The prospect theory is one of the most popular decision-making theories. It is based on the S-shaped utility function, unlike the von Neumann and Morgenstern (NM) theory, which is based on the concave utility function. The S-shape brings in mathematical challenges: simple extensions and...

This paper examines the interplay between the real and financial decisions of the competitive firm under output price uncertainty. The firm faces additional sources of uncertainty that are aggregated into a background risk. We show that the firm always chooses its optimal debt-equity ratio to...

We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We apply a general view of constant relative risk aversion to investigate on different equivalence relations. Then we compare our results with standard applications in economics and finance.

Die vorliegende Arbeit untersucht ein Duopol bei unsicherer Nachfrage unter Risikoaversion. Die Produktion der gesamten Industrie fällt durch die Einführung von Nachfrageunsicherheit; der Marktpreis steigt wegen des schwächeren Wettbewerbs. Damit ist die Veränderung des Gewinns und des...

The value at risk measure attempts to summarize in a single number market value risk of a portfolio of financial assets.The paper focuses on the interaction between the solvency probability of a bank, on one hand, and the diversification potential of its portfolio, on the other hand, when...

This paper examines the interplay between the real and financial decisions of the competitive firm under output price uncertainty. The firm faces additional sources of uncertainty that are aggregated into a background risk. We show that the firm always chooses its optimal debt-equity ratio to...

The prospect theory is one of the most popular decision-making theories. It is based on the S-shaped utility function, unlike the von Neumann and Morgenstern (NM) theory, which is based on the concave utility function. The S-shape brings in mathematical challenges: simple extensions and...

Our study examines the behavior of a risk-averse investor who faces two sources of uncertainty: a random asset price and inflation risk. Both sources of uncertainty make it difficult to stabilize consumption over time. However, investors can enter risk-sharing markets, such as futures markets,...