At the core, information is only truly transmitted when the person receiving the intelligence enjoys a change in posterior thinking relative to prior beliefs. Within this transmission, there are two main categories: degenerate and non-degenerate.
Understandably, these terms carry a loaded meaning in the financial ecosystem. However, from a mathematical and decision-theoretic standpoint, the distinction comes down to information quality. Essentially, a degenerate decision rule is one that ignores state information and always produces the same action. In effect, degenerate rules are rules in the formal sense but they’re not informative.
By contrast, a non-degenerate rule requires structure, discrimination, calibration or predictive power. This standard implies measurable or objective uncertainty reduction — and as such excludes pure persuasion without truth linkage.
For example, if you were on the fence about buying fictional ABC Semiconductor stock and my analysis centered solely on analysts liking the name, this might convince you to go ahead and buy ABC. However, the decision to buy would be based on degenerate information transmission. Rather than a substantive analysis, you would have bought on a social proof signal, a coordination cure and/or a permission structure.
Nothing about analysts liking ABC reflected new state information about the company’s future cash flows, nor a probability distribution over outcomes nor a conditional framework which narrowed the range of likely scenarios. Such protocols would be examples of non-degenerate information transmission, where uncertainty is reduced through empirical or objective mechanisms under a conditional context.
For this article, we will look at three potentially discounted stocks to buy by examining their underlying first-order analytics. Next, we will layer a second-order analysis to identify potential zones of probability from the original list of possibilities.
Amazon (AMZN) isn’t off to a great start for the new year, with the security losing 9% of equity value. Nevertheless, this performance doesn’t seem to be dissuading the smart money, at least when looking at volatility skew, one of the many screeners available for Barchart Premier members. This tool represents one of the most important first-order analytics because it showcases implied volatility (IV) across the strike price spectrum of a particular options chain.
