Analytic approximations for multi-asset option pricing

We derive general analytic approximations for pricing European basket and rainbow options on N assets. The key idea is to express the option’s price as a sum of prices of various compound exchange options, each with different pairs of subordinate multi- or single-asset options. The underlying asset prices are assumed to follow lognormal processes, although our results can be extended to certain other price processes for the underlying. For some multi-asset options a strong condition holds, whereby each compound exchange option is equivalent to a standard single-asset option under a modified measure, and in such cases an almost exact analytic price exists. More generally, approximate analytic prices for multi-asset options are derived using a weak lognormality condition, where the approximation stems from making constant volatility assumptions on the price processes that drive the prices of the subordinate basket options. The analytic formulae for multi-asset option prices, and their Greeks, are defined in a recursive framework. For instance, the option delta is defined in terms of the delta relative to subordinate multi-asset options, and the deltas of these subordinate options with respect to the underlying assets. Simulations test the accuracy of our approximations, given some assumed values for the asset volatilities and correlations. Finally, a calibration algorithm is proposed and illustrated.

Embodied social capital and geographic perspectives: performing the habitus

This paper reopens debates of geographic theorizations and conceptualizations of social capital. I argue that human geographers have tended to underplay the analytic value of social capital, by equating the concept with dominant policy interpretations. It is contended that geographers could more explicitly contribute to pervasive critical social science accounts. With this in mind, an embodied perspective of social capital is constructed. This synthesizes Bourdieu's capitals and performative theorizations of identity, to progress the concept of social capital in four key ways. First, this theorization more fully reconnects embodied differences to broader socioeconomic processes. Second, an exploration of how embodied social differences can emerge directly from the political-economy and/or via broader operations of power is facilitated. Third, a path is charted through the endurance of embodied inequalities and the potential for social transformation. Finally, embodied social capital can advance social science conceptualizations of the spatiality of social capital, by illuminating the importance of broader sociospatial contexts and relations to the embodiment of social capital within individuals.

Developing responsive preventative practices: key messages from children's and families' experiences of the Children's Fund

As part of the prevention and social inclusion agenda, the Children's Fund, set up in 2000, has developed preventative services for children at risk of social exclusion. Drawing on a large qualitative dataset of interviews conducted in 2004/05 with children, young people and their parents/carers who accessed Children Fund services, this article analyses key practices and approaches valued by children and parents. These included: specialist support tailored to individual support needs, family-oriented approaches, trusting relationships with service providers, multi-agency approaches and sustainability of services. Finally, the article draws out key lessons for the future development of preventative services.

Key features of the IPSL ocean atmosphere model and its sensitivity to atmospheric resolution

This paper presents the major characteristics of the Institut Pierre Simon Laplace (IPSL) coupled ocean–atmosphere general circulation model. The model components and the coupling methodology are described, as well as the main characteristics of the climatology and interannual variability. The model results of the standard version used for IPCC climate projections, and for intercomparison projects like the Paleoclimate Modeling Intercomparison Project (PMIP 2) are compared to those with a higher resolution in the atmosphere. A focus on the North Atlantic and on the tropics is used to address the impact of the atmosphere resolution on processes and feedbacks. In the North Atlantic, the resolution change leads to an improved representation of the storm-tracks and the North Atlantic oscillation. The better representation of the wind structure increases the northward salt transports, the deep-water formation and the Atlantic meridional overturning circulation. In the tropics, the ocean–atmosphere dynamical coupling, or Bjerknes feedback, improves with the resolution. The amplitude of ENSO (El Niño-Southern oscillation) consequently increases, as the damping processes are left unchanged.

Exploring the determinants of CAP reform: A Delphi survey of key decision-makers

A panel of key decision-makers, closely involved in the 1992, 1999 and 2003 CAP reforms, participated in a Delphi survey designed to ascertain what had prompted the European Commission to launch these reform initiatives and what factors were relevant in determining the reform packages subsequently decided by the Council.

Key to the paper and social wasps of Central Europe (Hymenoptera: Vespidae)

A determination key to the Central European paper wasps (Polistinae – Polistes Latreille, 1802 – eight species) and social wasps (Vespinae – 11 species: Vespa Linnaeus, 1758 – one species, Vespula Thomson, 1869 – four species, Dolichovespula Rohwer, 1916 – six species) is given. Distribution and biotope requirements of all species in the Czech Republic and Slovakia are briefly mentioned. All social wasps occur more or less regularly in both countries. Four paper wasps are relatively common but four other species (Polistes atrimandibularis Zimmermann, 1930, P. sulcifer Zimmermann, 1930, P. associus Kohl, 1898, and P. gallicus (Linnaeus, 1767)) are very rare with the Czech Republic and/or Slovakia at the northern edge of their range.

Comparative analysis by protocol and key of seed storage behaviour of sixty Vietnamese tree species

Seed storage behaviour of 5 1 native and 9 introduced tree species in Vietnam was investigated using a brief protocol developed to aid biodiversity conservation in circumstances where little is known about the seeds. Of the 60 species, 34 appeared to show orthodox (Acacia auriculaeformis, Adenanthera pavonina, Afzelia xylocarpa, Bauhinia purpurea, Callistemon lanceolatus, Cananga odorata, Canarium nigrum, Cassia fistula, Cassia javanica, Cassia splendida, Chukrasia tabularis, Dalbergia bariaensis, Dialium cochinchinensis, Diospyros mollis, Diospyros mun, Dracuntomelon duperreanum, Erythrophleum fordii, Khaya senegalensis, Lagerstroemia speciosa, Leucaena leucocephala, Livistona cochinchinensis, Markhamia stipulata, Melaleuca cajuputi, Millettia ichthyotona, Peltophorum pterocarpum, Peltophorum tonkinensis, Pinus khasya, Pinus massoniana, Pinus merkusii, Pterocarpus macrocarpus, Sindora siamensis, Sophora tonkinense, Sterculia foetida, Swietenia macrophylla), 13 recalcitrant (Avicennia alba, Beilschmiedia roxburghiana, Caryota mitis, Dimocarpus sp., Diospyros malabarica, Dipterocarpus chartaceus, Dypsis pinnatifrons, Hopea odorata, Lithocarpus gigantophylla, Machilus odoratissimus, Melanorrhoea laccifera, Melanorrhea usitata, Syzygium cinereum) and 13 intermediate (Anisoptera cochinchinensis, Aphanamixis polystachya, Averrhoa carambola, Carissa carandas, Chrysopylum cainito, Cinnamomum camphora, Citrofortunella microcarpa, Citrus grandis var. grandis, Elaeis guineensis, Hydnocarpus anthelmintica, Madhuca floribunda, Manilkara achras, Mimusops elengi) seed storage behaviour. A double-criteria key to estimate likely seed storage behaviour showed good agreement with the above: the key can reduce the workload of seed storage behaviour identification considerably.