Greeks (finance)

In mathematical finance, the Greeks are the quantities representing the sensitivity of the price of derivatives such as options to a change in underlying parameters on which the value of an instrument or portfolio of financial instruments is dependent. The name is used because the most common of these sensitivities are denoted by Greek letters (as are some other finance measures). Collectively these have also been called the risk sensitivities,risk measures or hedge parameters.

Use of the Greeks

The Greeks are vital tools in risk management. Each Greek measures the sensitivity of the value of a portfolio to a small change in a given underlying parameter, so that component risks may be treated in isolation, and the portfolio rebalanced accordingly to achieve a desired exposure; see for example delta hedging.

The Greeks in the Black–Scholes model are relatively easy to calculate, a desirable property of financial models, and are very useful for derivatives traders, especially those who seek to hedge their portfolios from adverse changes in market conditions. For this reason, those Greeks which are particularly useful for hedging—such as delta, theta, and vega—are well-defined for measuring changes in Price, Time and Volatility. Although rho is a primary input into the Black–Scholes model, the overall impact on the value of an option corresponding to changes in the risk-free interest rate is generally insignificant and therefore higher-order derivatives involving the risk-free interest rate are not common.

Color (EP)

Color is the second EP by Japanese visual kei band, Girugamesh, released on July 7, 2010.

Track listing

Personnel

References

Color (band)

Color (stylized as COLOR) was a Japanese punk band formed in 1985 by Dynamite Tommy, who founded the Free-Will record label a year later. They are considered to be important to the formation of visual kei. Their debut album Gekitotsu was named one of the top albums from 1989-1998 in a 2004 issue of the music magazine Band Yarouze.

History

Color released their debut album Gekitotsu, in January 1988. After releasing their second album Fools! Get Lucky!!, they signed to Crown Records and released their only major studio album a couple months later, Ask the Angels. It is said that the label made the band rewrite the album's lyrics, which were originally in English, in Japanese to be more accessible by the mainstream. It seemed to have worked, as Ask the Angels reached number 16 on the Oricon chart and their popularity increased. However, in January 1990 at a concert on the album's tour, in their hometown of Osaka, a fan was accidentally stomped to death. The band decided to lay low and avoid media, they ended up losing their contract with Crown. During this hiatus, Tommy formed Sister's No Future with Ken-chan (Kamaitachi), while Marry started Goatcore with You Adachi (Dead End).

Curl (route)

A curl route, also called a button hook, is a pattern run by a receiver in American football, where the receiver appears to be running a fly pattern but after a set amount of steps or yards will quickly stop and turn around, looking for a pass. This generally works best when the defending corner or safety commits himself to guarding the fly and is unable to stop quickly enough to defend the pass.

The curl is a pattern used frequently by the West Coast offensive scheme, where quick and accurate passes are favored.

Curl (mathematics)

In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a 3-dimensional vector field. At every point in the field, the curl of that point is represented by a vector. The attributes of this vector (length and direction) characterize the rotation at that point.

The direction of the curl is the axis of rotation, as determined by the right-hand rule, and the magnitude of the curl is the magnitude of rotation. If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid. A vector field whose curl is zero is called irrotational. The curl is a form of differentiation for vector fields. The corresponding form of the fundamental theorem of calculus is Stokes' theorem, which relates the surface integral of the curl of a vector field to the line integral of the vector field around the boundary curve.

The alternative terminology rotor or rotational and alternative notations rot F and ∇ × F are often used (the former especially in many European countries, the latter, using the del operator and the cross product, is more used in other countries) for curl and curl F.