Risk measureIn financial mathematics, a risk measure is used to determine the amount of an asset or set of assets (traditionally currency) to be kept in reserve. The purpose of this reserve is to make the risks taken by financial institutions, such as banks and insurance companies, acceptable to the regulator. In recent years attention has turned towards convex and coherent risk measurement. A risk measure is defined as a mapping from a set of random variables to the real numbers. This set of random variables represents portfolio returns.
Fundamental Review of the Trading BookThe Fundamental Review of the Trading Book (FRTB), is a set of proposals by the Basel Committee on Banking Supervision for a new market risk-related capital requirement for banks. The reform, which is part of Basel III, is one of the initiatives taken to strengthen the financial system, noting that the previous proposals (Basel II) did not prevent the financial crisis of 2007–2008. It was first published as a Consultative Document in October 2013.
Economic capitalIn 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 risk, credit risk, legal risk, and operational risk. It is the amount of money that is needed to secure survival in a worst-case scenario. Firms and financial services regulators should then aim to hold risk capital of an amount equal at least to economic capital.
Liquidity riskLiquidity risk is a financial risk that for a certain period of time a given financial asset, security or commodity cannot be traded quickly enough in the market without impacting the market price. Market liquidity – An asset cannot be sold due to lack of liquidity in the market – essentially a sub-set of market risk.
Quantitative analysis (finance)Quantitative analysis is the use of mathematical and statistical methods in finance and investment management. Those working in the field are quantitative analysts (quants). Quants tend to specialize in specific areas which may include derivative structuring or pricing, risk management, investment management and other related finance occupations. The occupation is similar to those in industrial mathematics in other industries.
Distortion risk measureIn financial mathematics and economics, a distortion risk measure is a type of risk measure which is related to the cumulative distribution function of the return of a financial portfolio. The function associated with the distortion function is a distortion risk measure if for any random variable of gains (where is the Lp space) then where is the cumulative distribution function for and is the dual distortion function . If almost surely then is given by the Choquet integral, i.e.
Entropic value at riskIn financial mathematics and stochastic optimization, the concept of risk measure is used to quantify the risk involved in a random outcome or risk position. Many risk measures have hitherto been proposed, each having certain characteristics. The entropic value at risk (EVaR) is a coherent risk measure introduced by Ahmadi-Javid, which is an upper bound for the value at risk (VaR) and the conditional value at risk (CVaR), obtained from the Chernoff inequality. The EVaR can also be represented by using the concept of relative entropy.
Basel AccordsThe Basel Accords refer to the banking supervision accords (recommendations on banking regulations) issued by the Basel Committee on Banking Supervision (BCBS). Basel I was developed through deliberations among central bankers from major countries. In 1988, the Basel Committee published a set of minimum capital requirements for banks. This is also known as the 1988 Basel Accord, and was enforced by law in the Group of Ten (G-10) countries in 1992. A new set of rules known as Basel II was developed and published in 2004 to supersede the Basel I accords.
Capital requirementA capital requirement (also known as regulatory capital, capital adequacy or capital base) is the amount of capital a bank or other financial institution has to have as required by its financial regulator. This is usually expressed as a capital adequacy ratio of equity as a percentage of risk-weighted assets. These requirements are put into place to ensure that these institutions do not take on excess leverage and risk becoming insolvent. Capital requirements govern the ratio of equity to debt, recorded on the liabilities and equity side of a firm's balance sheet.
Nassim Nicholas TalebNassim Nicholas Taleb (ˈtɑːləb; alternatively Nessim or Nissim; born 12 September 1960) is a Lebanese-American essayist, mathematical statistician, former option trader, risk analyst, and aphorist whose work concerns problems of randomness, probability, and uncertainty. Taleb is the author of the Incerto, a five-volume philosophical essay on uncertainty published between 2001 and 2018 (notably, The Black Swan and Antifragile).
