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Indifference Price
In finance, indifference pricing is a method of pricing financial securities with regard to a utility function. The indifference price is also known as the reservation price or private valuation. In particular, the indifference price is the price at which an agent would have the same expected utility level by exercising a financial transaction as by not doing so (with optimal trading otherwise). Typically the indifference price is a pricing range (a bid–ask spread) for a specific agent; this price range is an example of good-deal bounds. Mathematics Given a utility function u and a claim C_T with known payoffs at some terminal time T, let the function V: \mathbb \times \mathbb \to \mathbb be defined by : V(x,k) = \sup_ \mathbb\left \left(X_T + k C_T\right)\right/math>, where x is the initial endowment, \mathcal(x) is the set of all self-financing portfolios at time T starting with endowment x, and k is the number of the claim to be purchased (or sold). Then the indifference ... [...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] |
Financial Securities
A security is a tradable financial asset. The term commonly refers to any form of financial instrument, but its legal definition varies by jurisdiction. In some countries and languages people commonly use the term "security" to refer to any form of financial instrument, even though the underlying legal and regulatory regime may not have such a broad definition. In some jurisdictions the term specifically excludes financial instruments other than equity and fixed income instruments. In some jurisdictions it includes some instruments that are close to equities and fixed income, e.g., equity warrants. Securities may be represented by a certificate or, more typically, they may be "non-certificated", that is in electronic ( dematerialized) or "book entry only" form. Certificates may be ''bearer'', meaning they entitle the holder to rights under the security merely by holding the security, or ''registered'', meaning they entitle the holder to rights only if they appear on a security ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Utility Function
In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings. * In a Normative economics, normative context, utility refers to a goal or objective that we wish to maximize, i.e., an objective function. This kind of utility bears a closer resemblance to the original Utilitarianism, utilitarian concept, developed by moral philosophers such as Jeremy Bentham and John Stuart Mill. * In a Positive economics, descriptive context, the term refers to an ''apparent'' objective function; such a function is Revealed preference, revealed by a person's behavior, and specifically by their preferences over Lottery (decision theory), lotteries, which can be any quantified choice. The relationship between these two kinds of utility functions has been a source of controversy among both Economics, economists and Ethics, ethicists, with most maintaining that the two are distinct but generally re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reservation Price
In economics, a reservation (or reserve) price is a limit on the price of a good (economics), good or a service (economics), service. On the demand side, it is the highest price that a buyer is Willingness to pay, willing to pay; on the supply (economics), supply side, it is the lowest price a seller is Willingness to accept, willing to accept for a good or service. Reservation prices are commonly used in auctions, but the concept can be extended beyond. A party's best alternative to a negotiated agreement (BATNA), is closely related to their reservation price. Once a party determines their BATNA, they can further calculate their reservation price. In negotiations surrounding the price of a particular good or service, the reservation price is a singular number. However, this is not the only situation where reservation prices are seen. When multiple issues are being discussed, such as the size of salary and amount of Employee benefits, benefits when applying for a new job position, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Expected Utility
The expected utility hypothesis is a foundational assumption in mathematical economics concerning decision making under uncertainty. It postulates that rational agents maximize utility, meaning the subjective desirability of their actions. Rational choice theory, a cornerstone of microeconomics, builds this postulate to model aggregate social behaviour. The expected utility hypothesis states an agent chooses between risky prospects by comparing expected utility values (i.e., the weighted sum of adding the respective utility values of payoffs multiplied by their probabilities). The summarised formula for expected utility is U(p)=\sum u(x_k)p_k where p_k is the probability that outcome indexed by k with payoff x_k is realized, and function ''u'' expresses the utility of each respective payoff. Graphically the curvature of the u function captures the agent's risk attitude. For example, imagine you’re offered a choice between receiving $50 for sure, or flipping a coin to win $100 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Financial Transaction
A financial transaction is an Contract, agreement, or communication, between a buyer and seller to exchange goods, Service (economics), services, or assets for payment. Any transaction involves a change in the status of the finances of two or more businesses or individuals. A financial transaction always involves one or more financial asset, most commonly money or another valuable item such as gold or silver. There are many types of financial transactions. The most common type, purchases, occur when a good, service, or other commodity is sold to a consumer in exchange for money. Most purchases are made with cash payments, including Cash, physical currency, debit cards, or cheques. The other main form of payment is credit, which gives immediate access to funds in exchange for repayment at a later date. History There is no evidence to support the theory that ancient civilizations worked on systems of barter. Instead, most historians believe that ancient cultures worked on princi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bid–ask Spread
The bid–ask spread (also bid–offer or bid/ask and buy/sell in the case of a market maker) is the difference between the prices quoted (either by a single market maker or in a Order book (trading), limit order book) for an immediate sale (Ask price, ask) and an immediate purchase (Bid price, bid) for Shares, stocks, futures contracts, Option (finance), options, or currency pairs in some auction scenario. The size of the bid–ask spread in a security is one measure of the liquidity of the market and of the size of the transaction cost. If the spread is 0 then it is a frictionless market, frictionless asset. Liquidity The trader initiating the transaction is said to demand market liquidity, liquidity, and the other party (counterparty) to the transaction supplies liquidity. Liquidity demanders place market orders and liquidity suppliers place limit orders. For a round trip (a purchase and sale together) the liquidity demander pays the spread and the liquidity supplier earns the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Self-financing Portfolio
In financial mathematics, a self-financing portfolio is a portfolio having the feature that, if there is no exogenous infusion or withdrawal of money, the purchase of a new asset must be financed by the sale of an old one. This concept is used to define for example admissible strategies and replicating portfolios, the latter being fundamental for arbitrage-free derivative pricing. Mathematical definition Discrete time Assume we are given a discrete filtered probability space (\Omega,\mathcal,\_^T,P), and let K_t be the solvency cone (with or without transaction costs) at time ''t'' for the market. Denote by L_d^p(K_t) = \. Then a portfolio (H_t)_^T (in physical units, i.e. the number of each stock) is self-financing (with trading on a finite set of times only) if : for all t \in \ we have that H_t - H_ \in -K_t \; P-a.s. with the convention that H_ = 0. If we are only concerned with the set that the portfolio can be at some future time then we can say that H_ \in -K_0 - ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Willingness To Pay
In behavioral economics, willingness to pay (WTP) is the maximum price at or below which a consumer will definitely buy one unit of a product. This corresponds to the standard economic view of a consumer reservation price. Some researchers, however, conceptualize WTP as a range. According to the constructed preference view, consumer willingness to pay is a context-sensitive construct; that is, a consumer's WTP for a product depends on the concrete decision context. For example, consumers tend to be willing to pay more for a soft drink in a luxury hotel resort in comparison to a beach bar or a local retail store. Experimental context In laboratory experiments auctions are conducted, a premise of the experiment is often that "bid = WTP". See also * Cost-benefit analysis * Welfare economics Welfare economics is a field of economics that applies microeconomic techniques to evaluate the overall well-being (welfare) of a society. The principles of welfare economics are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Willingness To Accept
In economics, willingness to accept (WTA) is the minimum monetary amount that а person is willing to accept to sell a good or service, or to bear a negative externality, such as pollution. This is in contrast to ''willingness to pay'' (''WTP''), which is the maximum amount of money a consumer (a ''buyer'') is willing to sacrifice to purchase a good/service or avoid something undesirable. The price of any transaction will thus be any point between a buyer's willingness to pay and a seller's willingness to accept; the net difference is the ''economic surplus''. Several methods exist to measure consumer willingness to accept payment. These methods can be differentiated by whether they measure consumers' hypothetical or actual willingness to accept, and whether they measure it directly or indirectly. Choice modelling techniques may be used to estimate the value of WTA through a choice experiment. Contingent Value techniques are also common and directly ask respondents what they woul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Superhedging Price
The superhedging price is a coherent risk measure. The superhedging price of a portfolio (A) is equivalent to the smallest amount necessary to be paid for an admissible portfolio (B) at the current time so that at some specified future time the value of B is at least as great as A. In a complete market the superhedging price is equivalent to the price for hedging the initial portfolio. Mathematical definition If the set of equivalent martingale measures is denoted by EMM then the superhedging price of a portfolio ''X'' is \rho(-X) where \rho is defined by : \rho(X) = \sup_ \mathbb^Q X/math>. \rho defined as above is a coherent risk measure. Acceptance set The acceptance set for the superhedging price is the negative of the set of values of a self-financing portfolio at the terminal time. That is : A = \. Subhedging price The subhedging price is the greatest value that can be paid so that in any possible situation at the specified future time you have a second portfolio worth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
