Interconnectedness is an inherent feature of the modern financial system. While it contributes to efficiency of financial services, it also creates structural vulnerabilities: pernicious shock transmission and amplification impacting banks' capitalization. This has recently been seen during the...

We build an agent-based dynamical system for the global economy to investigate and analyze financial crises. The agents are large aggregates of a subeconomy, and the global economy is a collection of subeconomies. We use well-known theories of dynamical systems to represent a financial crisis as...

This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...

This paper offers a model for financial market crashes without the two basic hypotheses - the assets are perfectly divisible, and their trading takes place continuously in time. We show that financial market crashes stem endogenously from an inherent characteristic of financial markets rather...

We study financial networks and reveal a new kind of systemic risk arising from what we call default ambiguity, i.e., a situation where it is impossible to decide which banks are in default. Specifically, we study the clearing problem: given a network of banks interconnected by financial...

Abstract: This paper offers a unified theory, which maps financial markets into a two dimension Banach space by quantizing the price fluctuation and trading volume of financial assets. In this space, we develop a new portfolio theory and capital asset pricing model. Then, we analyze normal and...

Using a range of stochastic volatility models well-known in the nance literature, we study the existence of money market bubbles in the US economy. Money market bubbles preclude the existence of a risk-neutral pricing measure. Understanding whether markets exhibit money market bubbles is crucial...