In the standard CAPM with a riskless asset we give a simple proof of existence of equilibria without assuming concavity of the investor's utility functions. Moreover, we give a uniqueness result using assumptions on the risk aversion of investors.

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...

Under the assumption of normally distributed returns, we analyzewhether the Cumulative Prospect Theory of Tversky and Kahneman (1992) is consistent with the Capital Asset Pricing Model. We find that in every financial market equilibrium the Security Market Line Theorem holds....

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...