Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...

We address the fundamental issues of existence and efficiency of an equilibrium in a Ramsey model with many agents, where agents have heterogeneous discounting, elastic labor supply and face borrowing constraints.The existence of rational bubbles is also tackled. In the first part, we prove the...

This paper establishes existence and uniqueness of equilibria in a capital asset pricing model (CAPM) with non-tradeable endowments. The result is obtained by generalising the classical two-fund separation for asset-demand functions to reduce a multi-variate fixed-point problem to a uni-variate...

We consider a full equilibrium model in continuous time comprising a finite number of agents and tradable securities.We show that, if the agents' endowments are spanned by the securities and if the agents have entropic utilities, an equilibrium exists and the agents' optimal trading strategies...

We study the co-evolution of asset prices and individual wealth in a financial market populated by an arbitrary number of heterogeneous, boundedly rational agents. Using wealth dynamics as a selection device we are able to characterize the long run market outcomes, i.e. asset returns and wealth...

A new acceptable price approach to stochastic endpoint determination at given horizon accounting for the marginal investor beliefs and behaviour was proposed. Two-sided filtration with FBSDE defined stochastic dynamics was formulated for acceptable asset price under the risk-neutral probability...

We provide the first systematic asset pricing analysis of one of the main safe asset categories, the repurchase agreement (repo). A standard, no-arbitrage model with a market and a carry factor prices these near-money assets. While the market factor determines the short-term interest rate level,...

“Safe assets” is a catch-all term for financial contracts that market participants treat as if they were risk-free. These may include government debt, AAA corporate debt, bank debt, and asset-backed securities, among others. The International Monetary Fund estimated potential safe assets at...

This paper demonstrates how both quantitative and qualitative results of general, analytically tractable asset-pricing model in which heterogeneous agents behave consistently with a constant relative risk aversion assumption can be applied to the particular case of "linear" investment choices....

I study the effect of heterogeneous beliefs about asset prices on the long-term behavior of financial markets. Starting from the ideas of Abreu and Brunnermeier (2003), a two-dimensional system of differential equations is developed. The first dynamic variable is the asset price growth rate. The...