Financial risk modeling is the use of formal
mathematical
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
and
econometric
Econometrics is an application of statistical methods to economic data in order to give empirical content to economic relationships. M. Hashem Pesaran (1987). "Econometrics", '' The New Palgrave: A Dictionary of Economics'', v. 2, p. 8 p. 8� ...
techniques to measure, monitor and control the
market risk
Market risk is the risk of losses in positions arising from movements in market variables like prices and volatility.
There is no unique classification as each classification may refer to different aspects of market risk. Nevertheless, the m ...
,
credit risk
Credit risk is the chance that a borrower does not repay a loan
In finance, a loan is the tender of money by one party to another with an agreement to pay it back. The recipient, or borrower, incurs a debt and is usually required to pay ...
, and
operational risk
Operational risk is the risk of losses caused by flawed or failed processes, policies, systems or events that disrupt business operations. Employee errors, criminal activity such as fraud, and physical events are among the factors that can tri ...
on a firm's
balance sheet
In financial accounting, a balance sheet (also known as statement of financial position or statement of financial condition) is a summary of the financial balances of an individual or organization, whether it be a sole proprietorship, a business ...
, on a bank's accounting ledger of tradeable financial assets, or of a
fund manager's portfolio value; see
Financial risk management
Financial risk management is the practice of protecting Value (economics), economic value in a business, firm by managing exposure to financial risk - principally credit risk and market risk, with more specific variants as listed aside - as well ...
.
Risk modeling is one of many subtasks within the broader area of
financial modeling
Financial modeling is the task of building an abstract representation (a model) of a real world financial situation. This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or portfolio o ...
.
Application
Risk modeling uses a variety of techniques including
market risk
Market risk is the risk of losses in positions arising from movements in market variables like prices and volatility.
There is no unique classification as each classification may refer to different aspects of market risk. Nevertheless, the m ...
,
value at risk (VaR),
historical simulation (HS), or
extreme value theory
Extreme value theory or extreme value analysis (EVA) is the study of extremes in statistical distributions.
It is widely used in many disciplines, such as structural engineering, finance, economics, earth sciences, traffic prediction, and Engin ...
(EVT) in order to analyze a portfolio and make forecasts of the likely losses that would be incurred for a variety of risks. As above, such risks are typically grouped into
credit risk
Credit risk is the chance that a borrower does not repay a loan
In finance, a loan is the tender of money by one party to another with an agreement to pay it back. The recipient, or borrower, incurs a debt and is usually required to pay ...
,
market risk
Market risk is the risk of losses in positions arising from movements in market variables like prices and volatility.
There is no unique classification as each classification may refer to different aspects of market risk. Nevertheless, the m ...
,
model risk,
liquidity risk
Liquidity 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.
Types
Market liquidity – An asset cannot be ...
, and
operational risk
Operational risk is the risk of losses caused by flawed or failed processes, policies, systems or events that disrupt business operations. Employee errors, criminal activity such as fraud, and physical events are among the factors that can tri ...
categories.
Many large financial intermediary firms use risk modeling to help portfolio managers assess the amount of
capital reserves to maintain, and to help guide their purchases and sales of various classes of
financial assets.
Formal risk modeling is required under the
Basel II proposal for all the major international banking institutions by the various national depository institution regulators. In the past, risk analysis was done qualitatively but now with the advent of powerful computing software, quantitative risk analysis can be done quickly and effortlessly.
Criticism
Modeling the changes by distributions with finite variance is now known to be inappropriate.
Benoît Mandelbrot
Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of #Fractals and the ...
found in the 1960s that changes in prices in financial markets do not follow a
Gaussian distribution
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real number, real-valued random variable. The general form of its probability density function is
f(x ...
, but are rather modeled better by
Lévy stable distributions. The scale of change, or volatility, depends on the length of the time interval to a
power a bit more than 1/2. Large changes up or down, also called ''
fat tails'', are more likely than what one would calculate using a Gaussian distribution with an estimated
standard deviation
In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its Expected value, mean. A low standard Deviation (statistics), deviation indicates that the values tend to be close to the mean ( ...
.
Quantitative risk analysis
In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environ ...
and its modeling have been under question in the light of corporate scandals in the past few years (most notably, Enron
Enron Corporation was an American Energy development, energy, Commodity, commodities, and services company based in Houston, Texas. It was led by Kenneth Lay and developed in 1985 via a merger between Houston Natural Gas and InterNorth, both re ...
), Basel II, the revised FAS 123R and the Sarbanes–Oxley Act
The Sarbanes–Oxley Act of 2002 is a United States federal law that mandates certain practices in financial record keeping and reporting for corporations. The act, , also known as the "Public Company Accounting Reform and Investor Protectio ...
, and for their failure to predict the 2008 financial crisis
The 2008 financial crisis, also known as the global financial crisis (GFC), was a major worldwide financial crisis centered in the United States. The causes of the 2008 crisis included excessive speculation on housing values by both homeowners ...
.[ From The Economist print edition.]
Rapid development of financial innovations lead to sophisticated models that are based on a set of assumptions. These models are usually prone to model risk. There are several approaches to deal with model uncertainty. Jokhadze and Schmidt (2018) propose practical model risk measurement framework based on Bayesian calculation. They introduce superposed risk measures that enables consistent market and model risk measurement.
Jon Danielsson argues that risk forecasts are very inaccurate, especially in typical sample sizes, and i
concerned about their use in regulations
See also
* Black–Scholes model
The Black–Scholes or Black–Scholes–Merton model is a mathematical model for the dynamics of a financial market containing Derivative (finance), derivative investment instruments. From the parabolic partial differential equation in the model, ...
* Financial risk management
Financial risk management is the practice of protecting Value (economics), economic value in a business, firm by managing exposure to financial risk - principally credit risk and market risk, with more specific variants as listed aside - as well ...
* Knightian uncertainty
* Financial modeling
Financial modeling is the task of building an abstract representation (a model) of a real world financial situation. This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or portfolio o ...
* Value-at-Risk
* Managerial risk accounting
Bibliography
*
* Machina, Mark J., and Michael Rothschild (1987). "Risk," '' The New Palgrave: A Dictionary of Economics'', v. 4, pp. 201–206.
*
References
External links
Risk World
is a web site devoted to risk, with a collection of books.
A Stochastic Processes toolkit for Risk Management
at SSNR.com is a tutorial paper by Damiano Brigo, Antonio Dalessandro, Matthias Neugebauer and Fares Triki, explaining how to use different stochastic processes for risk measurement.
{{Financial risk
Actuarial science