Foreign equity option pricing under stochastic volatility model with double jumps

This paper considers the challenging problem advocated by Huang and Hung (2005), that is to incorporate the stochastic volatility into the foreign equity option pricing. Foreign equity options (quanto options) are contingent claims where the payoff is determined by an equity in one currency but the actual payoff is done in another currency. Huang and Hung (2005) priced foreign equity options under the Lévy processes. In Huang and Hung's paper, they considered jumps in the foreign asset prices and exchange rates and assumed the volatility as constant. However, many studies showed that constant volatility and jumps in returns are incapable of fully capturing the empirical features of equity returns or option prices. In this paper, the stochastic volatility with simultaneous jumps in prices and volatility is proposed to model foreign asset prices and exchange rates. The foreign equity option pricing formula is given by using the Fourier inverse transformation. The numerical results show that the use of stochastic volatility with simultaneous jumps in prices and volatility proposed to model foreign asset prices and exchange rates is necessary and this approach can help us to capture more accurately the foreign equity option prices.     

Pigouvian pricing and stochastic evolutionary implementation

We study the implementation of efficient behavior in settings with externalities. A planner would like to ensure that a group of agents make socially optimal choices, but he only has limited information about the agents’ preferences, and can only distinguish individual agents through the actions they choose. We describe the agents’ behavior using a stochastic evolutionary model, assuming that their choice probabilities are given by the logit choice rule. We prove that there is a simple price scheme with the following property: regardless of the realization of preferences, a group of agents subjected to the price scheme will spend the vast majority of time in the long run behaving efficiently. The price scheme defines a game that may possess multiple equilibria, but we are able to obtain a unique and efficient selection from this set because of the stochastic nature of the agents’ choice rule. We conclude by comparing the performance of our price scheme with that of VCG mechanisms.     

Peak-load pricing and reliability under uncertainty

This paper develops the welfare foundations of peak-load pricing under uncertainty, building on Brown and Johnson (1969), Crew and Kleindorfer (1976), and Chao (1983). The context is that of a welfare-maximizing public enterprise facing uncertain and nondeferrable demand, and uncertain supply. The paper first describes various elements of outage cost, including rationing costs, disruption costs, and surplus losses due to unsatisfied demand. Exact welfare-optimal results are then derived, in contrast to the earlier approximations by Turvey and Anderson (1977) and Chao (1983). The results are generalized to take account of diverse technologies and multiple planning periods, and their implications for utility pricing and investment in an integrated resource planning context are discussed.     

Access charges under two-tier pricing

This article analyzes the regulation of access charges in a liberalized postal market where operators use two-tier pricing. It develops a model of vertical product differentiation that allows determination of the demand for First and Second Class mail from an incumbent postal operator and a group of entrants. The optimal access charges for First and Second Class letters are determined as well as the optimal quality for these services.      

Option pricing with stochastic volatility following a finite Markov Chain

This paper modifies the finite mixture option pricing model of Ritchey (1990) by replacing his non-combining binomial probability tree with a finite Markov Chain. As a result, the number of components of the mixture will remain fixed rather than explosive for multiperiod option pricing. Moreover, the risk-neutral valuation is better justified because the finite volatility space allows establishing riskless hedge as long as there exist a sufficient number of traded options.     

Smiling under stochastic volatility

This paper studies the behavior of the implied volatility function (smile) when the true distribution of the underlying asset is consistent with the stochastic volatility model proposed by Heston (1993). The main result of the paper is to extend previous results applicable to the smile as a whole to alternative degrees of moneyness. The conditions under which the implied volatility function changes whenever there is a change in the parameters associated with Hestons stochastic volatility model for a given degree of moneyness are given.JEL Classification: G12, G13Mathematical assistance provided by José Alcalde (Universidad de Alicante) is much appreciated, and we have also benefited from discussions with Eva Ferreira (Universidad del País Vasco) and Javier Fernández Navas (Instituto de Empresa). We also thank José M. Campa (IESE) and two anonymous referees, whose suggestions have helped us improve this paper substantially. Gonzalo Rubio and Ángel León acknowledge the financial support provided by Ministerio de Ciencia y Tecnología grants BEC2001-0636 and BEC2002-03797 respectively. Ángel León also acknowledges Generalitat Valenciana grant CTIDIA/2002/103. The contents of this paper are the sole responsibility of the authors.     

Strategic pricing and entry deterrence under price-cap regulation

This paper shows that dynamic price-cap regulation allows the regulated firm to deter entry. Under dynamic price-cap regulation, the allowed prices in each period are an increasing function of the prices set in the previous period. By setting a low price before entry, the regulated firm can commit itself to charge a low price in the event of entry. If this price is sufficiently low with respect to the potential entrant's fixed cost, entry does not occur. Whether the regulated firm prefers to deter or accommodate entry depends on the level of the entry cost for the prospective entrant, on the tightness of the price-cap and on the degree of market power of the competing firms in case of entry.     

Labor supply with stochastic wage rate and non-labor income uncertainty

This paper deals with the labor supply problem in the contemporaneous presence of wage rate and non-labor income uncertainties. We examine the effect of a stochastic wage rate(a non-labor income uncertainty) on labor supply in the presence of a non-labor income uncertainty(a stochastic wage rate) and provide some conditions of utility function for assuring larger labor supply. We study the joint effect of two types of uncertainty on labor supply when two risks are either small or positive quadrant dependent. Our work extends the previous model of labor supply to two-risk framework and shows some new explorations on the classical issue of labor supply under uncertainty.     

Long-run supply responses under self-management

The determination of optimal production is analyzed in a competitive self-managed firm when all inputs are treated as variable. It is shown that the relationship between output and product price depends on a parameter of production technology that relates returns to scale to optimal factor proportions. On this basis, the enterprise planning problem can be reformulated to provide simple analytic results that can be illustrated diagrammatically and could be tested empirically. The approach highlights the sensitivity of results to technical assumptions.     

Determining demand, supply, and pricing for emerging markets based on disruptive process technologies

A model for forecasting the likely market size and demand for an early-stage emerging process technology is considered. This method takes into account markets, supply, demand, supply/demand gap, pricing, implications to government policy, corporate strategy, and value of intellectual property. For the purpose of illustration, forecasting of microsystems is considered.     

A proposal for social pricing of water supply in Côte d'Ivoire

We consider the design of a nonlinear social tariff for residential water in Côte d'Ivoire, which is a case of a monopolistic private operator supplying a population of heterogeneous consumers. The proposed optimal tariff includes an initial “social” block with a low unit price, and higher consumption blocks with a monopoly pricing rule. This optimal nonlinear tariff is calibrated using econometric estimates of a panel-data residential water demand equation. Welfare changes associated with moving from the actual tariff to approximations of the optimal pricing system are computed under different tariff scenarios. We find that gains in consumer welfare would outweigh losses in producer surplus in a majority of Ivorian local communities.     

不同控股比例下的国际转移定价模型

转移价格在跨国企业的国际经营活动中起着重要的作用。本文从企业税负驱动机制的微观层面上,扩展国际转移定价的理论模型,深入分析在不同控股比例和红利分配率情况下转移价格的理性选择;并且运用模拟方法,揭示不同变量条件下的最优转移价格策略。     

A note on dynamic monopoly pricing under consumption externalities

We analyze dynamic monopoly pricing under consumption externalities, focusing on pricing under negative externalities. We also attempt to generalize models in the previous literature, which encompass both negative and positive externalities, by incorporating a consumer’s discount factor for past sales as a parameter. Analyzing our model reveals oscillation as the optimal price path in the presence of negative externalities.     

Input demand and substitution under target-return pricing the case of Austrian manufacturing

Zusammenfassung Das neoklassische Standardmodell der Produktion postuliert den kostenminimierenden, effizienten Einsatz von Inputs bei vorgegebener Nachfrage und bei Konkurrenzpreisen. Zahlreiche empirische Studien übertragen dieses Modell auf reale Märkte und schätzen Elastizitäten der Nachfrage und der Substitution auf dieser Basis. Die vorliegende Studie vergleicht dieses Konkurrenzmodell mit einem alternativen Ansatz, wonach sich die Preisbildung auf unvollkommenen Outputmärkten nach dem Prinzip des target-return pricing vollzieht. Es wird gezeigt, daß die geschätzten Elastizitäten sensitiv auf die Wahl des Modells reagieren. Die Substitutionsmöglichkeiten sind nach den Ergebnissen beschränkt, was auf die limitierte Effizienz einer preisinduzierten Inputnachfrage im Sinne des neoklassischen Ansatzes hinzuweisen scheint. Die Schätzung der Modelle wird anhand österreichischer Industriedaten 1964–1979 im Aggregat wie in sektoraler Klassifikation durchgeführt.

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The research program was supported by the Austrian Fund for Scientific Research. The authors wish to thank Prof. Winckler and anonymous referees for helpful comments.     

Welfare-optimal pricing and capacity selection under an ex ante maximum demand charge

This paper deals with the simultaneous determination of welfare-optimal pricing and investment rules under a multi-period ex ante maximum demand charge by allowing the possibility of purchasing electricity from third party generators at some cost when excess demand occurs. I show that at the optimal size of capacity, expected short-run marginal shortage cost and long-run marginal capacity cost should be equal. The optimal maximum demand tariff does not entail marginal cost pricing. In general, it is shown that maximum demand charges are welfare superior to marginal cost pricing when tariffs must be set ex ante, before demand is known.     

The effects of stochastic wages and non-labor income on labor supply: update and extensions

The analysis of labor supply under risk has a long history dating back to Hicks (The theory of wages, St. Martin’s Press, New York, 2003) and Knight (Risk, uncertainty and profit, Kelly, New York, 1964). In the 1980s more technical papers investigated the impact of stochastic non-labor income and/or wage rate upon labor supply. In this paper, we show that the effect of a mean-preserving increase in risk in wage rate or non-labor income on labor supply is best understood as a special case of an Nth degree risk increase (as defined by Ekern (Econ Lett 6:329–333, 1980)) and the conditions for signing the effect of a higher-order risk increase in wage rate or non-labor income on labor supply are analogous to those for signing the effect of a simple non-stochastic decrease in wage rate or non-labor income. We thus extend, and provide new and more intuitive interpretations for, related earlier results.     

Nonlinear exchange rate dynamics under stochastic official intervention

Many studies employ non-linear models to explain or forecast the exchange rate and find their superiority. This article builds an exchange rate model of managed float under conditional official intervention. In the model, the government minimizes social loss through a trade-off between targeting the exchange rate and lowering intervention costs. We obtain an endogenous threshold model and derive an analytical solution of the exchange rate stochastic interventions. The implication of a managed float causing a lower volatility of the exchange rate has been found by past empirical studies. Our model provides not only a justification for the central banks' conditional interventions but also a rationale for the use of regime-switching models of two states (intervention vs. non-intervention) in the empirical studies of exchange rates.     

General instrumental variables estimation under stochastic linear restrictions

This letter extends the Theil-Goldberger ‘mixed’ regression estimator, for models subject to stochastic linear restrictions, to the case of stochastic regressors. A general instrumental variables ‘mixed’ estimator is discussed. The asymptotic distribution of the estimator is obtained, and an asymptotic test of the compatibility of the sample and prior information is presented.