the scope, resolution and timeliness of our data feeds, the forecast abilities of our models, and the algorithmic execution of our strategies.

Our initial design of a trading business model, which we call the Minimum Viable Business Model, can now be readily sketched on the Business Model Canvas as shown here:

Space Machine's Minimum Viable Business Model (v1.0). The Business Model Canvas template provided courtesy of:&nbsp;businessmodelgeneration.com.

Space Machine's Minimum Viable Business Model (v1.0). The Business Model Canvas template provided courtesy of: businessmodelgeneration.com.

It is clear from the minimum viable business model sketched in the above that a certain level of "strategy/market fit" is critical for overall success, or the trading business is deemed non-viable. In other words, the choice and design of an initial "minimum strategy set" is perhaps the single most important factor that determines overall success of any new proprietary trading business.

Our approach at Space Machine is to develop dynamic trading strategies that are "market friendly". That means we focus attention on deploying proven strategy types built upon just a few well-understood models; but combine them in a multitude of new and interesting ways to create the desired variations to better survive a rapidly evolving market. That's what we do in a nutshell, for now. We'll have more to say about this in a future post.

References:

  1. Osterwalder, Alexander, and Pigneur, Yves (2010). Business Model Generation: A Handbook for Visionaries, Game Changers, and Challengers (1st ed.). John Wiley and Sons.
  2. Ries, Eric (2011). The Lean Startup: How Today's Entrepreneurs Use Continuous Innovation to Create Radically Successful Businesses. Crown Business.