Exponential utilityIn economics and finance, exponential utility is a specific form of the utility function, used in some contexts because of its convenience when risk (sometimes referred to as uncertainty) is present, in which case expected utility is maximized. Formally, exponential utility is given by: is a variable that the economic decision-maker prefers more of, such as consumption, and is a constant that represents the degree of risk preference ( for risk aversion, for risk-neutrality, or for risk-seeking).
ContractA contract is an agreement that specifies certain legally enforceable rights and obligations pertaining to two or more mutually agreeing parties. A contract typically involves the transfer of goods, services, money, or a promise to transfer any of those at a future date. In the event of a breach of contract, the injured party may seek judicial remedies such as damages or rescission. A binding agreement between actors in international law is known as a treaty.
Convex optimizationConvex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets). Many classes of convex optimization problems admit polynomial-time algorithms, whereas mathematical optimization is in general NP-hard.
Mathematical optimizationMathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries.
Agent-based modelAn agent-based model (ABM) is a computational model for simulating the actions and interactions of autonomous agents (both individual or collective entities such as organizations or groups) in order to understand the behavior of a system and what governs its outcomes. It combines elements of game theory, complex systems, emergence, computational sociology, multi-agent systems, and evolutionary programming. Monte Carlo methods are used to understand the stochasticity of these models.
PaymentA payment is the voluntary tender of money or its equivalent or of things of value by one party (such as a person or company) to another in exchange for goods or services provided by them, or to fulfill a legal obligation/philanthropy desire. The party making the payment is commonly called the payer, while the payee is the party receiving the payment. Payments can be effected in a number of ways, for example: the use of money, cheque, or debit, credit, or bank transfers, whether through mobile payment or otherwise the transfer of anything of value, such as stock, or using barter, or personal data, the exchange of one good or service for another.
Payment systemA payment system is any system used to settle financial transactions through the transfer of monetary value. This includes the institutions, payment instruments such as payment cards, people, rules, procedures, standards, and technologies that make its exchange possible. A common type of payment system, called an operational network, links bank accounts and provides for monetary exchange using bank deposits. Some payment systems also include credit mechanisms, which are essentially a different aspect of payment.
Mobile paymentA mobile payment, also referred to as mobile money, mobile money transfer and mobile wallet, is any of various payment processing services operated under financial regulations and performed from or via a mobile device, as the cardinal class of digital wallet. Instead of paying with cash, cheque, or credit cards, a consumer can use a payment app on a mobile device to pay for a wide range of services and digital or hard goods.
Freedom of contractFreedom of contract is the process in which individuals and groups form contracts without government restrictions. This is opposed to government regulations such as minimum-wage laws, competition laws, economic sanctions, restrictions on price fixing, or restrictions on contracting with undocumented workers. The freedom to contract is the underpinning of laissez-faire economics and is a cornerstone of free-market libertarianism.
E-commerce payment systemAn e-commerce payment system (or an electronic payment system) facilitates the acceptance of electronic payment for offline transfer, also known as a subcomponent of electronic data interchange (EDI), e-commerce payment systems have become increasingly popular due to the widespread use of the internet-based shopping and banking. Credit cards remain the most common forms of payment for e-commerce transactions. As of 2008, in North America, almost 90% of online retail transactions were made with this payment type.
Quasi-contractA quasi-contract (or implied-in-law contract or constructive contract) is a fictional contract recognised by a court. The notion of a quasi-contract can be traced to Roman law and is still a concept used in some modern legal systems. Quasi contract laws have been deduced from the Latin statement "Nemo debet locupletari ex aliena jactura", which proclaims that no man should grow rich out of another person's loss. It was one of the central doctrines of Roman law.
Risk premiumA risk premium is a measure of excess return that is required by an individual to compensate being subjected to an increased level of risk. It is used widely in finance and economics, the general definition being the expected risky return less the risk-free return, as demonstrated by the formula below. Where is the risky expected rate of return and is the risk-free return. The inputs for each of these variables and the ultimate interpretation of the risk premium value differs depending on the application as explained in the following sections.
