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Quantitative Finance Category

Portfolio Risk & Risk Budgeting

Measures that decompose portfolio risk, tail loss, drawdowns and concentration into interpretable contributions. This category groups related methods so readers can move from the underlying idea to implementation, interpretation and model risk without searching across an undifferentiated master list.

97 conceptsDefinitions + formulasWorked mini-examples

What this category covers

Measures that decompose portfolio risk, tail loss, drawdowns and concentration into interpretable contributions. Each concept page explains the quantitative meaning, how the idea is used in portfolio or market analysis, the relevant formula or analytical framework, variables, a compact example and the main limitations to keep in view.

Core concepts

Quick entry points

All Portfolio Risk & Risk Budgeting concepts

97 entries
Quantitative Finance

Active Risk Contribution

Active Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Average Conditional Drawdown

Average Conditional Drawdown is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Average Drawdown

Average Drawdown is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Co-Kurtosis Risk

Co-Kurtosis Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Co-Skewness Risk

Co-Skewness Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Commodity Risk Contribution

Commodity Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Component Expected Shortfall

Component Expected Shortfall is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Component Risk Contribution

Component Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Component Value at Risk

Component Value at Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Concentration Risk Measure

Concentration Risk Measure is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Conditional Drawdown at Risk

Conditional Drawdown at Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Conditional Value at Risk

Conditional Value at Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Correlation Contribution

Correlation Contribution is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Country Concentration

Country Concentration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Covariance Contribution

Covariance Contribution is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Credit Risk Contribution

Credit Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Currency Concentration

Currency Concentration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Currency Risk Contribution

Currency Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Curve Risk Contribution

Curve Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Diversification Benefit

Diversification Benefit is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Diversification Ratio

Diversification Ratio is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Downside Beta

Downside Beta is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Downside Deviation

Downside Deviation is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Downside Risk

Downside Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Drawdown at Risk

Drawdown at Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Drawdown Beta

Drawdown Beta is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Drawdown Correlation

Drawdown Correlation is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Drawdown Duration

Drawdown Duration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Duration Risk Contribution

Duration Risk Contribution is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Effective Number of Bets

Effective Number of Bets is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Effective Number of Holdings

Effective Number of Holdings is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Equity Risk Contribution

Equity Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Euler Risk Allocation

Euler Risk Allocation is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Ex-Ante Risk

Ex-Ante Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Ex-Post Risk

Ex-Post Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Expected Drawdown

Expected Drawdown is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Expected Shortfall Allocation

Expected Shortfall Allocation is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Expected Tail Loss

Expected Tail Loss is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Factor Concentration

Factor Concentration is a factor-based concept used to describe a systematic source of return, risk or cross-sectional variation. Factor analysis separates broad common exposures from security-specific behavior so that portfolio bets can be measured and controlled more explicitly.

Quantitative Finance

Factor Risk Contribution

Factor Risk Contribution is a factor-based concept used to describe a systematic source of return, risk or cross-sectional variation. Factor analysis separates broad common exposures from security-specific behavior so that portfolio bets can be measured and controlled more explicitly.

Quantitative Finance

Forward-Looking Risk

Forward-Looking Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Gain-to-Pain Ratio

Gain-to-Pain Ratio is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Herfindahl Portfolio Concentration

Herfindahl Portfolio Concentration is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Higher-Moment Risk

Higher-Moment Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Idiosyncratic Risk Contribution

Idiosyncratic Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Incremental Risk

Incremental Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Incremental Risk Charge

Incremental Risk Charge is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Incremental Value at Risk

Incremental Value at Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Issuer Concentration

Issuer Concentration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Liquidity Risk Contribution

Liquidity Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Liquidity-Adjusted Expected Shortfall

Liquidity-Adjusted Expected Shortfall is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Liquidity-Adjusted VaR

Liquidity-Adjusted VaR is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Lower Partial Moment

Lower Partial Moment is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Marginal Expected Shortfall

Marginal Expected Shortfall is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Marginal Risk Contribution

Marginal Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Marginal Value at Risk

Marginal Value at Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Maximum Drawdown

Maximum Drawdown is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Maximum Drawdown Duration

Maximum Drawdown Duration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Pain Index

Pain Index is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Pain Ratio

Pain Ratio is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Peak-to-Trough Loss

Peak-to-Trough Loss is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Percentage Risk Contribution

Percentage Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Portfolio Basis Risk

Portfolio Basis Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Convexity Risk

Portfolio Convexity Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Estimation Risk

Portfolio Estimation Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Gap Risk

Portfolio Gap Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Jump Risk

Portfolio Jump Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Model Risk

Portfolio Model Risk is a quantitative model or framework used in portfolio risk & risk budgeting to convert assumptions and observed market information into a structured estimate, state or decision rule. Its value comes from making the relationships explicit enough to calibrate, test and compare rather than relying on intuition alone.

Quantitative Finance

Portfolio Parameter Risk

Portfolio Parameter Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Reverse Stress Test

Portfolio Reverse Stress Test is a statistical diagnostic used in portfolio risk & risk budgeting to test a specific property of data, residuals, forecasts or model behavior. The result is evidence about an assumption or hypothesis, not a standalone trading signal.

Quantitative Finance

Portfolio Risk Aggregation

Portfolio Risk Aggregation is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Risk Decomposition

Portfolio Risk Decomposition is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Scenario Risk

Portfolio Scenario Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Sensitivity Analysis

Portfolio Sensitivity Analysis is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Shock Analysis

Portfolio Shock Analysis is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Stress Loss

Portfolio Stress Loss is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Portfolio Tail Risk

Portfolio Tail Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Realized Portfolio Risk

Realized Portfolio Risk is a portfolio-construction or portfolio-analysis concept that formalizes how capital, exposures or risk are combined across positions. It is typically evaluated together with constraints, turnover, liquidity and estimation uncertainty rather than in isolation.

Quantitative Finance

Recovery Time

Recovery Time is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Risk Appetite Metric

Risk Appetite Metric is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Risk Budget Utilization

Risk Budget Utilization is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Risk Budgeting

Risk Budgeting is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Risk Capacity Metric

Risk Capacity Metric is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Risk Concentration

Risk Concentration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Risk Contribution

Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Risk Limit Utilization

Risk Limit Utilization is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Sector Concentration

Sector Concentration is a quantitative measure used to summarize a specific property of returns, risk, dependence or model performance. Its interpretation depends on the sampling window, benchmark, frequency and assumptions used to construct it.

Quantitative Finance

Semi-Deviation

Semi-Deviation is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Shortfall Probability

Shortfall Probability is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Specific Risk Contribution

Specific Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Spread Risk Contribution

Spread Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Stressed VaR

Stressed VaR is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Systematic Risk Contribution

Systematic Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Tail Beta

Tail Beta is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

Quantitative Finance

Upside Risk

Upside Risk is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Variance Risk Contribution

Variance Risk Contribution is a quantitative risk concept used to identify, measure or allocate a particular source of portfolio uncertainty. It becomes decision-useful when the measure is tied to positions, factors, scenarios and a clearly stated horizon.

Quantitative Finance

Volatility Contribution

Volatility Contribution is a quantitative-finance concept used within portfolio risk & risk budgeting. It provides a precise language for describing how market data, uncertainty, models or portfolio decisions are measured and tested.

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