Wednesday, October 8, 2025

How to Use Descriptive Math to Play the Hand, Not the Dealer

Suppose that you’re the manager of an MLB team and it’s the bottom of the ninth of the World Series. You’re down to your last out. Do you go with the player who has a great career batting average but can’t perform well under pressure or elect the guy who had a relatively average season but consistently comes through in the clutch?

If you’re into baseball or just sports in general, the answer is obvious: you go with the competitor that contextually gives you the best chance to win. Ultimately, your job is to take home championships, not dabble with math exercises.

However, what seems so obvious isn’t that way in the financial sector. Practically every western approach — from Black-Scholes-Merton-based models to the efficient market hypothesis — utilizes prescriptive financial modeling. Essentially, these methodologies dictate what should be, which theoretically sounds enticing. However, my contention is that this prescription is flawed.

In contrast, I prefer a Markovian approach, which models behavior based on a descriptive framework. Such methodologies demonstrate what has been, not what should be. As such, we don’t need complicated formulas rooted in stochastic calculus and other difficult concepts.

A key reason why I’m not a fan of prescriptive models like Black-Scholes (aside from its inapplicability with American options) is that the underlying probabilities are based on the entire distribution of the dataset. That’s like trying to predict hurricanes based on the last ten years’ worth of weather reports. Instead, to accomplish this, you would focus on the immediate conditions that cause hurricanes to be more likely.

With that said, below are three stocks that are potentially flashing buy signals based on a descriptive framework.

Quantitatively, Kroger (KR) makes for an intriguing idea for bullish speculators. In the past 10 weeks, the market has essentially voted to buy KR stock four times and sell six times. Throughout this period, KR enjoyed an upward bias. For brevity, we can abbreviate the sequence as 4-6-U.

At first glance, it may seem silly to compress the price magnitude of KR stock into a simple binary code. But what we have accomplished here is to define KR’s price discovery process as a behavioral state. Through the study of past analogs, we can determine how the market responds to the 4-6-U sequence relative to the baseline.

Source link

Latest Topics

Related Articles

spot_img