Integration of renewable generation can lead to both diversification of energy sources (which can improve the overall economic performance of the power sector) and cost increase due to the need for further resources to provide flexibility and thus secure operation from unpredictable, variable...

What does it mean for an agent faced with choice under uncertainty to “know” something? While a variety of mathematical methods are available to construct formal models to answer this question, the combination of different approaches may lead to unsettling paradoxes. I propose a unified...

We propose a simple non-equilibrium model of a financial market as an open system with a possible exchange of money with an outside world and market frictions (trade impacts) incorporated into asset price dynamics via a feedback mechanism. Using a linear market impact model, this produces a...

A five cent $0.05 investment in Bitcoin on July 17, 2010, the first date in which there appears to have been a published value had grown to $7,383.39 on July 18, 2018. While Bitcoin as a currency has existed for less than a decade ̶ it had a very limited liquidity and usage during the first few...

We introduce a novel geometry-based method of modelling information that encompasses entropy-based approaches. A key contribution is that we explicitly construct the optimal path to acquire information. The economic driver of this geometry-based framework is knowledge state dependent marginal...

We consider a market economy where two rational agents are able to learn the distribution of future events. In this context, we study whether moving away from the standard Bayesian belief updating, in the sense of under-reaction to some degree to new information, may be strategically convenient...

IC (Information Coefficient) is a widely and deeply accepted measure in active portfolio management.This paper investigates its probability properties that requires basic and in-depth research. First, this paper brings a new perspective on IC: a linear operator of a random unit vector generated...

We consider an exchange economy with heterogeneous agents and multiple assets and investigate the coupled dynamics of assets' prices and agents' wealth. We assume that agents have heterogeneous beliefs and invest on each asset a fraction of wealth proportional to its expected dividends. Our main...

The risk of financial positions is measured by the minimum amount of capital to raise and invest in eligible portfolios of traded assets in order to meet a prescribed acceptability constraint. We investigate nondegeneracy, finiteness and continuity properties of these risk measures with respect...

We analyze the American option valuation problem with the forward performance criterion introduced by Musiela and Zariphopoulou (2008). In this framework, utility evolves forward in time without reference to a specific future time horizon. Moreover, risk preferences change with stochastic market...