The fuzzy transform (F-transform), introduced by I. Perfilieva, is a powerful tool for the construction of fuzzy approximation models; it is based on generalized fuzzy partitions and it is obtained by minimizing a quadratic (L₂-norm) functional. In this paper we describe an analogous...

This paper studies over-the-counter (OTC) trading in the unsecured interbank market for euro funds. The goal of our analysis is to identify the determinants of the probability of trading, the bilateral rate and the quantity exchanged during the European sovereign debt crisis. We show how the...

This paper explores the dynamic linkages that portray different facets of the joint probability distribution of stock market returns in NAFTA (i.e., Canada, Mexico, and the US). Our examination of interactions of the NAFTA stock markets considers three issues. First, we examine the long-run...

There are three crucial mathematical system concepts in Finance, which are either being confused or misapplied - uncertainty, complexity and rank. First, the concept of epistemic uncertainty is sufficient for modeling and the concept of probability is unnecessary. This is illustrated by...

This paper studies and connects market organization and activity in the US collateralized interbank market using an assumption-neutral approach. We apply cluster analysis to aggregate activity factors suggested by prior studies to support two market organizations: three-tier and core-periphery....

We develop an empirically-based simulation study to test policies designed to control systemic risk. We consider preventive policies targeting capital requirements and mitigation policies targeting default resolution. We find that capital buffers reduce both defaults and losses. The loss...

Over the last few years, quantitative investing and trading systems have become increasingly popular as investors, disappointed by the performance of active investment managers, have looked for alternatives. However, the authors suggest that caution is in order as most quantitative systems are...

In finance, decision making and choice requires that we assume that asset prices tend to trend. This assumption also logically enables us to construct exits to limit losses and protect capital. But investors have good reason to be uneasy regarding the potential for significant loss when using a...

The recent analytical closed-form result ('http://ssrn.com/abstract=2549033' http://ssrn.com/abstract=2549033) discovered by Market Memory Trading L.L.C. (“MMT”) for the probability density function of the European style options with stochastic volatility, considered within the Heston model,...