Default Invariance: Naïve Category of Law and Finance

Default invariance is the idea that default does not change at any scale of law and finance. Default is a conserved quantity in a universe where fundamental principles of law and finance operate. It exists at the micro-level as part of the fundamental structure of every financial transaction, and at the macro- level, as a fixed critical point within the relatively stable phases of the law and finance cycle. A key point is that default is equivalent to maximizing uncertainty at the micro-level and at the macro-level, is equivalent to the phase transition where unbearable fluctuations occur in all forms of risk transformation, including maturity, liquidity and credit. As such, default invariance is the glue that links the micro and macro structures of law and finance. In this essay, we apply naïve category theory (NCT), a type of mapping logic, to these types of phenomena. The purpose of using NCT is to introduce a rigorous (but simple) mathematical methodology to law and finance discourse and to show that these types of structural considerations are of prime practical importance and significance to law and finance practitioners. These mappings imply a number of novel areas of investigation. From the micro- structure, three macro-approximations are implied. These approximations form the core analytical framework which we will use to examine the phenomena and hypothesize rules governing law and finance. Our observations from these approximations are grouped into five findings. While the entirety of the five findings can be encapsulated by the three approximations, since the intended audience of this paper is the non-specialist in law, finance and category theory, for ease of access we will illustrate the use of the mappings with relatively common concepts drawn from law and finance, focusing especially on financial contracts, derivatives, Shadow Banking, credit rating agencies and credit crises.

The principle of legal certainty as a principle of economic efficiency

Legal certainty, a feature of the rule of law, constitutes a requirement for the operational necessities of market interactions. But, the compatibility of the principle of legal certainty with ideals such as liberalism and free market economy must not lead to the hastened conclusion that therefore the principle of legal certainty would be compatible and tantamount to the principle of economic efficiency. We intend to analyse the efficiency rationale of an important general principle of EU law—the principle of legal certainty. In this paper, we shall assert that not only does the EU legal certainty principle encapsulate an efficiency rationale, but most importantly, it has been interpreted by the ECJ as such. The economic perspective of the principle of legal certainty in the European context has, so far, never been adopted. Hence, we intend to fill in this gap and propose the representation of the principle of legal certainty as a principle of economic efficiency. After having deciphered the principle of legal certainty from a law and economics perspective (1), we shall delve into the jurisprudence of the ECJ so that the judicial reasoning of the Court as this reasoning proves the relevance of the proposed representation (2). Finally, we conclude in light of the findings of this paper (3).