Explicit Representation of the Minimal Variance Portfolio in Markets Driven by Lévy Processes

In a market driven by a Lévy martingale, we consider a claim ξ. We study the problem of minimal variance hedging and we give an explicit formula for the minimal variance portfolio in terms of Malliavin derivatives. We discuss two types of stochastic (Malliavin) derivatives for ξ: one based on the chaos expansion in terms of iterated integrals with respect to the power jump processes and one based on the chaos expansion in terms of iterated integrals with respect to the Wiener process and the Poisson random measure components. We study the relation between these two expansions, the corresponding two derivatives, and the corresponding versions of the Clark-Haussmann-Ocone theorem.     

Modelling the joint behaviour of electricity prices in interconnected markets

The liberalization of energy markets worldwide during recent decades has introduced severe implications for the price formation in these markets. Especially within the European day-ahead electricity markets, increased physical connections between different market areas and a joint effort on optimizing the aggregate social welfare have led to highly connected markets. Consequently, observing the exact same hourly day-ahead prices for two or more interconnected electricity markets in Europe happens frequently. This affects the modelling of such prices and in turn the valuation of derivatives written on prices from these market areas. In this paper, we propose a joint model for day-ahead electricity prices in interconnected markets composed of a combination of transformed Ornstein–Uhlenbeck processes. We discuss the properties of the model and propose an estimation procedure based on filtering techniques. Furthermore, the properties of the model reveal that analytical prices are attainable for, e.g., forwards and spread options.     

Transitions From School to Work and the Early Labour Market Experience

We consider transitions from school to work and the early market experience. The duration of post-school unemployment, wages, and job duration are estimated simultaneously. We find that individuals with higher levels ofschooling get jobs more quickly and have longer employment durations. Apprentices have shorter unemployment periods and stay longer in their jobs than others at the same educational level. Females have shorter unemployment periods and lower wages, and also stay in the first job longer. The unemployment duration and the accepted wage affect job duration positively, but the estimated covariance terms suggest unobserved factors working in the opposite direction.     

Formalisation of land rights in the South: An overview

Formalisation of property rights has recently been proposed as a way of reducing poverty. The poor, it is said, do not lack assets, they lack only the formal, protected rights necessary to make these assets engines of entrepreneurship, thriving markets, and information networks. Historical evidence with regard to formalisation programmes is, however, mixed at best, and current universalist proposals contain numerous flaws. A more context-specific and flexible approach is needed, with greater attention to local settings and specific objectives and tools. Property formalisation should not be considered merely a technical tool but must take account of politics and culture.     

Endogenous money,inflation, and welfare

This paper addresses the classic question: what are the welfare costs of inflation. We employ a model in which the ratios of currency to deposits and currency to reserves are endogenously determined. The model distinguishes quantitatively between three sources of welfare cost of inflation, and provides further estimates for potential welfare gains from improvements in transaction technologies. Estimates of the marginal cost of public funds associated with the inflation tax are compared both with that of labor taxation within the model and with those reported in the public finance and macro literature. We conclude that not only is inflation an inefficient source of government revenue, but also that, in the absence of lump-sum taxation, deflationary policies may be highly inefficient.     

Intergenerational Earnings Mobility in Norway: Levels and Trends*

Using longitudinal data for Norwegian children born in 1950, 1955, 1960 and 1965, we find a relatively high degree of earnings mobility. There is no tendency toward decreasing mobility over the cohorts. Conditioning on the position in the earnings distribution, the analysis indicates quite high mobility in the middle of the distribution and somewhat more persistence at the top and bottom. This approach also reveals increased mobility over time for sons, but a less clear picture for daughters.     

New business start-up and subsequent entry into self-employment

The present research focuses upon new businesses which are started from scratch. The theories of reasoned action and planned behavior are used to formulate hypotheses concerning self-employment intentions and subsequent entry into self-employment. The hypotheses are tested using longitudinal data from 297 Norwegian business founders. The results suggest that salient beliefs concerning self-employment determine attitudes toward self-employment, that attitude and subjective norm determine intentions to become self-employed, and that intentions to become self-employed determine actual entry into self-employment. The findings strongly support the theory of reasoned action, but provide no support for the extension of the theory represented by the theory of planned behavior.