Local volatility changes in the black-scholes model

In this paper we address a problem arising in risk management; namely the study of price variations of different contingent claims in the Black-Scholes model due to anticipating future events. The method we propose to use is an extension of the classical Vega index, i.e. the price derivative with respect to the constant volatility, in thesense that we perturb the volatility in different directions. Thisdirectional derivative, which we denote the local Vega index, will serve as the main object in the paper and one of the purposes is to relate it to the classical Vega index. We show that for all contingent claims studied in this paper the local Vega index can be expressed as a weighted average of the perturbation in volatility. In the particular case where the interest rate and the volatility are constant and the perturbation is deterministic, the local Vega index is an average of this perturbation multiplied by the classical Vega index. We also study the well-known goal problem of maximizing the probability of a perfect hedge and show that the speed of convergence is in fact dependent of the local Vega index.

Option valuation as an expectation in the complex domain: The Black-Scholes case

It is very well known that the first succesful valuation of a stock option was done by solving a deterministic partial differential equation (PDE) of the parabolic type with some complementary conditions specific for the option. In this approach, the randomness in the option value process is eliminated through a no-arbitrage argument. An alternative approach is to construct a replicating portfolio for the option. From this viewpoint the payoff function for the option is a random process which, under a new probabilistic measure, turns out to be of a special type, a martingale. Accordingly, the value of the replicating portfolio (equivalently, of the option) is calculated as an expectation, with respect to this new measure, of the discounted value of the payoff function. Since the expectation is, by definition, an integral, its calculation can be made simpler by resorting to powerful methods already available in the theory of analytic functions. In this paper we use precisely two of those techniques to find the well-known value of a European call

A Supersymmetric black ring

A new supersymmetric black hole solution of five-dimensional supergravity is presented. It has an event horizon of topology S1 X S2. This is the first example of a supersymmetric, asymptotically flat black hole of nonspherical topology. The solution is uniquely specified by its electric charge and two independent angular momenta. These conserved charges can be arbitrarily close, but not exactly equal, to those of a supersymmetric black hole of spherical topology.

Microstates of a neutral black hole in M theory

We consider vacuum solutions in M theory of the form of a five-dimensional Kaluza-Klein black hole cross T6. In a certain limit, these include the five-dimensional neutral rotating black hole (cross T6). From a type-IIA standpoint, these solutions carry D0 and D6 charges. We show that there is a simple D-brane description which precisely reproduces the Hawking-Bekenstein entropy in the extremal limit, even though supersymmetry is completely broken.

Microscopic entropy of the black ring

A surprising new seven-parameter supersymmetric black ring solution of five-dimensional supergravity has recently been discovered. In this paper, M theory is used to give an exact microscopic accounting of its entropy.

Option valuation as an expectation in the complex domain: The Black-Scholes case

It is very well known that the first succesful valuation of a stock option was done by solving a deterministic partial differential equation (PDE) of the parabolic type with some complementary conditions specific for the option. In this approach, the randomness in the option value process is eliminated through a no-arbitrage argument. An alternative approach is to construct a replicating portfolio for the option. From this viewpoint the payoff function for the option is a random process which, under a new probabilistic measure, turns out to be of a special type, a martingale. Accordingly, the value of the replicating portfolio (equivalently, of the option) is calculated as an expectation, with respect to this new measure, of the discounted value of the payoff function. Since the expectation is, by definition, an integral, its calculation can be made simpler by resorting to powerful methods already available in the theory of analytic functions. In this paper we use precisely two of those techniques to find the well-known value of a European call

Black culture, white youth: la tradició cultural jamaicana al Regne Unit

Amb aquest projecte es pretén documentar tres dècades d'influència jamaicana en la cultura britànica, a partir de l’arribada del vaixell Empire Windrush al 1948, de la independència de Jamaica al 1962 i fins a finals dels anys setanta, coincidint amb l’arribada del rastafarisme. Es tracta de posar de manifest la contribució cultural i social dels jamaicans que, en gran part, ha ajudat al desenvolupament del Regne Unit.Els sound systems, els segells discogràfics i les seves subsidiàries, les gires i concerts d’artistes jamaicans... són una clara mostra de les aportacions de la comunitat jamaicana al país i que molts cops es posen de manifest amb celebracions tan populars com el famós Carnaval de Notting Hill. I és que la música i la cultura jamaicana és quelcom més del que molts es pensen, no només és Bob Marley i el consum de marihuana.

White under Black. Works from the imperceptible / 1. Blanca Casas Brullet: Make Say

White under Black. Works from the imperceptible / 1. Blanca Casas Brullet: Make Say The large photographs of Espacespages (2009) work to transform the creative space of the blank page toward the enabled space of openness to the world. The image gives prominence to the emptiness of the room, almost a cell, in which an action takes place, dimly illuminated by a pair of windows that makes me think of two eyes that attentively contemplate the interior of a process of creation.

White under Black. Works from the Imperceptible / 2. Mar Arza: Readings and Consumption...

In the works of Mar Arza we perceive a sustained concern with lines of writing on surfaces. Earlyon, she altered the pages and letters of old books. More recently she has intervened in the lettersand the blank spaces on all kinds of printed paper — savings books, electricity bills, medical referrals, calendar pages, lottery tickets...

Legal Issues for FOSS-based Supply Chain Management ¿ Black Duck Software

Open source is typically outside of normal commercial software procurement processes.The Challenges.Increasingly diverse and distributed set of development resources.Little/no visibility into the origins of the software.Supply Chain Comparison: Hardware vs Software.Open source has revolutionized the mobile and device landscape, other industries will follow.Supply chain management techniques from hardware are useful for managing software.SPDX A standard format for communicating a software Bill of Materials across the supply chain.Effective management and control requires training, tools, processes and standards.

Cycle: White under Black. Works from the imperceptible / 3. Freya Powell: I’ll smile and I’m not sad, and other past presents

The video installations of Freya Powell's first exhibition in Barcelona call for an analysis of the links between memory and the archive, between compilation, registration, and the traces of History. Powell's work establishes a fine link between the memory of those sentenced to death in the United States, the memory of the Second World War, the artist's own memory, and the different world maps produced by colonial history. This link forces us to take into account our own connection not only with the voices and words that have been archived, but also with those voices that we want to hear and register.

Cultivation of black truffle to promote reforestation and land-use stability

Cultivation of black truffle, Tuber melanosporum Vitt., has become an important agricultural alternative in rural Mediterranean regions due to its success in relatively harsh conditions, its high market value and diminishing production in natural areas. In addition, truffle cultivation requires relatively low agricultural inputs, promotes reforestation and economic restoration of rural lands and land-use stability. However, there remain major issues regarding the management practices to ensure successful black truffle production. We therefore conducted an experiment to evaluate 3 levels of irrigation based on monthly water deficit and the effects of currently applied weed control systems and fertilization. Treatment effects were evaluated by examining the mycorrhizal status of out-planted 1-yr-old Quercus ilex L. seedlings and seedling growth parameters after 18 months in 3 distinct experimental truffle plantations located in the foothills of the Spanish Pyrenees. We found that replacing one-half of the water deficit of the driest month (moderate irrigation) promoted the proliferation of T. melanosporum mycorrhizae, while high irrigation reduced fine root production and truffle mycorrhizae. Glyphosate weed control improved seedling survival by up to 16% over control seedlings without jeopardizing truffle mycorrhizae in the first year. Fertilization did not improve seedling growth or influence its mycorrhizal status. We describe the persistent relationship between this ectomycorrhizal fungus and Q. ilex by quantifying old and new mycorrhizae and we discuss the ecological implications of the symbiosis.

White under Black. Works from the imperceptible / 5. Isabel Banal: Via Lactea [Milky Way]

The exhibition "Isabel Banal. Via Lactea" is part of the exhibition cycle "Blanc sota negre. Treballs des de l'imperceptible / 5" curated by Joana Masó (Centre Dona i Literatura) and Assumpta Bassas (Universitat de Barcelona). In this exhibition, the artist shows long-term and open projects exhibited on five tables. The table is one of the central elements from the beginning of her career, in relation to the creative and domestic space, but also as a double metaphor for the ground and for soil.