|
Vanna–Volga Pricing
The Vanna–Volga method is a mathematical tool used in finance. It is a technique for pricing first-generation exotic options in foreign exchange market (FX) derivatives. Description It consists of adjusting the Black–Scholes theoretical value (BSTV) by the cost of a portfolio which hedges three main risks associated to the volatility of the option: the Vega Vega is the brightest star in the northern constellation of Lyra. It has the Bayer designation α Lyrae, which is Latinised to Alpha Lyrae and abbreviated Alpha Lyr or α Lyr. This star is relatively close at only from the Sun, and ... \mathcal, the Vanna and the Volga. The Vanna is the sensitivity of the Vega with respect to a change in the spot FX rate: \textrm = \frac. Similarly, the Volga is the sensitivity of the Vega with respect to a change of the implied volatility \sigma: \textrm= \frac. If we consider a smile volatility term structure \sigma(K) with ATM strike K_0, ATM volatility \sigma_0 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finance
Finance refers to monetary resources and to the study and Academic discipline, discipline of money, currency, assets and Liability (financial accounting), liabilities. As a subject of study, is a field of Business administration, Business Administration wich study the planning, organizing, leading, and controlling of an organization's resources to achieve its goals. Based on the scope of financial activities in financial systems, the discipline can be divided into Personal finance, personal, Corporate finance, corporate, and public finance. In these financial systems, assets are bought, sold, or traded as financial instruments, such as Currency, currencies, loans, Bond (finance), bonds, Share (finance), shares, stocks, Option (finance), options, Futures contract, futures, etc. Assets can also be banked, Investment, invested, and Insurance, insured to maximize value and minimize loss. In practice, Financial risk, risks are always present in any financial action and entities. Due ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Exotic Option
In finance, an exotic option is an option which has features making it more complex than commonly traded vanilla options. Like the more general exotic derivatives they may have several triggers relating to determination of payoff. An exotic option may also include a non-standard underlying instrument, developed for a particular client or for a particular market. Exotic options are more complex than options that trade on an exchange, and are generally traded over the counter. Etymology The term "exotic option" was popularized by Mark Rubinstein's 1990 working paper (published 1992, with Eric Reiner) "Exotic Options", with the term based either on exotic wagers in horse racing, or due to the use of international terms such as "Asian option", suggesting the "exotic Orient". Journalist Brian Palmer used the "successful $1 bet on the superfecta" in the 2010 Kentucky Derby that "paid a whopping $101,284.60" as an example of the controversial high-risk, high-payout exotic bets ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Foreign Exchange Market
The foreign exchange market (forex, FX, or currency market) is a global decentralized or over-the-counter (OTC) market for the trading of currencies. This market determines foreign exchange rates for every currency. By trading volume, it is by far the largest market in the world, followed by the credit market. The main participants are the larger international banks. Financial centres function as anchors of trading between a range of multiple types of buyers and sellers around the clock, with the exception of weekends. As currencies are always traded in pairs, the market does not set a currency's absolute value, but rather determines its relative value by setting the market price of one currency if paid for with another. Example: 1 USD is worth 1.1 Euros or 1.2 Swiss Francs etc. The market works through financial institutions and operates on several levels. Behind the scenes, banks turn to a smaller number of financial firms known as "dealers", who are involve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Foreign Exchange Derivative
A foreign exchange derivative is a financial derivative whose payoff depends on the foreign exchange rates of two (or more) currencies. These instruments are commonly used for currency speculation and arbitrage or for hedging foreign exchange risk. History Foreign exchange transactions can be traced back to the fourteenth Century in England. The development of foreign exchange derivatives market was in the 1970s with the historical background and economic environment. Firstly, after the collapse of the Bretton Woods system, in 1976, the International Monetary Fund held a meeting in Jamaica and reached the Jamaica agreement. When the floating exchange-rate system replaced a fixed exchange-rate system, many countries relaxed control of interest rates and the risk of financial market increased. In order to reduce and avoid risks and achieve the purpose of hedging, modern financial derivatives were created. Secondly, economic globalization promoted the globalization of financ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greeks (finance)
In mathematical finance, the Greeks are the quantities (known in calculus as partial derivatives; first-order or higher) representing the sensitivity of the price of a derivative instrument such as an option to changes in one or more 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 (a relatively simple idealised mode ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Volatility Smile
Volatility smiles are implied volatility patterns that arise in pricing financial options. It is a parameter (implied volatility) that is needed to be modified for the Black–Scholes formula to fit market prices. In particular for a given expiration, options whose strike price differs substantially from the underlying asset's price command higher prices (and thus implied volatilities) than what is suggested by standard option pricing models. These options are said to be either deep in-the-money or out-of-the-money. Graphing implied volatilities against strike prices for a given expiry produces a skewed "smile" instead of the expected flat surface. The pattern differs across various markets. Equity options traded in American markets did not show a volatility smile before the Crash of 1987 but began showing one afterwards. It is believed that investor reassessments of the probabilities of fat-tail have led to higher prices for out-of-the-money options. This anomaly implies ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Finance
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. Mathematical finance overlaps heavily with the fields of computational finance and financial engineering. The latter focuses on applications and modeling, often with the help of stochastic asset models, while the former focuses, in addition to analysis, on building tools of implementation for the models. Also related is quantitative investing, which relies on statistical and numerical models (and lately machine learning) as opposed to traditional fundamental analysis when managing portfolios. French mathematician Louis Bachelier's doctoral thesis, defended in 1900, is considered the first scholarly work on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Derivatives (finance)
The derivative of a function is the rate of change of the function's output relative to its input value. Derivative may also refer to: In mathematics and economics * Brzozowski derivative in the theory of formal languages *Covariant derivative, a way of specifying a derivative along tangent vectors of a manifold with a connection. * Exterior derivative, an extension of the concept of the differential of a function to differential forms of higher degree. *Formal derivative, an operation on elements of a polynomial ring which mimics the form of the derivative from calculus * Fréchet derivative, a derivative defined on normed spaces. * Gateaux derivative, a generalization of the concept of directional derivative in differential calculus. * Lie derivative, the change of a tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector field. * Radon–Nikodym derivative in measure theory * Derivative (set theory), a concept app ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Portfolio Theories
Portfolio may refer to: Objects * Portfolio (briefcase), a type of briefcase Collections * Portfolio (finance), a collection of assets held by an institution or a private individual * Artist's portfolio, a sample of an artist's work or a case used to display artwork, photographs etc. * Career portfolio, an organized presentation of an individual's education, work samples, and skills * Electronic portfolio, a collection of electronic documents * IT portfolio, in IT portfolio management, the portfolio of large classes of items of enterprise Information Technology * Patent portfolio, a collection of patents owned by a single entity * Project portfolio, in project portfolio management, the portfolio of projects in an organization * Ministry (government department), the post and responsibilities of a head of a government department Computing * Atari Portfolio, a palmtop computer * Extensis Portfolio, a digital asset manager * PDF portfolio Media Music * ''Portfol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
