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Finance is the study and discipline of money, currency and
capital assets A capital asset is defined as property of any kind held by an assessee, whether connected with their business or profession or not connected with their business or profession. It includes all kinds of property, movable or immovable, tangible or int ...
. It is related to, but not synonymous with economics, the study of production,
distribution Distribution may refer to: Mathematics *Distribution (mathematics), generalized functions used to formulate solutions of partial differential equations *Probability distribution, the probability of a particular value or value range of a varia ...
, and consumption of money, assets, goods and services (the discipline of financial economics bridges the two). Finance activities take place in
financial systems Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of finan ...
at various scopes, thus the field can be roughly divided into
personal Personal may refer to: Aspects of persons' respective individualities * Privacy * Personality * Personal, personal advertisement, variety of classified advertisement used to find romance or friendship Companies * Personal, Inc., a Washington, ...
, corporate, and public finance. In a financial system, assets are bought, sold, or traded as financial instruments, such as currencies, loans, bonds,
shares In financial markets, a share is a unit of equity ownership in the capital stock of a corporation, and can refer to units of mutual funds, limited partnerships, and real estate investment trusts. Share capital refers to all of the shares of an ...
,
stocks Stocks are feet restraining devices that were used as a form of corporal punishment and public humiliation. The use of stocks is seen as early as Ancient Greece, where they are described as being in use in Solon's law code. The law describing ...
,
options Option or Options may refer to: Computing *Option key, a key on Apple computer keyboards *Option type, a polymorphic data type in programming languages * Command-line option, an optional parameter to a command *OPTIONS, an HTTP request method ...
,
futures Futures may mean: Finance *Futures contract, a tradable financial derivatives contract *Futures exchange, a financial market where futures contracts are traded * ''Futures'' (magazine), an American finance magazine Music * ''Futures'' (album), a ...
, etc. Assets can also be banked,
invested Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time. Investment requires a sacrifice of some present asset, such as time, money, or effort. In finance, the purpose of investing i ...
, and insured to maximize value and minimize loss. In practice, risks are always present in any financial action and entities. A broad range of subfields within finance exist due to its wide scope. Asset, money, risk and
investment management Investment management is the professional asset management of various securities, including shareholdings, bonds, and other assets, such as real estate, to meet specified investment goals for the benefit of investors. Investors may be institut ...
aim to maximize value and minimize volatility.
Financial analysis Financial analysis (also known as financial statement analysis, accounting analysis, or analysis of finance) refers to an assessment of the viability, stability, and profitability of a business, sub-business or project. It is performed by profes ...
is viability, stability, and profitability assessment of an action or entity. In some cases, theories in finance can be tested using the scientific method, covered by
experimental finance The goals of experimental finance are to understand human and market behavior in settings relevant to finance. Experiments are synthetic economic environments created by researchers specifically to answer research questions. This might involve, for ...
. Some fields are multidisciplinary, such as
mathematical finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require ...
, financial law, financial economics, financial engineering and financial technology. These fields are the foundation of
business Business is the practice of making one's living or making money by producing or Trade, buying and selling Product (business), products (such as goods and Service (economics), services). It is also "any activity or enterprise entered into for pr ...
and
accounting Accounting, also known as accountancy, is the measurement, processing, and communication of financial and non financial information about economic entities such as businesses and corporations. Accounting, which has been called the "languag ...
. The early history of finance parallels the early history of money, which is
prehistoric Prehistory, also known as pre-literary history, is the period of human history between the use of the first stone tools by hominins 3.3 million years ago and the beginning of recorded history with the invention of writing systems. The use of ...
. Ancient and medieval civilizations incorporated basic functions of finance, such as banking, trading and accounting, into their economies. In the late 19th century, the global financial system was formed. It was in the middle of the 20th century that finance emerged as a distinct academic discipline, separate from economics. (The first academic journal, '' The Journal of Finance'', began publication in 1946.) The earliest doctoral programs in finance were established in the 1960s and 1970s. Finance is widely studied at the undergraduate and masters level.


The financial system

As above, the financial system consists of the flows of capital that take place between individuals and households (
personal finance Personal finance is the financial management which an individual or a family unit performs to budget, save, and spend monetary resources over time, taking into account various financial risks and future life events. When planning personal fi ...
), governments ( public finance), and businesses (
corporate finance Corporate finance is the area of finance that deals with the sources of funding, the capital structure of corporations, the actions that managers take to increase the Value investing, value of the firm to the shareholders, and the tools and anal ...
). "Finance" thus studies the process of channeling money from savers and investors to entities that need it. Savers and investors have money available which could earn interest or dividends if put to productive use. Individuals, companies and governments must obtain money from some external source, such as loans or credit, when they lack sufficient funds to operate. In general, an entity whose income exceeds its expenditure can lend or invest the excess, intending to earn a fair return. Correspondingly, an entity where income is less than expenditure can raise capital usually in one of two ways: (i) by borrowing in the form of a loan (private individuals), or by selling government or corporate bonds; (ii) by a corporation selling
equity Equity may refer to: Finance, accounting and ownership * Equity (finance), ownership of assets that have liabilities attached to them ** Stock, equity based on original contributions of cash or other value to a business ** Home equity, the dif ...
, also called stock or shares (which may take various forms: preferred stock or common stock). The owners of both bonds and stock may be ''
institutional investor An institutional investor is an entity which pools money to purchase securities, real property, and other investment assets or originate loans. Institutional investors include commercial banks, central banks, credit unions, government-linked co ...
s'' financial institutions such as investment banks and pension funds – or private individuals, called '' private investors'' or ''retail investors''. The lending is often indirect, through a financial intermediary such as a bank, or via the purchase of notes or bonds ( corporate bonds, government bonds, or mutual bonds) in the bond market. The lender receives interest, the borrower pays a higher interest than the lender receives, and the financial intermediary earns the difference for arranging the loan. A bank aggregates the activities of many borrowers and lenders. A bank accepts deposits from lenders, on which it pays interest. The bank then lends these deposits to borrowers. Banks allow borrowers and lenders, of different sizes, to coordinate their activity. Investing typically entails the purchase of
stock In finance, stock (also capital stock) consists of all the shares by which ownership of a corporation or company is divided.Longman Business English Dictionary: "stock - ''especially AmE'' one of the shares into which ownership of a company ...
, either individual securities, or via a mutual fund for example. Stocks are usually sold by corporations to investors so as to raise required capital in the form of "
equity financing In finance, equity is ownership of assets that may have debts or other Liability (financial accounting), liabilities attached to them. Equity is measured for accounting purposes by subtracting liabilities from the value of the assets. For exampl ...
", as distinct from the ''debt financing'' described above. The financial intermediaries here are the investment banks. The investment banks find the initial investors and facilitate the listing of the securities, typically shares and bonds. Additionally, they facilitate the securities exchanges, which allow their trade thereafter, as well as the various service providers which manage the performance or risk of these investments. These latter include mutual funds, pension funds, wealth managers, and
stock brokers A stockbroker is a regulated broker, broker-dealer, or registered investment adviser (in the United States) who may provide financial advisory and investment management services and execute transactions such as the purchase or sale of stocks and ...
, typically servicing retail investors (private individuals). Inter-institutional trade and investment, and fund-management at this scale, is referred to as "wholesale finance". Institutions here extend the products offered, with related trading, to include bespoke
options Option or Options may refer to: Computing *Option key, a key on Apple computer keyboards *Option type, a polymorphic data type in programming languages * Command-line option, an optional parameter to a command *OPTIONS, an HTTP request method ...
, swaps, and
structured products A structured product, also known as a market-linked investment, is a pre-packaged structured finance investment strategy based on a single security, a basket of securities, options, indices, commodities, debt issuance or foreign currencies, an ...
, as well as specialized financing; this " financial engineering" is inherently mathematical, and these institutions are then the major employers of "quants" (see
below Below may refer to: *Earth *Ground (disambiguation) *Soil *Floor *Bottom (disambiguation) Bottom may refer to: Anatomy and sex * Bottom (BDSM), the partner in a BDSM who takes the passive, receiving, or obedient role, to that of the top or ...
). In these institutions, risk management, regulatory capital, and
compliance Compliance can mean: Healthcare * Compliance (medicine), a patient's (or doctor's) adherence to a recommended course of treatment * Compliance (physiology), the tendency of a hollow organ to resist recoil toward its original dimensions (this is a ...
play major roles.


Areas of finance

As outlined, finance comprises, broadly, the three areas of personal finance, corporate finance, and public finance. These, in turn, overlap and employ various activities and sub-disciplines chiefly
investment Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time. Investment requires a sacrifice of some present asset, such as time, money, or effort. In finance, the purpose of investing i ...
s, risk management, and
quantitative finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require ...
.


Personal finance

Personal finance is defined as "the mindful planning of monetary spending and saving, while also considering the possibility of future risk". Personal finance may involve paying for education, financing
durable good In economics, a durable good or a hard good or consumer durable is a good that does not quickly wear out or, more specifically, one that yields utility over time rather than being completely consumed in one use. Items like bricks could be consid ...
s such as real estate and cars, buying insurance, investing, and saving for retirement. Personal finance may also involve paying for a loan or other debt obligations. The main areas of personal finance are considered to be income, spending, saving, investing, and protection. The following steps, as outlined by the Financial Planning Standards Board, suggest that an individual will understand a potentially secure personal finance plan after: * Purchasing insurance to ensure protection against unforeseen personal events; * Understanding the effects of tax policies, subsidies, or penalties on the management of personal finances; * Understanding the effects of credit on individual financial standing; * Developing a savings plan or financing for large purchases (auto, education, home); * Planning a secure financial future in an environment of economic instability; * Pursuing a checking and/or a savings account; * Preparing for retirement or other long term expenses.


Corporate finance

Corporate finance deals with the actions that managers take to increase the value of the firm to the shareholders, the sources of funding and the
capital structure In corporate finance, capital structure refers to the mix of various forms of external funds, known as capital, used to finance a business. It consists of shareholders' equity, debt (borrowed funds), and preferred stock, and is detailed in the ...
of corporations, and the tools and analysis used to allocate financial resources. While corporate finance is in principle different from managerial finance, which studies the financial management of all firms rather than corporations alone, the concepts are applicable to the financial problems of all firms,Pamela Drake and Frank Fabozzi (2009)
What Is Finance?
/ref> and this area is then often referred to as "business finance". Typically, then, "corporate finance" relates to the ''long term'' objective of maximizing the value of the entity's assets, its
stock In finance, stock (also capital stock) consists of all the shares by which ownership of a corporation or company is divided.Longman Business English Dictionary: "stock - ''especially AmE'' one of the shares into which ownership of a company ...
, and its return to shareholders, while also balancing risk and profitability. This entails three primary areas: # Capital budgeting: selecting which projects to invest in here, accurately determining value is crucial, as judgements about asset values can be "make or break" #
Dividend policy Dividend policy is concerned with financial policies regarding paying cash dividend in the present or paying an increased dividend at a later stage. Whether to issue dividends, and what amount, is determined mainly on the basis of the company's una ...
: the use of "excess" funds are these to be reinvested in the business or returned to shareholders #
Capital structure In corporate finance, capital structure refers to the mix of various forms of external funds, known as capital, used to finance a business. It consists of shareholders' equity, debt (borrowed funds), and preferred stock, and is detailed in the ...
: deciding on the mix of funding to be used here attempting to find the optimal capital mix re debt-commitments vs
cost of capital In economics and accounting, the cost of capital is the cost of a company's funds (both debt and equity), or from an investor's point of view is "the required rate of return on a portfolio company's existing securities". It is used to evaluate new ...
The latter creates the link with
investment banking Investment banking pertains to certain activities of a financial services company or a corporate division that consist in advisory-based financial transactions on behalf of individuals, corporations, and governments. Traditionally associated wit ...
and securities trading, as above, in that the capital raised will generically comprise debt, i.e.
corporate bond A corporate bond is a bond issued by a corporation in order to raise financing for a variety of reasons such as to ongoing operations, M&A, or to expand business. The term is usually applied to longer-term debt instruments, with maturity of ...
s, and
equity Equity may refer to: Finance, accounting and ownership * Equity (finance), ownership of assets that have liabilities attached to them ** Stock, equity based on original contributions of cash or other value to a business ** Home equity, the dif ...
, often listed shares. Re risk management within corporates, see
below Below may refer to: *Earth *Ground (disambiguation) *Soil *Floor *Bottom (disambiguation) Bottom may refer to: Anatomy and sex * Bottom (BDSM), the partner in a BDSM who takes the passive, receiving, or obedient role, to that of the top or ...
. Financial managers i.e. as distinct from corporate financiers focus more on the ''short term'' elements of profitability, cash flow, and " working capital management" (
inventory Inventory (American English) or stock (British English) refers to the goods and materials that a business holds for the ultimate goal of resale, production or utilisation. Inventory management is a discipline primarily about specifying the shap ...
, credit and
debtor A debtor or debitor is a legal entity (legal person) that owes a debt to another entity. The entity may be an individual, a firm, a government, a company or other legal person. The counterparty is called a creditor. When the counterpart of this ...
s), ensuring that the firm can safely and profitably carry out its financial ''and operational'' objectives; i.e. that it: (1) can service both maturing short-term debt repayments, and scheduled long-term debt payments , and (2) has sufficient cash flow for ongoing and upcoming operational expenses. See and .


Public finance

Public finance describes finance as related to sovereign states, sub-national entities, and related public entities or agencies. It generally encompasses a long-term strategic perspective regarding investment decisions that affect public entities. These long-term strategic periods typically encompass five or more years. Public finance is primarily concerned with: * Identification of required expenditures of a public sector entity; * Source(s) of that entity's revenue; * The
budgeting process A budget is a calculation play, usually but not always financial, for a defined period, often one year or a month. A budget may include anticipated sales volumes and revenues, resource quantities including time, costs and expenses, environmenta ...
; * Sovereign debt issuance, or
municipal bond A municipal bond, commonly known as a muni, is a Bond (finance), bond issued by state or local governments, or entities they create such as authorities and special districts. In the United States, interest income received by holders of municipal ...
s for public works projects. Central banks, such as the Federal Reserve System banks in the United States and the
Bank of England The Bank of England is the central bank of the United Kingdom and the model on which most modern central banks have been based. Established in 1694 to act as the English Government's banker, and still one of the bankers for the Government of ...
in the United Kingdom, are strong players in public finance. They act as lenders of last resort as well as strong influences on monetary and credit conditions in the economy.
Development finance A development financial institution (DFI), also known as a development bank or development finance company (DFC), is a financial institution that provides risk capital for economic development projects on a non-commercial basis. , total commitme ...
, which is related, concerns investment in economic development projects provided by a (quasi) governmental institution on a non-commercial basis; these projects would otherwise not be able to get financing. See . A public–private partnership is primarily used for
infrastructure Infrastructure is the set of facilities and systems that serve a country, city, or other area, and encompasses the services and facilities necessary for its economy, households and firms to function. Infrastructure is composed of public and priv ...
projects: a private sector corporate provides the financing up-front, and then draws profits from taxpayers and/or users.


Investment management

Investment management is the professional asset management of various securities typically shares and bonds, but also other assets, such as real estate, commodities and
alternative investment An alternative investment, also known as an alternative asset or alternative investment fund (AIF), is an investment in any asset class excluding stocks, bonds, and cash. The term is a relatively loose one and includes tangible assets such as ...
s in order to meet specified investment goals for the benefit of investors. As above, investors may be institutions, such as insurance companies, pension funds, corporations, charities, educational establishments, or private investors, either directly via investment contracts or, more commonly, via collective investment schemes like mutual funds, exchange-traded funds, or REITs. At the heart of investment management is asset allocation diversifying the exposure among these asset classes, and among individual securities within each asset class as appropriate to the client's investment policy, in turn, a function of risk profile, investment goals, and investment horizon (see Investor profile). Here: * Portfolio optimization is the process of selecting the best portfolio given the client's objectives and constraints. * Fundamental analysis is the approach typically applied in valuing and evaluating the individual securities. Overlaid is the portfolio manager's
investment style Investment style refers to different style characteristics of equities, bonds or financial derivatives within a given investment philosophy. Theory would favor a combination of big capitalization, passive and value. Of course one could almost ge ...
broadly, active vs passive , value vs growth, and
small cap Market capitalization, sometimes referred to as market cap, is the total value of a publicly traded company's shares outstanding, outstanding common shares owned by stockholders. Market capitalization is equal to the share price, market price p ...
vs. large cap and investment strategy. In a well-diversified portfolio, achieved
investment performance Investment performance is the return on an investment portfolio. The investment portfolio can contain a single asset or multiple assets. The investment performance is measured over a specific period of time and in a specific currency. Investors o ...
will, in general, largely be a function of the asset mix selected, while the individual securities are less impactful. The specific approach or philosophy will also be significant, depending on the extent to which it is complementary with the market cycle. A quantitative fund is managed using computer-based techniques (increasingly, machine learning) instead of human judgment. The actual trading also, is typically automated via sophisticated algorithms.


Risk management

Risk management, in general, is the study of how to control risks and balance the possibility of gains; it is the process of measuring risk and then developing and implementing strategies to manage that risk.
Financial risk management Financial risk management is the practice of protecting economic value in a firm by using financial instruments to manage exposure to financial risk - principally operational risk, credit risk and market risk, with more specific variants as liste ...
is the practice of protecting corporate value by using financial instruments to manage exposure to risk, here called "hedging"; the focus is particularly on credit and market risk, and in banks, through regulatory capital, includes operational risk. * Credit risk is risk of default on a debt that may arise from a borrower failing to make required payments; * Market risk relates to losses arising from movements in market variables such as prices and exchange rates; * Operational risk relates to failures in internal processes, people, and systems, or to external events. Financial risk management is related to corporate finance in two ways. Firstly, firm exposure to market risk is a direct result of previous capital investments and funding decisions; while credit risk arises from the business's credit policy and is often addressed through credit insurance and provisioning. Secondly, both disciplines share the goal of enhancing or at least preserving, the firm's economic value, and in this context overlaps also enterprise risk management, typically the domain of
strategic management In the field of management, strategic management involves the formulation and implementation of the major goals and initiatives taken by an organization's managers on behalf of stakeholders, based on consideration of Resource management, resour ...
. Here, businesses devote much time and effort to forecasting,
analytics Analytics is the systematic computational analysis of data or statistics. It is used for the discovery, interpretation, and communication of meaningful patterns in data. It also entails applying data patterns toward effective decision-making. It ...
and performance monitoring. See also "ALM" and treasury management. For banks and other wholesale institutions, risk management focuses on managing, and as necessary hedging, the various positions held by the institution both trading positions and long term exposures and on calculating and monitoring the resultant
economic capital In finance, mainly for financial services firms, economic capital (ecap) is the amount of risk capital, assessed on a realistic basis, which a firm requires to cover the risks that it is running or collecting as a going concern, such as market r ...
, and regulatory capital under Basel III. The calculations here are mathematically sophisticated, and within the domain of
quantitative finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require ...
as below. Credit risk is inherent in the business of banking, but additionally, these institutions are exposed to counterparty credit risk. Banks typically employ Middle office "Risk Groups" here, whereas front office risk teams provide risk "services" / "solutions" to customers. Additional to diversification the fundamental risk mitigant here investment managers will apply various risk management techniques to their portfolios as appropriate: these may relate to the portfolio as a whole or to individual stocks; bond portfolios are typically managed via
cash flow matching Cash flow matching is a process of hedging in which a company or other entity matches its cash outflows (i.e., financial obligations) with its cash inflows over a given time horizon. It is a subset of immunization strategies in finance. Cash flow ...
or immunization. Re derivative portfolios (and positions), "the Greeks" is a vital risk management tool it measures sensitivity to a small change in a given underlying parameter so that the portfolio can be rebalanced accordingly by including additional derivatives with offsetting characteristics.


Quantitative finance

Quantitative finance also referred to as "mathematical finance" includes those finance activities where a sophisticated mathematical model is required,See discussion here: and thus overlaps several of the above. As a specialized practice area, quantitative finance comprises primarily three sub-disciplines; the underlying theory and techniques are discussed in the next section: #Quantitative finance is often synonymous with financial engineering. This area generally underpins a bank's customer-driven derivatives business delivering bespoke OTC-contracts and "exotics", and designing the various structured products and solutions mentioned and encompasses modeling and programming in support of the initial trade, and its subsequent hedging and management. #Quantitative finance also significantly overlaps
financial risk management Financial risk management is the practice of protecting economic value in a firm by using financial instruments to manage exposure to financial risk - principally operational risk, credit risk and market risk, with more specific variants as liste ...
in banking, as mentioned, both as regards this hedging, and as regards economic capital as well as compliance with regulations and the Basel capital / liquidity requirements. #"Quants" are also responsible for building and deploying the investment strategies at the quantitative funds mentioned; they are also involved in quantitative investing more generally, in areas such as trading strategy formulation, and in automated trading,
high-frequency trading High-frequency trading (HFT) is a type of algorithmic financial trading characterized by high speeds, high turnover rates, and high order-to-trade ratios that leverages high-frequency financial data and electronic trading tools. While there is no ...
,
algorithmic trading Algorithmic trading is a method of executing orders using automated pre-programmed trading instructions accounting for variables such as time, price, and volume. This type of trading attempts to leverage the speed and computational resources of ...
, and program trading.


Financial theory

Financial theory is studied and developed within the disciplines of management, (financial) economics, accountancy and applied mathematics. Abstractly, ''finance'' is concerned with the investment and deployment of assets and liabilities over "space and time"; i.e., it is about performing valuation and asset allocation today, based on the risk and uncertainty of future outcomes while appropriately incorporating the time value of money. Determining the present value of these future values, "discounting", must be at the risk-appropriate discount rate, in turn, a major focus of finance-theory."Finance"
Farlex Financial Dictionary. 2012
Since the debate as to whether finance is an art or a science is still open, there have been recent efforts to organize a
list of unsolved problems in finance This is a list of some of the major unsolved problems, puzzles, or questions in economics. Some of these are theoretical in origin and some of them concern the inability of orthodox economic theory to explain an empirical observation. Capital the ...
.


Managerial finance

Managerial finance is the branch of management that concerns itself with the managerial application of finance techniques and theory, emphasizing the financial aspects of managerial decisions; the assessment is per the managerial perspectives of planning, directing, and controlling. The techniques addressed and developed relate in the main to managerial accounting and
corporate finance Corporate finance is the area of finance that deals with the sources of funding, the capital structure of corporations, the actions that managers take to increase the Value investing, value of the firm to the shareholders, and the tools and anal ...
: the former allow management to better understand, and hence act on, financial information relating to profitability and performance; the latter, as above, are about optimizing the overall financial structure, including its impact on working capital. The ''implementation'' of these techniques i.e. financial management is outlined above. Academics working in this area are typically based in
business school A business school is a university-level institution that confers degrees in business administration or management. A business school may also be referred to as school of management, management school, school of business administration, o ...
finance departments, in
accounting Accounting, also known as accountancy, is the measurement, processing, and communication of financial and non financial information about economic entities such as businesses and corporations. Accounting, which has been called the "languag ...
, or in management science.


Financial economics

Financial economics For an overview, se
"Financial Economics"
William F. Sharpe (Stanford University manuscript)
is the branch of economics that studies the interrelation of financial variables, such as prices, interest rates and shares, as opposed to real economic variables, i.e. goods and services. It thus centers on pricing, decision making, and risk management in the financial markets, and produces many of the commonly employed financial models. ( Financial econometrics is the branch of financial economics that uses econometric techniques to parameterize the relationships suggested.) The discipline has two main areas of focus: See the discussion re finance theory by Fama and Miller under .
asset pricing In financial economics, asset pricing refers to a formal treatment and development of two main Price, pricing principles, outlined below, together with the resultant models. There have been many models developed for different situations, but cor ...
and corporate finance; the first being the perspective of providers of capital, i.e. investors, and the second of users of capital; respectively: * Asset pricing theory develops the models used in determining the risk-appropriate discount rate, and in pricing derivatives; and includes the portfolio- and investment theory applied in asset management. The analysis essentially explores how rational investors would apply risk and return to the problem of
investment Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time. Investment requires a sacrifice of some present asset, such as time, money, or effort. In finance, the purpose of investing i ...
under uncertainty, producing the key " Fundamental theorem of asset pricing". Here, the twin assumptions of
rationality Rationality is the quality of being guided by or based on reasons. In this regard, a person acts rationally if they have a good reason for what they do or a belief is rational if it is based on strong evidence. This quality can apply to an abil ...
and market efficiency lead to modern portfolio theory (the CAPM), and to the Black–Scholes theory for
option valuation In finance, a price (premium) is paid or received for purchasing or selling options. This article discusses the calculation of this premium in general. For further detail, see: for discussion of the mathematics; Financial engineering for the impl ...
. At more advanced levels and often in response to financial crises the study then extends these "Neoclassical" models to incorporate phenomena where their assumptions do not hold, or to more general settings. * Much of corporate finance theory, by contrast, considers investment under " certainty" ( Fisher separation theorem, "theory of investment value", Modigliani–Miller theorem). Here theory and methods are developed for the decisioning about funding, dividends, and capital structure discussed above. A recent development is to incorporate uncertainty and contingency and thus various elements of asset pricing into these decisions, employing for example
real options analysis Real options valuation, also often termed real options analysis,Adam Borison (Stanford University)''Real Options Analysis: Where are the Emperor's Clothes?'' (ROV or ROA) applies option valuation techniques to capital budgeting decisions.Campbe ...
.


Financial mathematics

Financial mathematics Research Area: Financial Mathematics and Engineering
Society for Industrial and Applied Mathematics
is the field of applied mathematics concerned with financial markets; Louis Bachelier's doctoral thesis, defended in 1900, is considered to be the first scholarly work in this area. The field is largely focused on the modeling of derivatives with much emphasis on interest rate- and credit risk modeling while other important areas include insurance mathematics and quantitative portfolio management. Relatedly, the techniques developed are applied to pricing and hedging a wide range of asset-backed, government, and corporate-securities. As above, in terms of practice, the field is referred to as quantitative finance and / or mathematical finance, and comprises primarily the three areas discussed. The main mathematical tools and techniques are, correspondingly: *for derivatives,For a survey, se
"Financial Models"
from Michael Mastro (2013). ''Financial Derivative and Energy Market Valuation'', John Wiley & Sons. .
Itô's stochastic calculus, simulation, and
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s; see aside boxed discussion re the prototypical Black-Scholes and the various numeric techniques now applied *for risk management,See generally, Roy E. DeMeo (N.D.
Quantitative Risk Management: VaR and Others
/ref> value at risk,
stress testing Stress testing (sometimes called torture testing) is a form of deliberately intense or thorough testing used to determine the stability of a given system, critical infrastructure or entity. It involves testing beyond normal operational capacity, ...
, "sensitivities" analysis (applying the "greeks"), and xVA; the underlying mathematics comprises mixture models, PCA, volatility clustering and copulas. *in both of these areas, and particularly for portfolio problems, quants employ sophisticated optimization techniques Mathematically, these separate into two analytic branches: derivatives pricing uses risk-neutral probability (or arbitrage-pricing probability), denoted by "Q"; while risk and portfolio management generally use physical (or actual or actuarial) probability, denoted by "P". These are interrelated through the above "Fundamental theorem of asset pricing". The subject has a close relationship with financial economics, which, as above, is concerned with much of the underlying theory that is involved in financial mathematics: generally, financial mathematics will derive and extend the
mathematical model A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, ...
s suggested. Computational finance is the branch of (applied) computer science that deals with problems of practical interest in finance, and especially emphasizes the numerical methods applied here.


Experimental finance

Experimental finance The goals of experimental finance are to understand human and market behavior in settings relevant to finance. Experiments are synthetic economic environments created by researchers specifically to answer research questions. This might involve, for ...
Bloomfield, Robert and Anderson, Alyssa
"Experimental finance"
. In Baker, H. Kent, and Nofsinger, John R., eds. Behavioral finance: investors, corporations, and markets. Vol. 6. John Wiley & Sons, 2010. pp. 113-131.
aims to establish different market settings and environments to experimentally observe and provide a lens through which science can analyze agents' behavior and the resulting characteristics of trading flows, information diffusion, and aggregation, price setting mechanisms, and returns processes. Researchers in experimental finance can study to what extent existing financial economics theory makes valid predictions and therefore prove them, as well as attempt to discover new principles on which such theory can be extended and be applied to future financial decisions. Research may proceed by conducting trading simulations or by establishing and studying the behavior of people in artificial, competitive, market-like settings.


Behavioral finance

Behavioral finance studies how the '' psychology'' of investors or managers affects financial decisions and markets and is relevant when making a decision that can impact either negatively or positively on one of their areas. With more in-depth research into behavioral finance, it is possible to bridge what actually happens in financial markets with analysis based on financial theory. Behavioral finance has grown over the last few decades to become an integral aspect of finance. Behavioral finance includes such topics as: # Empirical studies that demonstrate significant deviations from classical theories; # Models of how psychology affects and impacts trading and prices; # Forecasting based on these methods; # Studies of experimental asset markets and the use of models to forecast experiments. A strand of behavioral finance has been dubbed
quantitative behavioral finance Quantitative behavioral finance is a new discipline that uses mathematical and statistical methodology to understand behavioral biases in conjunction with valuation. The research can be grouped into the following areas: # Empirical studies that d ...
, which uses mathematical and statistical methodology to understand behavioral biases in conjunction with valuation.


Quantum finance

Quantum finance is an interdisciplinary research field, applying theories and methods developed by quantum physicists and economists in order to solve problems in finance. It is a branch of econophysics. Finance theory is heavily based on financial instrument pricing such as
stock option In finance, an option is a contract which conveys to its owner, the ''holder'', the right, but not the obligation, to buy or sell a specific quantity of an underlying asset or instrument at a specified strike price on or before a specified dat ...
pricing. Many of the problems facing the finance community have no known analytical solution. As a result, numerical methods and computer simulations for solving these problems have proliferated. This research area is known as computational finance. Many computational finance problems have a high degree of computational complexity and are slow to converge to a solution on classical computers. In particular, when it comes to option pricing, there is additional complexity resulting from the need to respond to quickly changing markets. For example, in order to take advantage of inaccurately priced stock options, the computation must complete before the next change in the almost continuously changing stock market. As a result, the finance community is always looking for ways to overcome the resulting performance issues that arise when pricing options. This has led to research that applies alternative computing techniques to finance. Most commonly used quantum financial models are quantum continuous model, quantum binomial model, multi-step quantum binomial model etc.


History of finance

The origin of finance can be traced to the start of civilization. The earliest historical evidence of finance is dated to around 3000 BC. Banking originated in the Babylonian empire, where temples and palaces were used as safe places for the storage of valuables. Initially, the only valuable that could be deposited was grain, but cattle and precious materials were eventually included. During the same period, the Sumerian city of Uruk in Mesopotamia supported trade by lending as well as the use of interest. In Sumerian, "interest" was ''mas'', which translates to "calf". In Greece and Egypt, the words used for interest, ''tokos'' and ''ms'' respectively, meant "to give birth". In these cultures, interest indicated a valuable increase, and seemed to consider it from the lender's point of view. The
Code of Hammurabi The Code of Hammurabi is a Babylonian legal text composed 1755–1750 BC. It is the longest, best-organised, and best-preserved legal text from the ancient Near East. It is written in the Old Babylonian dialect of Akkadian, purportedly by Hamm ...
(1792-1750 BC) included laws governing banking operations. The Babylonians were accustomed to charging interest at the rate of 20 percent per annum. Jews were not allowed to take interest from other Jews, but they were allowed to take interest from Gentiles, who had at that time no law forbidding them from practicing usury. As Gentiles took interest from Jews, the Torah considered it equitable that Jews should take interest from Gentiles. In Hebrew, interest is ''neshek''. By 1200 BC, cowrie shells were used as a form of money in
China China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and ...
. By 640 BC, the Lydians had started to use coin money. Lydia was the first place where permanent retail shops opened. (Herodotus mentions the use of crude coins in Lydia in an earlier date, around 687 BC.) The use of coins as a means of representing money began in the years between 600 and 570 BCE. Cities under the Greek empire, such as Aegina (595 BCE), Athens (575 BCE), and Corinth (570 BCE), started to mint their own coins. In the Roman Republic, interest was outlawed altogether by the ''Lex Genucia'' reforms. Under
Julius Caesar Gaius Julius Caesar (; ; 12 July 100 BC – 15 March 44 BC), was a Roman general and statesman. A member of the First Triumvirate, Caesar led the Roman armies in the Gallic Wars before defeating his political rival Pompey in a civil war, and ...
, a ceiling on interest rates of 12% was set, and later under Justinian it was lowered even further to between 4% and 8%. It's said Belgium is the place where the first exchange happened back in approximately 1531. Since, popular exchanges such as the London Stock Exchange (founded in 1773) and the New York Stock Exchange (founded in 1793) were created.


Image gallery

File:Babylonian - Economic Document - Walters 482030 - View A.jpg,
Babylonian tablet In the Ancient Near East, clay tablets (Akkadian ) were used as a writing medium, especially for writing in cuneiform, throughout the Bronze Age and well into the Iron Age. Cuneiform characters were imprinted on a wet clay tablet with a stylus ...
, part of the economic archives of the temple of the sky-god
Anu Anu ( akk, , from wikt:𒀭#Sumerian, 𒀭 ''an'' “Sky”, “Heaven”) or Anum, originally An ( sux, ), was the sky father, divine personification of the sky, king of the gods, and ancestor of many of the list of Mesopotamian deities, dei ...
and fertility-goddess Ishtar at Uruk, recording a payment made in c. 549 BC File:Emanuel de Witte - De binnenplaats van de beurs te Amsterdam.jpg, alt=Courtyard of the Amsterdam Stock Exchange, 1653, the world's first formal stock exchange., Courtyard of the
Amsterdam Stock Exchange Euronext Amsterdam is a stock exchange based in Amsterdam, the Netherlands. Formerly known as the Amsterdam Stock Exchange, it merged on 22 September 2000 with the Brussels Stock Exchange and the Paris Stock Exchange to form Euronext. The r ...
, 1653, the world's first formal
stock exchange A stock exchange, securities exchange, or bourse is an exchange where stockbrokers and traders can buy and sell securities, such as shares of stock, bonds and other financial instruments. Stock exchanges may also provide facilities for th ...
File:Dojima-Rice-Exchange-Osaka-by-Yoshimitsu-Sasaki.png, alt=Dōjima Rice Exchange, the world's first futures exchange, established in Osaka in 1697., Dōjima Rice Exchange, the world's first futures exchange, established in Osaka in 1697


See also

* Outline of finance * Financial crisis of 2007–2010


Notes


References


Further reading

* * *'' Rich Dad Poor Dad: What the Rich Teach Their Kids About Money That the Poor and Middle Class Do Not!'', by Robert Kiyosaki and Sharon Lechter.
Warner Business Books Hachette Book Group (HBG) is a publishing company owned by Hachette Livre, the largest publishing company in France, and the third largest trade and educational publisher in the world. Hachette Livre is a wholly owned subsidiary of Lagardère Grou ...
, 2000. * * * * *


External links


Finance Definition - Investopedia

Finance Definition - Corporate Finance Institute


(
Campbell Harvey Campbell Russell "Cam" Harvey (born June 23, 1958) is a Canadian economist, known for his work on asset allocation with changing risk and risk premiums and the problem of separating luck from skill in investment management. He is currently the J. ...
)
Corporate finance resources
( Aswath Damodaran)
Financial management resources
( James Van Horne)
Financial mathematics, derivatives, and risk management resources
(Don Chance)
Personal finance resources
( Financial Literacy and Education Commission, mymoney.gov)
Public Finance resources
(Governance and Social Development Resource Centre, gsdrc.org) {{Authority control