Optimal strategy for a fund manager with option compensation

I consider the problem of portfolio optimization for a manager whose compensation is given by the sum of a constant and a variable term. The constant term is a fixed percentage of the managed funds that is payed to the manager independently of his performance. The variable term is a premium that is proportional to the profit earned by the manager over a benchmark at a certain evaluation date. I find the optimal strategy and the optimal portfolio value in the Black–Scholes setting when the benchmark is a linear combination of the risky asset and the money market account.     

论瑞典民主社会主义的和谐特点

从某种意义上说,瑞典是一个典型的和谐国家,是真正意义上的社会主义国家。1932年,社民党上台执政,以功能的社会主义为指导,以建设福利国家为中心,以民主的人道的社会主义为目标,自30年代到70年代中期。建成“瑞典式”的和谐的社会主义国家,其主要特点是:瑞典实行公有制与私有制并存的混合经济;是世界上最富裕的国家之一;是社会民主党执政最稳定的国家;是一个典型的高福利国家;是一个阶级合作的国家;是一个民主与法治的国家;是一个社会差距较小的国家;是一个劳动人民组织程度很高的国家。     

Consistent graphs with signed points

A signed graph is obtained from a graph when each line is given either a positive or a negative sign. We now define a marked graph analogously by signing the points of a graph. In both of these the sign of a cycle is the product of the signs of the lines or points, respectively. In a balanced signed graph or in a consistent marked graph, every cycle is positive. Our object is to investigate consistent marked graphs. It is shown that if such a graph has both positive and negative points, it cannot be highly connected; more precisely, it is not 3-connected. We conclude with a series of constructions which show that a given consistent marked graph can often be reduced to smaller ones.     

Optimale revisietijd

Optimum period of overhaul, a case-study
A general formula is given, when to proceed to an overhaul in such a way that the costs of wear and those of overhaul together will be a minimum (par. 2). In par. 3 the practical solution for cells in electrolysis is discussed. First a nonstochastic model is considered, then the more realistic stochastic model. It is proved that an overhaul is not indicated after a certain space of time or after a certain increase in the costs, but when a certain absolute level of the costs (corresponding with a certain electrical tension) is reached irrespective of what went before. A formula (14) to this end is given. Attention is also paid to the problem of the numerical evaluation.     

The Ignored Performance Measure

This paper studies a setting in which a risk-averse agent must be motivated to work on two tasks: evaluating a potential project and, if the project is adopted, implementing it. Although a performance measure that is informative of an agent's action is typically valuable because it can be used to improve the risk sharing of the contract, this is not necessarily the case in this two-task setting. I provide a sufficient condition under which a performance measure that is informative of the agent's implementation effort is worthless for contracting despite the agent being risk averse. This shows that information content is a necessary but not a sufficient condition for a performance measure to be valuable.     

When to accept a sequence of gambles

When is a sequence of gambles, which is initially rejected eventually accepted? The eventual acceptance is defined as a pair property between the utility function and the sequences of gambles. A sequence of gambles is accepted when the gambles follow a large deviation principle and the utility function is non-satiated and bounded from below in a certain way. The number of gambles required for acceptance is computed.     

Nonparametric search

We analyze the search problem of a consumer who derives information only from the sequential search process. This paper considers the case of a consumer who uses a nonparametric procedure to estimate the probability distribution. It is shown that a solution to the consumer's problem is a very simple strategy which depends only on the order statistics, on the discounting factor, and on the duration of the search. It leads to a finite search almost surely. This optimal strategy is a myopic rule which is computable and which is characterized by a sequence of strictly increasing reservation prices.     

Rational expectations and the econometric modeling of markets subject to uncertainty: A Bayesian approach

Rational expectations theory is synthesized with Bayesian econometric theory to yield econometrically relevant models of competitive markets subject to uncertainty. The theory is used to derive both optimal estimators of the parameters of a Cobb-Douglas production function from time series data, and the equilibrium predictor of a future price. It is shown that a rational expectations price predictor is always an unbiased predictor, but that the converse is not true. It is also shown that the rational expectations equilibrium is a natural extension of the usual notion of a competitive equilibrium.     

How Fast Do Banks Adjust? A Dynamic Model of Labor-Use with an Application to Swedish Banks

This paper deals with a dynamic adjustment process in which adjustment of a key variable input (labor) towards its desired level is modeled in a panel data context. The partial adjustment type model is extended to make the adjustment parameter both firm- and time-specific by specifying it as a function of firm- and time-specific variables. Desired level of labor use is represented by a labor requirement function, which is a function of outputs and other firm-specific variables. The catch-up factor is defined as the ratio of actual to desired level of employment. Productivity growth is then defined in terms of a shift in the desired level of labor use and the change in the catch-up factor. Swedish banking data is used as an application of the above model.     

Equivalence between welfare and entropy approaches to residential location

An optimization model for residential location in an urban area is presented. As the objective, a welfare measure is considered which is derived as aggregated expected utility based on utility-maximizing individual behaviour. The utilities include travel costs for work trips as well as a measure of the disutility with high-density living. The problem of finding a welfare maximizing housing allocation is shown to be equivalent to an entropy maximizing problem provided that a certain condition is met. By considering a dual formulation, a computationally more expedient problem is obtained. The model approach is illustrated by a few applications to the Stockholm region.     

ENDOGENEITY IN COUNT DATA MODELS: AN APPLICATION TO DEMAND FOR HEALTH CARE

The generalized method of moments (GMM) estimation technique is discussed for count data models with endogenous regressors. Count data models can be specified with additive or multiplicative errors. It is shown that, in general, a set of instruments is not orthogonal to both error types. Simultaneous equations with a dependent count variable often do not have a reduced form which is a simple function of the instruments. However, a simultaneous model with a count and a binary variable can only be logically consistent when the system is triangular. The GMM estimator is used in the estimation of a model explaining the number of visits to doctors, with as a possible endogenous regressor a self-reported binary health index. Further, a model is estimated, in stages, that includes latent health instead of the binary health index. © 1997 John Wiley & Sons, Ltd.     

Expected utility theory on mixture spaces without the completeness axiom

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the mixture space is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result.     

Management Strategy and Labour Flexibility In Japanese Manufacturing Enterprises

Since the 1970s Japanese labour relations and management practices have been scrutinised as Western firms search for ways to improve their productivity and international competitiveness. Pervading this literature is the view that the Japanese labour market is flexible and adaptable. the purpose of this article is to ascertain if flexibility is a key strategic objective of management and if Japanese firms adopt a core-peripheral approach to employment. the research is based on a survey of Japanese enterprises conducted and detailed interviews with senior managers. the major finding is that Japanese labour practices have a strategic component and that the use of casual and contract workers is consistent with a core-peripheral labour strategy.     

Ranked set sampling and randomized response procedures for estimating the mean of a sensitive quantitative character

This paper is devoted to the analysis of the estimation of the mean of a sensitive variable. The use of a randomized response (RR) procedure gives confidence to the interviewed that his privacy is protected. We consider that a simple random sampling with replacement design is used for selecting a sample. The behavior of the RR procedure, when ranked set sampling is the design used, is developed under three different ranking criteria. The usual gain in accuracy associated with the use of ranked set sampling is exhibited only by one of the designs. The behavior of the models is illustrated using data provided by a study of samples of persons infected with AIDS.     

International joint ventures: Theoretical considerations

This paper constructs models to investigate the rationale for a multinational corporation to enter into a joint venture to serve a host market. In particular, the model examines the impact of profit sharing, cost reductions, risk reductions, and competition reductions on the profits of international joint ventures. The results may explain the ‘recent’ popularity of international joint ventures. The models show that (1) a joint venture is the dominant entry strategy when there is a formidable local competitor and the risks of operation are high, (2) a wholly owned subsidiary is preferred if a multinational corporation has a significant cost advantage, (3) a joint venture is preferred to a wholly owned subsidiary if significant cost reductions can be achieved through combining the strengths of a multinational corporation and a local firm, and (4) multiple licensing is preferred if the number of local firms is large.     

Common factors can always be found but can they also be rejected?

Factor models are often used to reduce the complexity of data. It is simple to find common factors and to interpret them. However, it is doubtful whether factor models are always appropriate. Especially when the common factor is considered to be an attitude, it must be stable through time and explain a considerable part of the variances. A procedure is suggested to test the usefulness of a common factor. In an experimental pilot study in which an attitude towards immigrant workers was investigated, the instability and superfluousness of a common factor is shown. An alternative model is presented which suggests that changing opinions can be explained by specific variables. Finally it is shown that a more stable common factor is found if a so-called MIMIC-design is used.     

Unit root testing via the stationary bootstrap

A nonparametric, residual-based stationary bootstrap procedure is proposed for unit root testing in a time series. The procedure generates a pseudoseries which mimics the original, but ensures the presence of a unit root. Unlike many others in the literature, the proposed test is valid for a wide class of weakly dependent processes and is not based on parametric assumptions on the data-generating process. Large sample theory is developed and asymptotic validity is shown via a bootstrap functional central limit theorem. The case of a least squares statistic is discussed in detail, including simulations to investigate the procedure's finite sample performance.     

On the role of government in a stochastically growing open economy

The relationship between the size of government, economic growth, and volatility in a small open economy is analyzed. First, we characterize the stochastic equilibrium for a centrally planned economy, contrasting it with a closed economy. The role of government consumption expenditure both as a stabilizing and a destabilizing factor is discussed. The optimal size of government is derived and we find that an open economy will have a larger government if and only if it is a net creditor. Second, the stochastic equilibrium in a decentralized economy is characterized and the optimal tax structure derived. Finally, the role of government production expenditure and its impact on risk is briefly discussed.