A closed-form solution for options with ambiguity about stochastic volatility

We derive a closed-form solution for the price of a European call option in the presence of ambiguity about the stochastic process that determines the variance of the underlying asset’s return. The option pricing formula of Heston (Rev Financ Stud 6(2):327–343, 1993) is a particular case of ours, corresponding to the case in which there is no ambiguity (uncertainty is exclusively risk). In the presence of ambiguity, the variance uncertainty price becomes either a convex or a concave function of the instantaneous variance, depending on whether the variance ambiguity price is negative or positive. We find that if the variance ambiguity price is positive, the option price is decreasing in the level of ambiguity (across all moneyness levels). The opposite happens if the variance ambiguity price is negative. This option pricing model can be used to address various empirical research topics in the future.     

Evaluating spatial and temporal variation in agricultural output elasticities in Turkey

This study evaluates spatial variation in the relationship between agricultural output and input use across Turkey. The potential impact of the national agricultural policy reform introduced in 2001 on the spatial variation in agricultural output elasticities across the country was explored. By applying a spatial production function to the province‐level data in 2000 and 2007, spatial heterogeneity in the variance of provincial total factor productivity and the input factor‐output elasticities was identified across the country. Results show that the disparities in agricultural activities and geographic conditions affected return from input factors. Empirical findings from a spatial spillover model also suggest that changes in the input factor‐output elasticities varied significantly across Turkey between 2000 and 2007, after the policy reform. Results suggest that future policy reform that recognizes regional comparative advantage through understanding the geographic heterogeneity of the agricultural sector is important for enhancing Turkey's agricultural output.     

Does price dispersion increase with quality? Evidence from the online diamond market

This article empirically investigates the relationship between price dispersion and price level. Searches seem more valuable for products of high quality, but buyers may have little incentive to search since such products are less frequently purchased. The extent of price dispersion is examined using a sample of around 160 000 diamonds offered for sale online. Estimates from a two-stage econometric strategy show that price dispersion increases significantly with quality. An explanation is that buyers of high-quality gemstones pay little attention to the price of these diamonds and even more so if they perceive high prices as signals of quality and rarity of the diamonds they intend to purchase.     

Essential data, budget sets and rationalization

According to a minimalist version of Afriat’s theorem, a consumer behaves as a utility maximizer if and only if a feasibility matrix associated with his choices is cyclically consistent. An “essential experiment” consists of observed consumption bundles $(x_{1}, \ldots , x_{n})$ and a feasibility matrix $\varvec{\alpha }$ . Starting with a standard experiment, in which the economist has access to precise budget sets, we show that the necessary and sufficient condition for the existence of a utility function rationalizing the experiment, namely, the cyclical consistency of the associated feasibility matrix, is equivalent to the existence, for any budget sets compatible with the deduced essential experiment, of a utility function rationalizing them (and typically depending on them). In other words, the conclusion of the standard rationalizability test, in which the economist takes budget sets for granted, does not depend on the full specification of the underlying budget sets but only on the essential data that these budget sets generate. Starting with an essential experiment $(x_{1}, \ldots , x_{n}; \varvec{\alpha }$ ) only, we show that the cyclical consistency of $\varvec{\alpha }$ , together with a further consistency condition involving both $(x_{1}, \ldots , x_{n})$ and $\varvec{\alpha }$ , guarantees the existence of a budget representation and that the essential experiment is rationalizable almost robustly, in the sense that there exists a single utility function which rationalizes at once almost all budget sets which are compatible with $(x_{1}, \ldots , x_{n}; \varvec{\alpha }$ ). The conditions are also trivially necessary.     

Legitimacy-Seeking Organizational Strategies in Controversial Industries: A Case Study Analysis and a Bidimensional Model

Controversial industry sectors, such as alcohol, gambling, and tobacco, though long-established, suffer organizational legitimacy problems. The authors consider various strategies used to seek organizational legitimacy in the U.K. casino gambling market. The findings are based on a detailed, multistakeholder case study pertaining to a failed bid for a regional supercasino. They suggest four generic strategies for seeking organizational legitimacy in this highly complex context: construing, earning, bargaining, and capturing, as well as pathways that combine these strategies. The case analysis and proposed bidimensional model of generic legitimacy-seeking strategies contribute to limited literature on organizational legitimacy in controversial industry sectors. In addition, beyond organizations active in controversial contexts, this study and its implications are useful for individuals and organizations supporting or opposing the organizational legitimacy of organizations in controversial industries.     

Limits to agri-environmental schemes uptake to mitigate human–wildlife conflict: lessons learned from Flamingos in the Camargue,southern France

Agri-environment schemes (AES) favouring the maintenance of hedges were implemented in the Camargue (southern France) as it has previously been proven to reduce the risk of damage caused by Greater Flamingo incursions into rice fields. Given the persistent incursions, we estimated the economic cost of damage from 2007 to 2009, the uptake rate of hedge-related AES and explored the limits of these schemes as a mitigation effort. Semi-structured and key informant interviews, site mapping and field visits were made to verify claims and estimate damage. Number of plants/m² and fertile stems/plant were estimated on 1,498 and 312 grids, respectively, spread over 26 rice fields. Damaged areas of rice fields forayed by flamingos presented from 1.35 to 3.06 t/ha lower yield than undamaged areas. We estimated 228€/ha average loss in forayed fields for a total of 400,000€ in yield loss in 2008. Administrative constraints limited AES and free seedlings distribution, preventing the problem from being addressed at an appropriate scale. The trivial financial support for hedge management relative to more lucrative AES with lower constraints resulted in low uptake rate. We propose that modifications of AES take into account landscape factors over administrative boundaries and that the financial support for AES be scaled up relative to other subsidies in order to address the efforts necessary to achieve landscape changes to reduce human–wildlife conflict.     

Does Agricultural Productivity Actually Matter for Food Security in a Landlocked Sub‐Saharan African Country? The Case of Burkina Faso

This paper makes use of a Computable General Equilibrium model to analyze the impact of two agricultural productivity trends on poor households’ food security in Burkina Faso: a negative trend that could arise from many different factors, including land degradation, climate change, and harmful agricultural practices; and a positive trend which may result from enhanced public investment in agriculture, notably in research and development, extension, irrigation, rural roads, rural electrification, and rural education. The results point to a high sensitivity of the poor's consumption to agricultural productivity as well as to stronger impacts on the urban poor than on the rural poor. The current situation is already characterized by severe food insecurity, such that a decline in agricultural productivity is likely to further plunge the urban poor into a deep food crisis. By contrast, positive agricultural productivity trends may help alleviate poverty and food insecurity. Agricultural productivity may indeed affect the poor's food consumption mainly through large changes in agricultural prices and real incomes. Cet article utilise un modèle d’Équilibre Général Calculable pour analyser l'impact des différentes tendances de la productivité agricole sur la sécurité alimentaire des ménages pauvres au Burkina Faso. D'une part, les tendances négatives peuvent résulter de plusieurs facteurs, y compris la dégradation des terres, le changement climatique, et les pratiques agricoles nuisibles. D'autre part, la tendance positive peut résulter de l'investissement public accru dans l'agriculture, notamment dans la recherche et développement, la vulgarisation, l'irrigation, les routes rurales, l′électrification rurale et l′éducation rurale. Les résultats montrent une sensibilité élevée de la consommation des pauvres à la productivité agricole, ainsi que des impacts plus forts sur les populations urbaines pauvres. La situation actuelle est déjà caractérisée par une insécurité alimentaire grave de sorte qu'une baisse de la productivité agricole est susceptible de plonger davantage les pauvres en milieu urbain dans une crise alimentaire profonde. En revanche, la tendance positive sur la productivité agricole peut contribuer à atténuer la pauvreté et l'insécurité alimentaire. La productivité agricole peut en effet affecter la consommation alimentaire des pauvres principalement par le biais de grandes variations des prix agricoles et des revenus réels.     

Price impact and bursts in liquidity provision

This paper analyses brief episodes of high-intensity quote turnover and revision—‘bursts’ in quotes—in the US equity market. Such events occur very frequently, several hundred times a day for actively traded stocks. We find significant price impact associated with these market maker initiated events, about five times higher than during non-burst periods. Bursts in quotes are concurrent with short-lived structural breaks in the informational relationship between market makers and market takers. During bursts, market makers no longer passively impound information from order flow into quotes—a departure from the traditional market microstructure paradigm. Rather, market makers significantly impact prices during bursts in quotes. Further analysis shows that there is asymmetry in adverse selection between the bid and ask sides of the limit order book and only a sub-population of market makers enjoys an informational advantage during bursts. Market makers on the side opposite the burst suffer elevated adverse selection costs, while market makers on the side of the burst realize positive spread, irrespective of the order flow direction. Our results call attention to the need for a new microstructure perspective in understanding modern high-frequency limit order book markets and the quote manipulation strategies at the disposal of the fast market makers.     

A study of proportionality and robustness in economies with a commonly owned technology

Abstract. Studying one-input one-output economies, we say that an allocation is proportional if the input-output ratio is identical among agents and if each agent maximizes her welfare given this ratio. We propose three equity axioms based on this definition, and we use them to compare the main solutions to this simple equity problem. We also combine efficiency, robustness axioms and our proportionality axioms to characterize two solutions. Received: 11 June 1997 / Accepted: 26 May 2000