We investigate entropy as a financial risk measure. Entropy explains the equity premium of securities and portfolios in a simpler way and, at the same time, with higher explanatory power than the beta parameter of the capital asset pricing model. For asset pricing we define the continuous entropy as an alternative measure of risk. Our results show that entropy decreases in the function of the n...

Arrow-Debreu Existence Result Let K be a normed vector lattice with positive cone K+ (see Schaefer (1974)). We consider an Arrow-Debreu (pure exchange) economy 9'= (?, e') in K, with m agents described by preference relations > i on K+ and initial endowments e' E K+. Throughout, we make the usual assumptions on preferences: each >i is reflexive, transitive, complete, convex, continuous, and str...

We develop a two sector general equilibrium model with capital accumulation and convex adjustment costs. We use the model to study capital asset pricing and reallocation, as well as optimal consumption and investment decisions. With two sectors, the consumer balances diversification against the potential productivity and efficiency gains of investing more heavily in one sector. The general fram...

We develop a two sector general equilibrium model with capital accumulation and convex adjustment costs. We use the model to study capital asset pricing and reallocation, as well as optimal consumption and investment decisions. With two sectors, the consumer balances diversification against the potential productivity and efficiency gains of investing more heavily in one sector. The general fram...

A famous model in nancial theory is the Capital Asset Pricing Model (CAPM). In this paper we propose a two state CAPM in which we assume that excess returns for the market and for a particular security are bivariate normally distributed. The parameters of the distribution are determined by the state of an unobserved stationary Markov chain. Two states represent two business regimes that are cha...

Using Shafer and Vovk’s game-theoretic framework for probability, we derive a capital asset pricing model from an efficient market hypothesis, with no assumptions about the beliefs or preferences of investors. Our efficient market hypothesis says that a speculator with limited means cannot beat a particular index by a substantial factor. The model we derive says that the difference between the ...

In this paper, we discuss the paradigm shift in bank capital from the “gone concern” to the “going concern” mindset. We then propose a methodology for pricing a product of this shift called Contingent Capital Notes (“CoCos”). The Merton Model can determine a price for credit risk by using the firm’s equity value as a call option on those assets. Our pricing methodology for CoCos also uses the c...

This paper examines the possibility of developing a risk management instrument by designing a financial security whose value is linked to the average revenue of a given area. This type of program is sufficiently general to be considered for any group of businesses that face production uncertainty. In agriculture, it has been proposed as an alternative to multiple peril crop insurance programs, ...

Spatial dependency has been broadly studied in several research areas, such as environmental criminology, economic geography, environmental sciences, and urban economics. However, it has been essentially overlooked in other subfields of economics and in the field of finance as a whole. A key element at stake is the definition of contiguity. In the context of financial markets, defining a metric...