Financial risk management

Practice of protecting economic value in a firm by managing exposure to financial risk

Categories of

Financial risk
Credit risk

* Settlement risk
* Concentration risk
* Sovereign risk
* Default risk

Market risk

* Interest rate risk
* Inflation risk
* Currency risk
* Equity risk
* Commodity risk
* Volatility risk
* Systemic risk

Liquidity risk

* Refinancing risk
* Deposit risk
* Margining risk

Investment risk

* Model risk
* Execution risk
* Valuation risk

Business risk

* Reputational risk
* Operational risk
* Country risk
* Political risk
* Legal risk
* Moral hazard

Profit risk
Non-financial risk

* Stranded asset

* v
* t
* e

Institutions

* American Risk and Insurance Association
* Association of Insurance and Risk Managers in Industry and Commerce
* Global Association of Risk Professionals
* Global Risk Institute
* Institute of Risk Management
* Professional Risk Managers' International Association
* Risk and Insurance Management Society

Certifications

* Certificate in Quantitative Finance (CQF)
* Certified Risk Analyst (CRA)
* Certified Risk Management Professional (RIMS-CRMP)
* Certified Risk Professional (MIRM designation)
* Chartered Enterprise Risk Analyst (CERA; Society of Actuaries)
* Chartered Enterprise Risk Actuary (CERA; Institute and Faculty of Actuaries)
* Financial Risk Manager (FRM)
* Professional Risk Manager (PRM)

Financial risk management is the practice of protecting economic value in a firm by managing exposure to financial risk \- principally credit risk and market risk, with more specific variants as listed aside - as well as some aspects of operational risk. As for risk management more generally, financial risk management requires identifying the sources of risk, measuring these, and crafting plans to mitigate them.[1][2] See Finance § Risk management for an overview.

Financial risk management as a "science" can be said to have been born[3] with modern portfolio theory, particularly as initiated by Professor Harry Markowitz in 1952 with his article, "Portfolio Selection";[4] see Mathematical finance § Risk and portfolio management: the P world.

The discipline can be qualitative and quantitative; as a specialization of risk management, however, financial risk management focuses more on when and how to hedge,[5] often using financial instruments to manage costly exposures to risk.[6]

* In the banking sector worldwide, the Basel Accords are generally adopted by internationally active banks for tracking, reporting and exposing operational, credit and market risks.[7][8]
* Within non-financial corporates,[9][10] the scope is broadened to overlap enterprise risk management, and financial risk management then addresses risks to the firm's overall strategic objectives.
* Insurers manage their own risks with a focus on solvency and the ability to pay claims.[11] For expected claims, reserves are set aside periodically, while to absorb unexpected losses, a minimum level of capital is maintained.
* In investment management[12] risk is managed through diversification and related optimization; while further specific techniques are then applied to the portfolio or to individual stocks as appropriate.

In all cases, the last "line of defence" against risk is capital, "as it ensures that a firm can continue as a going concern even if substantial and unexpected losses are incurred".[13]

## Economic perspective

[edit]

Neoclassical finance theory prescribes that (1) a firm should take on a project only if it increases shareholder value.[14] Further, the theory suggests that (2) firm managers cannot create value for shareholders or investors by taking on projects that shareholders could do for themselves at the same cost; see Theory of the firm and Fisher separation theorem.

Given these, there is therefore a fundamental debate relating to "Risk Management" and shareholder value.[5][15][16] The discussion essentially weighs the value of risk management in a market versus the cost of bankruptcy in that market: per the Modigliani and Miller framework, hedging is irrelevant since diversified shareholders are assumed to not care about firm-specific risks, whereas, on the other hand hedging is seen to create value in that it reduces the probability of financial distress.

When applied to financial risk management, this implies that firm managers should not hedge risks that investors can hedge for themselves at the same cost.[5] This notion is captured in the so-called "hedging irrelevance proposition":[17] "In a perfect market, the firm cannot create value by hedging a risk when the price of bearing that risk within the firm is the same as the price of bearing it outside of the firm."

In practice, however, financial markets are not likely to be perfect markets.[18][19][20][21] This suggests that firm managers likely have many opportunities to create value for shareholders using financial risk management, wherein they are able to determine which risks are cheaper for the firm to manage than for shareholders. Here, market risks that result in unique risks for the firm are commonly the best candidates for financial risk management.[22]

## Application

[edit]

As outlined, businesses are exposed, in the main, to market, credit and operational risk. A broad distinction[13] exists though, between financial institutions and non-financial firms - and correspondingly, the application of risk management will differ. Respectively:[13] For Banks and Fund Managers, "credit and market risks are taken intentionally with the objective of earning returns, while operational risks are a byproduct to be controlled". For non-financial firms, the priorities are reversed, as "the focus is on the risks associated with the business" - ie the production and marketing of the services and products in which expertise is held \- and their impact on revenue, costs and cash flow, "while market and credit risks are usually of secondary importance as they are a byproduct of the main business agenda". (See related discussion re valuing financial services firms as compared to other firms.) In all cases, as above, risk capital is the last "line of defence".

### Banking

[edit]

Further information: Bank § Capital and risk, and Shadow banking system § Risks or vulnerability

Banks and other wholesale institutions face various financial risks in conducting their business, and how well these risks are managed and understood is a key driver [23] behind profitability, as well as of the quantum of capital they are required to hold.[24] Financial risk management in banking has thus grown markedly in importance since the Financial crisis of 2007–2008.[25] (This has given rise[25] to dedicated degrees and professional certifications.)

The broad distinction between Investment Banks, on the one hand, and Commercial and Retail Banks on the other, carries through to the management of risk at these institutions. Investment Banks profit from (proprietary) trading, and earn fees from structuring and deal making; the latter includes listing securities so as to raise funding in the capital markets (and supporting these thereafter), as well as directly providing debt-funding for major corporate "projects". The major focus for risk managers here is therefore on market and credit risk. Commercial and Retail Banks, as deposit taking institutions, profit from the spread between deposit and loan rates. The focus of risk management is then on loan defaults from individuals or businesses, and on having enough liquid assets to meet withdrawal demands; market risk concerns, mainly, the impact of interest rate changes on net interest margins.

All banks will focus also on operational risk, impacting here (at least) through regulatory capital; (large) banks are also exposed to Macroeconomic systematic risk \- risks related to the aggregate economy the bank is operating in[26] (see Too big to fail).

#### Investment banking

[edit]

The 5% Value at Risk of a hypothetical profit-and-loss probability density function Specific banking frameworks

Market risk

* FRTB
* Internal models approach (IMA)
* Standardized approach (market risk)

Credit risk

* Internal ratings-based approach (IRB)
* Foundation IRB (F-IRB)
* Advanced IRB (A-IRB)
* Standardized approach (credit risk)

Counterparty credit risk

* Current exposure method (CEM)
* Standardised method (SM)
* Standardized approach (counterparty credit risk) (SA-CCR)

Operational risk

* Advanced measurement approach (AMA)
* Basic indicator approach
* Standardized approach (operational risk)
* Standardised measurement approach (SMA)

* v
* t
* e

Further information: Investment banking § Risk management

See also: Derivative (finance) § Risks, Interest rate swap § Risks, Option (finance) § Risks, Value at risk § VaR risk management, and Corporate bond § Risk analysis

For investment banks \- as outlined - the major focus is on credit and market risk. Credit risk is inherent in the business of banking, but additionally, these institutions are exposed to counterparty credit risk. Both are to some extent offset by margining and collateral; and the management is of the net-position.

The discipline [27] [28] [7] [8] is, as discussed, simultaneously concerned with (i) managing, and as necessary hedging, the various positions held by the institution - both trading positions and long term exposures; and (ii) calculating and monitoring the resultant economic capital, as well as the regulatory capital under Basel III — which, importantly, covers also leverage and liquidity — with regulatory capital as a floor.

Correspondingly, and broadly, the analytics [28][27] are based as follows: For (i) on the "Greeks", the sensitivity of the price of a derivative to a change in its underlying factors; as well as on the various other measures of sensitivity, such as DV01 for the sensitivity of a bond or swap to interest rates, and CS01 or JTD for exposure to credit spread. For (ii) on value at risk, or "VaR", an estimate of how much the investment or area in question might lose with a given probability in a set time period, with the bank holding "economic"- or "risk capital" correspondingly; common parameters are 99% and 95% worst-case losses - i.e. 1% and 5% - and one day and two week (10 day) horizons.[29] These calculations are mathematically sophisticated, and within the domain of quantitative finance.

The regulatory capital quantum is calculated via specified formulae: risk weighting the exposures per highly standardized asset-categorizations, applying the aside frameworks, and the resultant capital — at least 12.9%[30] of these Risk-weighted assets (RWA) — must then be held in specific "tiers" and is measured correspondingly via the various capital ratios. In certain cases, banks are allowed to use their own estimated risk parameters here; these "internal ratings-based models" typically result in less required capital, but at the same time are subject to strict minimum conditions and disclosure requirements. As mentioned, additional to the capital covering RWA, the aggregate balance sheet will require capital for leverage and liquidity; this is monitored via[31] the LR, LCR, and NSFR ratios.

The financial crisis exposed holes in the mechanisms used for hedging (see Fundamental Review of the Trading Book § Background, Tail risk § Role of the 2007–2008 financial crisis, Value at risk § Criticism, and Basel III § Criticism). As such, the methodologies employed have had to evolve, both from a modelling point of view, and in parallel, from a regulatory point of view.

Regarding the modelling, changes corresponding to the above are: (i) For the daily direct analysis of the positions at the desk level, as a standard, measurement of the Greeks now inheres the volatility surface — through local- or stochastic volatility models — while re interest rates, discounting and analytics are under a "multi-curve framework". Derivative pricing now embeds considerations re counterparty risk and funding risk, amongst others,[32] through the CVA and XVA "valuation adjustments"; these also carry regulatory capital. (ii) For Value at Risk, the traditional parametric and "Historical" approaches, are now supplemented[33][28] with the more sophisticated Conditional value at risk / expected shortfall, Tail value at risk, and Extreme value theory. For the underlying mathematics, these may utilize mixture models, PCA, volatility clustering, copulas, and other techniques.[34] Extensions to VaR include Margin-, Liquidity-, Earnings- and Cash flow at risk, as well as Liquidity-adjusted VaR. For both (i) and (ii), model risk is addressed[35] through regular validation of the models used by the bank's various divisions; for VaR models, backtesting is especially employed.

Regulatory changes, are also twofold. The first change, entails an increased emphasis[36] on bank stress tests.[37] These tests, essentially a simulation of the balance sheet for a given scenario, are typically linked to the macroeconomics, and provide an indicator of how sensitive the bank is to changes in economic conditions, whether it is sufficiently capitalized, and of its ability to respond to market events. The second set of changes, sometimes called "Basel IV", entails the modification of several regulatory capital standards (CRR III is the EU implementation). In particular FRTB addresses market risk, and SA-CCR addresses counterparty risk; other modifications are being phased in from 2023.

To operationalize the above, Investment banks, particularly, employ dedicated "Risk Groups", i.e. Middle Office teams monitoring the firm's risk-exposure to, and the profitability and structure of, its various business units, products, asset classes, desks, and / or geographies.[38] By increasing order of aggregation:

1. Financial institutions will set[39][27][40] limit values for each of the Greeks, or other sensitivities, that their traders must not exceed, and traders will then hedge, offset, or reduce periodically if not daily; see the techniques listed below. These limits are set given a range [41] of plausible changes in prices and rates, coupled with the board-specified risk appetite[42] re overnight-losses.[43]
2. Desks, or areas, will similarly be limited as to their VaR quantum (total or incremental, and under various calculation regimes), corresponding to their allocated [44] economic capital; a loss which exceeds the VaR threshold is termed a "VaR breach". RWA - with other regulatory results - is correspondingly monitored from desk level[39] and upward.
3. Each area's (or desk's) concentration risk will be checked[45][38][46] against thresholds set for various types of risk, and / or re a single counterparty, sector or geography.
4. Leverage will be monitored, at very least re regulatory requirements via LR, the Leverage Ratio, as leveraged positions could lose large amounts for a relatively small move in the price of the underlying.
5. Relatedly,[31] liquidity risk is monitored: LCR, the Liquidity Coverage Ratio, measures the ability of the bank to survive a short-term stress, covering its total net cash outflows over the next 30 days with "high quality liquid assets"; NSFR, the Net Stable Funding Ratio, assesses its ability to finance assets and commitments within a year (addressing also, maturity transformation risk). Any "gaps", also, must be managed.[47]
6. Systemically Important Banks hold additional capital such that their total loss absorbency capacity, TLAC, is sufficient[48] given both RWA and leverage. (See also "MREL"[49] for EU institutions.)

Periodically,[50] these all are estimated under a given stress scenario — regulatory and,[51] often, internal — and risk capital,[23] together with these limits if indicated,[23][52] is correspondingly revisited (or optimized[53]). The approaches taken center either on a hypothetical or historical scenario,[36][28] and may apply increasingly sophisticated mathematics[54][28] to the analysis. More generally, these tests provide estimates for scenarios beyond the VaR thresholds, thus “preparing for anything that might happen, rather than worrying about precise likelihoods".[55] A reverse stress test, in fact, starts from the point at which "the institution can be considered as failing or likely to fail... and then explores scenarios and circumstances that might cause this to occur".[56]

A key practice,[57] incorporating and assimilating the above, is to assess the Risk-adjusted return on capital, RAROC, of each area (or product). Here,[58] "economic profit" is divided by allocated-capital; and this result is then compared[58][24] to the target-return for the area — usually, at least the equity holders' expected returns on the bank stock[58] — and identified under-performance can then be addressed. (See similar below re. DuPont analysis.) The numerator, risk-adjusted return, is realized trading-return less a term and risk appropriate funding cost as charged by Treasury to the business-unit under the bank's funds transfer pricing (FTP) framework;[59] direct costs are (sometimes) also subtracted.[57] The denominator is the area's allocated capital, as above, increasing as a function of position risk;[60][61][57] several allocation techniques exist.[44] RAROC is calculated both ex post as discussed, used for performance evaluation (and related bonus calculations), and ex ante \- i.e. expected return less expected loss \- to decide whether a particular business unit should be expanded or contracted.[62]

Other teams, overlapping the above Groups, are then also involved in risk management. Corporate Treasury is responsible for monitoring overall funding and capital structure; it shares responsibility for monitoring liquidity risk, and for maintaining the FTP framework. Middle Office maintains the following functions also: Product Control is primarily responsible for insuring traders mark their books to fair value — a key protection against rogue traders — and for "explaining" the daily P&L; with the "unexplained" component, of particular interest to risk managers. Credit Risk monitors the bank's debt-clients on an ongoing basis, re both exposure and performance. In the Front Office \- since counterparty and funding-risks span assets, products, and desks - specialized XVA-desks are tasked with centrally monitoring and managing overall CVA and XVA exposure and capital, typically with oversight from the appropriate Group.[32] "Stress Testing" may similarly be centralized.

Performing the above tasks — while simultaneously ensuring that computations are consistent [63] over the various areas, products, teams, and measures — requires that banks maintain a significant investment [64] in sophisticated infrastructure, finance / risk software, and dedicated staff. Risk software often deployed is from FIS, Kamakura, Murex, Numerix (FINCAD) and Refinitiv. Large institutions may prefer systems developed entirely "in house" \- notably [65] Goldman Sachs ("SecDB"), JP Morgan ("Athena"), Jane Street, Barclays ("BARX"), BofA ("Quartz") - while, more commonly, the pricing library will be developed internally, especially as this allows for currency re new products or market features.

#### Commercial and retail banking

[edit]

Risk taxonomy for retail and commercial banks

See also: Bank failure

Further information: Financial institution § Regulation, and Volcker Rule

Commercial and retail banks [66] [67] [68] [69] are, by nature, more conservative than Investment banks, earning steady income from lending and deposits; their focus is more on the "banking book" than the "trading book". The biggest concern here - as mentioned - is the credit risk due to loan defaults from individuals or businesses. Liquidity risk, in this context not having enough liquid assets to meet withdrawal demands, is also a major focus; while interest rate risk concerns the impact of interest rate changes on net interest margins (the spread between deposit and loan rates).

For these banks, regulatory oversight is often tighter due to their direct impact on the financial system. Thus they are also highly regulated under Basel III and national banking laws, and will also be subject to regular stress testing by central banks; and all regulations above then apply (with local exceptions; e.g. an LCR "threshold" in the US [70]). Additional to these, however, they must maintain high capital and liquidity ratios to protect depositors; see CAMELS rating system.

Given their business model and risk appetite,[68] as outlined, various differences result vs risk management at investment banks.

* Banks here maintain specific (and often additional) capital buffers to cover potential loan losses; reflected also in the fact that retail and commercial loans usually attract higher RWA results [71] than for assets typical in investment banking. See, e.g., the ALLL and NPL ratios.
* At the same time, credit exposure for these banks is to significantly more clients than at investment banks. For retail banks, "consumer credit risk" is often diversified across a vast number of borrowers, and these employ statistical models for (ongoing "behavioral") credit scoring and probability of default. Commercial banks deal with mid-sized corporate loans and bonds, and apply accounting- and financial analysis to determine creditworthiness; the approach differs re investment banking in that the broad client base allows for (necessitates) automation, with close monitoring on an exception basis.
* Concentration risk, relatedly, differs in its management: the concern is sector concentration as opposed to "name concentration". Here, in calculating VaR for a credit portfolio,[72] banks will incorporate a joint default probability for the various sectors and / or industries.
* Both retail and commercial banks employ strict liquidity management to ensure enough cash for customer withdrawals: at a minimum meeting the above NSFR and LCR requirements; but also complying with their regulator's reserve requirement. See also liquidity at risk.
* Both use interest rate hedging (e.g., swaps) but here, in the main, to protect their profit margin against rate fluctuations, and the resultant "margin compression"; i.e., as opposed to addressing market risk per se. Re the latter, they will often employ the abovementioned cash flow at risk and earnings at risk models. They will also hold specific capital for interest rate risk in the banking book,[47][73] "IRRBB", which deals with the risks associated with a change in interest rates, including interest rate gaps, basis risk, yield curve risk, and option risk.

The Risk Management function typically exists independent of operations \- although may sit in Treasury - and reports directly to the board.[69] Its scope often extends to non-financial operational and reputational risk (monitoring for any consequent run on the bank). Specialised software is employed here, both operationally and for risk management and modelling.

### Corporate finance

[edit]

Contribution analytics: Profit and Loss for units sold at current fixed costs. The same, for varying (scenario-based) Revenue levels, at current Fixed and Total costs.

Further information: Asset and liability management, Treasury management, Strategic financial management, and Managerial risk accounting

See also: Corporate finance § Financial risk management

In corporate finance, and financial management more generally,[74][10] financial risk management, as above, is concerned with business risk \- risks to the business’ value, within the context of its business strategy and capital structure.[75] The scope here - ie in non-financial firms[13] \- is thus broadened[9][76][77] (re banking) to overlap enterprise risk management, and financial risk management then addresses risks to the firm's overall strategic objectives, incorporating various (all) financial aspects[78] of the exposures and opportunities arising from business decisions, and their link to the firm’s appetite for risk, as well as their impact on share price. In many organizations, risk executives are therefore involved in strategy formulation: "the choice of which risks to undertake through the allocation of its scarce resources is the key tool available to management."[79]

Re the standard framework,[78] then, the discipline largely focuses on operations, i.e. business risk, as outlined. Here, the management is ongoing[10] — see following description — and is coupled with the use of insurance,[80] managing the net-exposure as above: credit risk is usually addressed via provisioning and credit insurance; likewise, where this treatment is deemed appropriate, specifically identified operational risks are also insured.[77] Market risk, in this context,[13] is concerned mainly with changes in commodity prices, interest rates, and foreign exchange rates, and any adverse impact due to these on cash flow and profitability, and hence share price.

Correspondingly, the practice here covers two perspectives; these are shared with corporate finance more generally:

1. Both risk management and corporate finance share the goal of enhancing, or at least preserving, firm value.[74] Here,[9][78] businesses devote much time and effort to (short term) liquidity-, cash flow- and performance monitoring, and Risk Management then also overlaps cash- and treasury management, especially as impacted by capital and funding as above. More specifically re business-operations, management emphasizes their break even dynamics, contribution margin and operating leverage, and the corresponding monitoring and management of revenue, of costs, and of other budget elements. The DuPont analysis entails a "decomposition" of the firm's return on equity, ROE, allowing management to identify and address specific areas of concern,[81] preempting any underperformance vs shareholders' required return.[82] In larger firms, specialist Risk Analysts complement this work with model-based analytics more broadly;[83][84] in some cases, employing sophisticated stochastic models,[84][85] in, for example, financing activity prediction problems, and for risk analysis ahead of a major investment.
2. Firm exposure to long term market (and business) risk is a direct result of previous capital investment decisions. Where applicable here[13][78][74] — usually in large corporates and under guidance from[86] their investment bankers — risk analysts will manage and hedge[80] their exposures using traded financial instruments to create commodity-,[87][88] interest rate-[89][90] and foreign exchange hedges[91][92] (see further below). Because company specific, "over-the-counter" (OTC) contracts tend to be costly to create and monitor — i.e. using financial engineering and / or structured products — "standard" derivatives that trade on well-established exchanges are often preferred.[15][78] These comprise options, futures, forwards, and swaps; the "second generation" exotic derivatives usually trade OTC. Complementary to this hedging, periodically, Treasury may also adjust the capital structure, reducing financial leverage \- i.e. repaying debt-funding - so as to accommodate increased business risk; they may also suspend dividends.[93]

Multinational corporations are faced with additional challenges, particularly as relates to foreign exchange risk, and the scope of financial risk management modifies significantly in the international realm.[91] Here, dependent on time horizon and risk sub-type — transactions exposure[94] (essentially that discussed above), accounting exposure,[95] and economic exposure[96] — so the corporate will manage its risk differently. The forex risk-management discussed here and above, is additional to the per transaction "forward cover" that importers and exporters purchase from their bank (alongside other trade finance mechanisms).

Hedging-related transactions will attract their own accounting treatment, and corporates (and banks) may then require changes to systems, processes and documentation;[97][98] see Hedge accounting, Mark-to-market accounting, Hedge relationship, Cash flow hedge, IFRS 7, IFRS 9, IFRS 13, FASB 133, IAS 39, FAS 130.

It is common for large corporations to have dedicated risk management teams — typically within FP&A or corporate treasury — reporting to the CRO; often these overlap the internal audit function (see Three lines of defence). For small firms, it is impractical to have a formal risk management function, but these typically apply the above practices, at least the first set, informally, as part of the financial management function; see discussion under Financial analyst.

The discipline relies on a range of software,[99] correspondingly, from spreadsheets (invariably as a starting point, and frequently in total[100]) through commercial EPM and BI tools, often BusinessObjects (SAP), OBI EE (Oracle), Cognos (IBM), and Power BI (Microsoft). [101]

### Insurance

[edit]

Further information: Insurance § Insurers' business model

See also: IFRS 17

Actuaries use Extreme Value Theory to model rare events such as "100-year floods". Pictured is Kaskaskia, Illinois, entirely submerged during the Great Flood of 1993.

Insurance companies make profit [102][103] through underwriting — selecting which risks to insure, charging a risk-appropriate premium, and then paying claims as they occur — and by investing the premiums they collect from insured parties. They will, in turn, manage their own risks [11] [104] [105] [103] with a focus on solvency and the ability to pay claims: Life Insurers [106] are concerned more with longevity risk and interest rate risk; Short-Term Insurers (Property, Health, Casualty) [102] emphasize catastrophe- and claims volatility risks.

Fundamental here, therefore, is risk selection and pricing discipline, which as outlined, prevent insurers from taking on unprofitable business. For expected claims — i.e. those theoretically inhering in the pricing model’s assumptions re frequency and severity — reserves are set aside (actuarial, with statutory reserves as a floor). These will cover both known claims, reported but unpaid, as well as those which are incurred but not reported (IBNR). To absorb unexpected losses, insurance companies maintain a minimum level of capital plus an additional solvency margin. Capital requirements are based on the risks an insurer faces, such as underwriting risk, market risk, credit risk, and operational risk, and are governed by frameworks such as Solvency II (Europe) and Risk-Based Capital [107] (U.S.). To further mitigate large-scale risks — i.e. to reduce exposure to catastrophic losses — insurers transfer portions of their risk to Reinsurers. Here, analogous to VaR for banks, to estimate potential losses at various thresholds insurers use simulations, while stress tests assess how extreme events might impact capital and reserves under various scenarios. In parallel with all these, as above, premiums collected are invested to generate returns which will supplement underwriting profits, and the fund is then risk-managed as follows: ALM must ensure that investments align with the timing and amount of expected claim payouts; while returns ("float") are defended using the techniques outlined in the next section.

Specific treatments will, as outlined, differ by insurer-profile:

* Life Insurers [106] deal with long-term risks tied to mortality, longevity, and interest rates. Policies (e.g.,  whole life, annuities) can span decades, making them sensitive to long-term economic and demographic shifts. Reserves are large and complex due to the long duration of liabilities, with capital models emphasizing longevity risk, interest rate risk, and lapse risk. Stress tests, correspondingly, focus on long-term scenarios (e.g. sustained low interest rates, or a pandemic related spike in mortality). ALM here is critical, and investments will be in long-term, stable assets (bonds as well as equities) to match these long-duration liabilities. Reinsurance is often used for excess death claims.
* Short-Term Insurers [102] face more volatility relative to Life companies, while claims are typically resolved within a year or two (although tail events \- e.g. asbestos litigation \- can linger). Thus, reserves are shorter-term but must account for high uncertainty in claim frequency and severity; IBNR may be significant, especially after large events. Capital requirements focus on underwriting risk (e.g., mispricing policies) and catastrophe risk (e.g., hurricanes, earthquakes). Stress tests therefore emphasize short-term catastrophic scenarios, and specialized catastrophe models are widely used. Rapid claims settlement reduces reserving duration compared to life insurance, and portfolios lean toward liquid, shorter-term assets (e.g., cash, short-term bonds). Reinsurance is widely utilized to cap exposure to catastrophes; as are quota-share or excess-of-loss treaties re single events.

In a typical insurance company, Risk Management and the Actuarial Function are separate but closely related departments, each with distinct responsibilities. In smaller companies, the lines might blur, with actuaries taking on some risk management tasks, or vice versa. Regardless, the Head Actuary (or Chief Actuary or Appointed Actuary) has specific responsibilities, typically requiring formal "sign-off": Reserve Adequacy and Solvency and Capital Assessment, as well as Reinsurance Arrangements. The relevant calculations are usually performed with specialized software — provided e.g. by WTW and Milliman — and often using R or SAS.

### Investment management

[edit]

Further information: Portfolio optimization, Active management, and Passive management

See also: Post-modern portfolio theory and Financial economics § Portfolio theory

Modern portfolio theory suggests a diversified portfolio of shares and other asset classes (such as debt in corporate bonds, treasury bonds, or money market funds) will realise more predictable returns if there is prudent market regulation. Efficient Frontier. The hyperbola is sometimes referred to as the "Markowitz bullet", and its upward sloped portion is the efficient frontier if no risk-free asset is available. With a risk-free asset, the straight capital allocation line is the efficient frontier. Here maximizing return and minimizing risk such that the portfolio is Pareto efficient (Pareto-optimal points in red).

Fund managers, classically,[108] define the risk of a portfolio as its variance[12] (or standard deviation), and through diversification the portfolio is optimized so as to achieve the lowest risk for a given targeted return, or equivalently the highest return for a given level of risk; these risk-efficient portfolios form the "efficient frontier" (see Markowitz model). The logic here is that returns from different assets are highly unlikely to be perfectly correlated, and in fact the correlation may sometimes be negative. In this way, market risk particularly, and other financial risks such as inflation risk (see below) can at least partially be moderated by forms of diversification.

A key issue, however, is that the (assumed) relationships are (implicitly) forward looking. As observed in the late-2000s recession, historic relationships can break down, resulting in losses to market participants believing that diversification would provide sufficient protection (in that market, including funds that had been explicitly set up to avoid being affected in this way[109]). A related issue is that diversification has costs: as correlations are not constant it may be necessary to regularly rebalance the portfolio, incurring transaction costs, negatively impacting investment performance;[110] and as the fund manager diversifies, so this problem compounds (and a large fund may also exert market impact). See Modern portfolio theory § Criticisms.

Addressing these issues, more sophisticated approaches have been developed, both to defining risk, and to the optimization itself. (Respective examples: (tail) risk parity, focuses on allocation of risk, rather than allocation of capital; the Black–Litterman model modifies the "Markowitz optimization", to incorporate the views of the portfolio manager.[111]) Relatedly, modern financial risk modeling employs a variety of techniques — including value at risk,[112] historical simulation, stress tests, and extreme value theory — to analyze the portfolio and to forecast the likely losses incurred for a variety of risks and scenarios.

Here, guided by the analytics, fund managers (and traders) will apply specific risk hedging techniques.[108][12] As appropriate, these may relate to the portfolio as a whole or to individual holdings:

* To protect the overall portfolio,[113] fund managers may sell the stock market index future or buy puts on the stock market index option;[114][115] the respective sensitivities, portfolio beta and option delta, determine the number of hedge-contracts required.[113] For both, the logic is that the (diversified) portfolio is likely highly correlated with the stock index it is part of: thus if the portfolio-value declines, the index will have declined likewise with the derivative holder profiting correspondingly.[113] Fund managers may (instead) engage in "portfolio insurance", a dynamic hedging process that involves selling index futures during periods of decline and using the proceeds to offset portfolio losses.

* Fund managers, or traders, may also wish to hedge a specific stock's price. Here, they may likewise[113] buy a single-stock put, or sell a single-stock future. Alternative strategies may rely on assumed relationships between related stocks, employing, for example, a "long/short" strategy.

* Bond portfolios, when e.g. a component of an asset-allocation fund or other diversified portfolio, are typically managed similar to equity above: the fund manager will hedge her bond allocation with bond index futures or options; with the number of contracts, a function of duration.[116][117][113] In other contexts, the concern may be the net-obligation or net-cashflow. Here the fund manager employs interest rate immunization or cashflow matching. Immunization is a strategy that ensures that a change in interest rates will not affect the value of a fixed-income portfolio (an increase in rates results in a decreased instrument value). It is often used to ensure that the value of a pension fund's assets (or an asset manager's fund) increase or decrease in an exactly opposite fashion to their liabilities, thus leaving the value of the pension fund's surplus (or firm's equity) unchanged, regardless of changes in the interest rate. Cashflow matching is similarly 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. See also laddering,[118] dedicated portfolio.

* For individual bonds and other fixed income securities, specific credit and interest rate risks can be hedged[113] using interest rate- and credit derivatives (although with care, under multi-curves[119] ). Sensitivities re interest rates are measured using duration and convexity for bonds, and DV01 and key rate durations generally, and an offsetting derivative-position is purchased. For credit risk,[120] sensitivities are measured via CS01, while analysts use models such as Jarrow–Turnbull and KMV to estimate the (risk neutral[121]) probability of default, hedging where appropriate, usually via credit default swaps. Probabilities (actuarial) may also be obtained from Bond credit ratings; then, often at a portfolio level — e.g. for credit-VaR — analysts will use a transition matrix of these[122] to estimate the probability and impact of a "credit migration",[123][124] aggregating the bond-by-bond result. Interest rate- and credit risk together, may be hedged via a Total return swap. See Fixed income analysis

* For derivative portfolios, and positions, the Greeks are a vital risk management tool: as above, these measure sensitivity to a small change in a given underlying price, rate, or parameter, and the portfolio is then rebalanced accordingly[113] by including additional derivatives with offsetting characteristics, or by purchasing or selling specified units of the underlying security.

Further, and more generally, various safety-criteria may guide overall portfolio construction. The Kelly criterion[125] will suggest \- i.e. limit - the size of a position that an investor should hold in her portfolio. Roy's safety-first criterion[126] minimizes the probability of the portfolio's return falling below a minimum desired threshold. Chance-constrained portfolio selection similarly seeks to ensure that the probability of final wealth falling below a given "safety level" is acceptable.

Managers may also employ factor models[127] (generically APT) to measure exposure to macroeconomic and market risk factors[128] using time series regression. Ahead of an anticipated movement in any of these factors, the Manager may then, as indicated, reduce holdings, hedge, or purchase offsetting exposure. Inflation for example, although impacting all securities,[129] can be managed[130][131] at the portfolio level by appropriately[132] increasing exposure to inflation-sensitive stocks (e.g. consumer staples), and / or by investing in tangible assets, commodities and inflation-linked bonds; the latter may also provide a direct hedge.[133]

In parallel with all above,[134][135] managers — active and passive — periodically monitor and manage tracking error, i.e. underperformance vs a  "benchmark". Here, they will use attribution analysis preemptively so as to diagnose the source early, and to take corrective action: realigning, often factor-wise, on the basis of this "feedback".[135][136] As relevant, they will similarly use style analysis to address style drift. See also Fixed-income attribution.

Given the complexity of these analyses and techniques, Fund Managers typically rely on sophisticated software (as do banks, above). Widely used platforms are provided by BlackRock (Aladdin), Refinitiv (Eikon), Finastra, Murex, Numerix, MPI and Morningstar.

## See also

[edit]

Articles

* Outline of finance § Risk management

Discussion

* Asset and liability management
* Basel III: Finalising post-crisis reforms
* Corporate governance
* Enterprise risk management
* Finance § Risk management
* Risk management § Finance

Lists

* economic crises
* asset bubbles
* stock market crashes and bear markets
* trading losses
* corporate collapses and scandals
* accounting scandals
* banking crises
* bank runs
* largest U.S. bank failures
* bank failures in the United States (2008–present)

## Bibliography

[edit]

Financial institutions

* Allen, Steve L. (2012). Financial Risk Management: A Practitioner's Guide to Managing Market and Credit Risk (2 ed.). John Wiley. ISBN 978-1118175453.
* Coleman, Thomas (2011). A Practical Guide to Risk Management (PDF). CFA Institute. ISBN 978-1-934667-41-5.
* Crockford, Neil (1986). An Introduction to Risk Management (2 ed.). Woodhead-Faulkner. ISBN 0-85941-332-2.
* Crouhy, Michel; Galai, Dan; Mark, Robert (2013). The Essentials of Risk Management (2 ed.). McGraw-Hill Professional. ISBN 9780071818513.
* Christoffersen, Peter (2011). Elements of Financial Risk Management (2 ed.). Academic Press. ISBN 978-0-12-374448-7.
* Farid, Jawwad Ahmed (2013). Models at Work: A Practitioner's Guide to Risk Management. Palgrave Macmillan. ISBN 978-1137371638.
* Hull, John (2023). Risk Management and Financial Institutions (6 ed.). John Wiley. ISBN 978-1-119-93248-2.
* McNeil, Alexander J.; Frey, Rüdiger; Embrechts, Paul (2015), Quantitative Risk Management. Concepts, Techniques and Tools, Princeton Series in Finance (revised ed.), Princeton, NJ: Princeton University Press, ISBN 9780691166278, MR 2175089, Zbl 1089.91037
* Miller, Michael B. (2019). Quantitative Financial Risk Management. John Wiley. ISBN 9781119522201.
* Roncalli, Thierry (2020). Handbook of Financial Risk Management. Chapman & Hall. ISBN 9781138501874.
* Tapiero, Charles (2004). Risk and Financial Management: Mathematical and Computational Methods. John Wiley & Son. ISBN 0-470-84908-8.
* van Deventer; Donald R.; Kenji Imai; Mark Mesler (2004). Advanced Financial Risk Management: Tools and Techniques for Integrated Credit Risk and Interest Rate Risk Management. John Wiley. ISBN 978-0-470-82126-8.
* Wernz, Johannes (2021). Bank Management and Control: Strategy, Pricing, Capital and Risk Management (2 ed.). Springer. ISBN 978-3030428686.

Corporations

* Baranoff, Etti; Brockett, Patrick; Kahane, Yehuda (2009). Risk Management for Enterprises and Individuals. Saylor. ISBN 9780982361801.
* Blunden, Tony; Thirlwell, John (2021). Mastering Risk Management. FT Publishing International. ISBN 978-1292331317.
* Damodaran, Aswath (2007). Strategic Risk Taking: A Framework for Risk Management. FT Press. ISBN 978-0137043774.
* García, Francisco J. P. (2017). Financial Risk Management: Identification, Measurement and Management. Palgrave Macmillan. ISBN 978-3-319-41365-5.
* Hampton, John (2011). The AMA Handbook of Financial Risk Management. American Management Association. ISBN 978-0814417447.
* Lam, James (2003). Enterprise Risk Management: From Incentives to Controls. John Wiley. ISBN 978-0-471-43000-1.
* Myint, Stanley; Famery, Fabrice (2019). The Handbook of Corporate Financial Risk Management. Risk Books. ISBN 978-1782723929.

Portfolios

* Baker, H. Kent; Filbeck, Greg (2015). Investment Risk Management. Oxford Academic. ISBN 978-0199331963.
* Cowell, Frances (2013). Risk-Based Investment Management in Practice. Palgrave Macmillan. doi:10.1057/9781137346407. ISBN 978-1-137-34639-1.
* Fabozzi, Frank J.; Petter N. Kolm; Dessislava Pachamanova; Sergio M. Focardi (2007). Robust Portfolio Optimization and Management. Hoboken, New Jersey: John Wiley & Sons. ISBN 978-0-471-92122-6
* Grinold, Richard; Kahn, Ronald (1999). Active Portfolio Management: A Quantitative Approach for Producing Superior Returns and Controlling Risk (2nd ed.). McGraw Hill. ISBN 978-0070248823.
* Harvey, Campbell; Rattray, Sandy; Van Hemert, Otto (2021). Strategic Risk Management: Designing Portfolios and Managing Risk. Wiley Finance. ISBN 978-1119773917.
* Maginn, John L.; Tuttle, Donald L.; Pinto, Jerald E.; McLeavey, Dennis W. (2007). Managing Investment Portfolios: A Dynamic Process (3rd ed.). Springer. ISBN 978-0470080146.
* Paleologo, Giuseppe A. (2021). Advanced Portfolio Management: A Quant's Guide for Fundamental Investors (1st ed.). Wiley. ISBN 978-1119789796.
* Rasmussen, M. (2003). Quantitative Portfolio Optimisation, Asset Allocation and Risk Management. Palgrave Macmillan. ISBN 978-1403904584.
* Schulmerich, Marcus; Leporcher, Yves-Michel; Eu, Ching-Hwa (2015). Applied Asset and Risk Management. Springer. ISBN 978-3642554438.

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[edit]

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113. ^ a b c d e f g For discussion and examples re calculating the appropriate "optimal hedge ratio" - based on beta, delta, or duration \- and then executing, see: Roger G . Clarke (1992). "Options and Futures: A Tutorial". CFA Institute Research Foundation
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## External links

[edit]

* Glossary of financial risk management terms, Risk.net
* Risk management resources, Global Risk Institute
* Risk knowledge library, Risk and Insurance Management Society
* Risk management entries, Fincyclopedia
* Risk Journals, Risk.net
* Global Association of Risk Professionals, GARP
* Professional Risk Managers' International Association, PRMIA
* Chartered Enterprise Risk Analyst, Society of Actuaries

* v
* t
* e

Financial risk and financial risk management

Categories|

| Credit risk|

* Consumer credit risk
* Sovereign credit risk
* Settlement risk
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* Securitization

|

Market risk|

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* Legal risk

Other|

* Execution risk
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Modeling|

* Arbitrage pricing theory
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* Copula
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* Value-at-Risk (VaR) and extensions (Profit at risk, Margin at risk, Liquidity at risk, Cash flow at risk, Earnings at risk)

Basic concepts|

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* v
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Risk management

Risk type & source|

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* Exchange rate risk
* Market risk
* Profit risk
* Systemic risk
* Strategic risk
* Residual risk

|

Risk source|

* Hazard
* Conflict
* Uncertainty
* Vulnerability

Countermeasures|

* Enterprise risk management
* Corporate governance
* Regulatory compliance
* GRC
* Internal control
* Personal risk management
* Health insurance
* Stress management
* Disease management
* Operational risk management
* Supply chain
* Project
* Quality
* Security management
* Identity and access management
* Vulnerability management
* Incident management
* Business continuity planning
* Disaster risk reduction
* Financial risk management
* Diversification
* Hedge
* Risk pool
* Strategic management
* Risk communication
* Warning system
* Precautionary principle
* Insurance
* Crisis management
* Disaster management
* Occupational safety and health
* Swiss cheese model

Risk assessment|

* Exposure assessment
* Hazard analysis
* Scenario planning
* Contingency plan
* Brainstorming
* Structured or semi-structured interviews
* Delphi method
* Checklist
* Preliminary hazard analysis (PHA)
* Hazard and operability study (HAZOP)
* Hazard analysis and critical control points (HACCP)
* Toxicity assessment
* Structured What If Technique (SWIFT)
* Scenario analysis
* Business impact analysis
* Root cause analysis
* Failure mode and effects analysis (FMEA) / FMECA
* Fault tree analysis
* Event tree analysis
* Cause and consequence analysis
* Cause-and-effect analysis
* Layer protection analysis (LOPA)
* Decision tree
* Human reliability analysis (HRA)
* Bow tie analysis
* Reliability centered maintenance
* Sneak circuit analysis
* Markov analysis
* Monte Carlo simulation
* Bayesian statistics and Bayes nets
* FN curve
* Risk index
* Risk Matrix
* Cost/benefit analysis
* Risk–benefit ratio
* Multi-criteria decision analysis (MCDA)

Related concepts|

* ISO 31000
* ISO/IEC 31010
* COSO
* Risk appetite
* Hazard map
* Rare events
* Problem solving
* Security
* Opportunity cost
* Crisis management

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