For utility maximization problems under proportional transaction costs, it has been observed that the original market with transaction costs can sometimes be replaced by a frictionless shadow market that yields the same optimal strategy and utility. However, the question of whether or not this indeed holds in generality has remained elusive so far. In this paper we present a counterexample whic...

This paper presents an oil price cartel model. The aggregate reaction functions for non-cartel producers and for substitute suppliers are included. The former group acts as a price-taker, while the latter expects oil prices in production of its non-oil energy resources. This expectation about prices affects a cartel’s oil demand and, thus, gives intertemporal price elasticities It turns out tha...

In a financial market where traders are risk averse and short lived, and prices are noisy, asset prices today depend on the average expectation today of tomorrow’s price. Thus (iterating this relationship) the date 1 price equals the date 1 average expectation of the date 2 average expectation of the date 3 price. This will not in general equal the date 1 average expectation of the date 3 price...

In a financial market with a continuous price process and proportional transaction costs we investigate the problem of utility maximization of terminal wealth. We give sufficient conditions for the existence of a shadow price process, i.e. a least favorable frictionless market leading to the same optimal strategy and utility as in the original market under transaction costs. The crucial ingredi...

We consider a non-consuming agent interested in the maximization of the long-run growth rate of a wealth process investing either in a money market and in one risky asset following a geometric Brownian motion or in futures following an arithmetic Brownian motion. The agent faces proportional transaction costs, and similarly as in [17] where the case of stock trading is considered, we show how t...

We propose an unsupervised bootstrapping method to generate a new type of affect knowledge base: the sentiment expectation of nouns (e.g., “high salary” is desirable while “high price” is usually undesirable, because people have opposite sentiment expectation towards “salary” and “price”). A bootstrapping framework is designed to retrieve patterns that might be used to express complaints from t...