Portfolio Analytics & Metrics

The difference between a portfolioThe complete collection of investments owned by an investor or managed under one mandate.'s return and its benchmarkA reference index or rate used to evaluate a fund's performance.'s return.

Example: A fund returning 14% against a 10% benchmark earns 4% active return.

Active Return is the difference between a portfolio's return and its benchmark's return; the calculation behind the measure is only comparable across investments when dates, compoundingThe process by which returns earn additional returns over time., fees, distributions and currency are handled consistently.

A fund returning 14% against a 10% benchmark earns 4% active return. It does not by itself establish skill, safety or the return an investorA person or organisation that commits capital with the expectation of a financial return. will realise.

Before relying on it, check the source series, treatment of distributions and external cash flows, and whether the measure is historical, estimated or annualised. Historical measurement describes the sample; it does not guaranteeA contractual promise by another party to meet an obligation if the primary debtor does not. the next period.

The volatility of a portfolio's active return, also called tracking error.

Example: Large benchmark deviations create higher active risk.

Active Risk is the volatility of a portfolio's active return, also called tracking error; the risk becomes financially relevant when an adverse event changes cash flows, prices, liquidityThe ease and speed with which an investment can be converted into cash without a major price concession., ownership rights or the ability to exit.

Large benchmark deviations create higher active risk.

A practical review of Active Risk should cover probability, severity, liquidity, concentration and available safeguards; position size is often the final control. A hedge can replace one risk with cost, basis riskThe risk that a hedge and the exposure it is intended to offset do not move closely enough. or counterparty exposure.

The percentage of portfolio holdings that differs from the benchmark.

Example: A fund with very different stock weights has high active share.

Active Share is the percentage of portfolio holdings that differs from the benchmark. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

A fund with very different stock weights has high active share. It does not by itself establish skill, safety or the return an investor will realise.

For Active Share, record the exact formula, data frequency, period and benchmark; compare only figures constructed on the same basis and inspect outliers rather than accepting the headline. Historical measurement describes the sample; it does not guarantee the next period.

The percentage of a portfolio invested across asset classes such as cash, bonds, shares, and propertyLand and buildings held for use, rent, development, or capital appreciation..

Example: A balanced fundA fund that combines growth assets such as shares with income assets such as bonds and cash. allocates 50% to bonds, 35% to equities, and 15% to cash.

Asset allocation is the way a portfolio is divided among broad asset classes such as cash, bonds, shares and property. It is one of the main choices determining how much the portfolio may grow or fluctuate.

A balanced fund holding 50% bonds, 35% shares and 15% cash has that asset allocation at the measurement date. Market movements can change the percentages even when the manager makes no trades, so allocations need monitoring and occasional rebalancingRestoring a portfolio toward its target weights by buying or selling assets..

Compare the current allocation with the ranges allowed by the mandate and with the investor's goal, horizon and capacity for loss. Labels can hide major differences: two balanced funds may hold very different equity weights. Look through underlying funds where possible so the same exposure is not counted under misleading names.

A simulation of how an investmentAn asset or commitment of money made with the expectation of future income, growth, or both. strategy would have performed using historical data.

Example: A momentumThe tendency of assets with strong recent performance to continue outperforming for a period. rule is tested on ten years of past prices.

Backtest is a simulation of how an investment strategy would have performed using historical data; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

A momentum rule is tested on ten years of past prices. It does not by itself establish skill, safety or the return an investor will realise.

A sound reading of Backtest requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion. The metric can clarify one dimension of performance while hiding another.

A measure of how strongly an investment's returns tend to move relative to a market benchmark.

Example: A beta of 1.2 suggests the fund historically moved about 20% more than the benchmark, in either direction.

Beta estimates how an investment's returns have moved with a chosen market benchmark. A beta of 1 means similar market sensitivity in the fitted data; above 1 indicates stronger co-movement and below 1 weaker co-movement.

A beta of 1.2 suggests that when the benchmark moved 1%, the investment historically moved about 1.2% in the same direction on average, not on every day. A negative beta indicates a tendency to move in the opposite direction.

Beta depends on the benchmark, period and return frequency and can change over time. It measures market-related movement, not all risk: a low-beta company can still collapse because of company-specific problems. Use beta alongside financial analysis, concentration and loss measures rather than treating it as a complete safety score.

Annualised returnA return converted into an equivalent yearly rate to make periods easier to compare. divided by maximum drawdown, commonly measured over a stated period.

Example: A strategy returning 15% with a 10% maximum drawdown has a Calmar ratio of 1.5.

Calmar Ratio describes annualised return divided by maximum drawdown, commonly measured over a stated period; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

In formula form, the measure uses annualised return as the numerator and maximum drawdown, commonly measured over a stated period as the denominator. A strategy returning 15% with a 10% maximum drawdown has a Calmar ratio of 1.5. It does not by itself establish skill, safety or the return an investor will realise.

A sound reading of Calmar Ratio requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion. A precise decimal does not compensate for mismatched inputs.

Up-capture divided by down-capture, used to compare participation in gains with participation in losses.

Example: A ratio above one suggests a favourable historical balance.

Capture Ratio describes up-capture divided by down-capture, used to compare participation in gains with participation in losses; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

In formula form, the measure uses up-capture as the numerator and down-capture, used to compare participation in gains with participation in losses as the denominator. A ratio above one suggests a favourable historical balance. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

For Capture Ratio, record the exact formula, data frequency, period and benchmark; compare only figures constructed on the same basis and inspect outliers rather than accepting the headline. A precise decimal does not compensate for mismatched inputs.

The degree to which a portfolio depends on a small number of holdings, sectors, or issuers.

Example: If 35% of a fund is invested in one banking group, the portfolio has meaningful issuer concentration.

Concentration measures how much a portfolio relies on a small number of holdings or related risks. Higher concentration increases the effect that one outcome can have on the whole portfolio.

If 35% of a fund is invested in one banking group, a 20% fall in that position reduces the portfolio by about 7% before movements in other holdings. Several companies can also create hidden concentration when they share the same sector, borrower, currency or economic driver.

Review the largest holdings and add related exposures across direct investments and underlying funds. Concentration is not automatically bad—deliberate high-conviction portfolios accept it—but the potential gain and loss are less diversified. Compare the level with the mandate and the investor's ability to withstand a large position going wrong.

The average loss expected beyond a Value at Risk threshold.

Example: CVaR estimates the severity of losses on the worst days rather than only the cutoff.

Conditional Value at Risk is the average loss expected beyond a Value at Risk threshold. The source of the risk may sit with the issuer, market, contract, intermediary or investor behaviour; understanding the loss mechanism is more useful than assigning a vague risk label.

For example, cVaR estimates the severity of losses on the worst days rather than only the cutoff.

Do not stop at naming Conditional Value at Risk; measure where possible, inspect contractual protections and plan the action to take before the adverse event occurs. A hedge can replace one risk with cost, basis risk or counterparty exposure.

A statistic ranging from minus one to plus one that describes how two return series move together.

Example: A correlation near zero means two assets have shown little consistent co-movement.

Correlation is a statistic ranging from minus one to plus one that describes how two return series move together; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

A correlation near zero means two assets have shown little consistent co-movement. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

To use Correlation, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total returnThe complete investment result from price changes plus income, assuming distributions are included.; a precise decimal does not compensate for mismatched inputs.

A measure of how two variables or asset returns vary together.

Example: Positive covariance means the two return series tend to be above or below their averages together.

Covariance is a measure of how two variables or asset returns vary together; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

For example, positive covariance means the two return series tend to be above or below their averages together. It does not by itself establish skill, safety or the return an investor will realise.

A sound reading of Covariance requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion.

Spreading investments across assets, issuers, sectors, or markets to reduce dependence on one exposure.

Example: A fund holds government bonds, bank deposits, telecom shares, and consumer stocks instead of one company.

Diversification means spreading a portfolio across investments that do not all depend on the same outcome. Its purpose is to reduce the damage one company, issuer, sector, country or risk can cause.

A portfolio holding government bonds, bank deposits, telecom shares and consumer companies is more varied than one holding a single bank. But owning ten banks is still concentrated in banking, and assets that normally behave differently can fall together during a crisis.

Count the sources of risk, not merely the number of holdings. Check largest positions, sectors, issuers, currencies and countries, including exposures hidden inside funds. Diversification can reduce company-specific risk; it cannot eliminate broad market losses or guarantee a positive return.

A measure of how a fund performed relative to its benchmark during periods when the benchmark fell.

Example: A down-capture ratio of 70 means the fund lost less than the benchmark in declining periods.

Down-Capture Ratio is a measure of how a fund performed relative to its benchmark during periods when the benchmark fell; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

A down-capture ratio of 70 means the fund lost less than the benchmark in declining periods. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

A sound reading of Down-Capture Ratio requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion.

A measure of returns falling below a chosen minimum or target.

Example: The Sortino ratio uses downside deviation instead of total volatility.

Downside Deviation is a measure of returns falling below a chosen minimum or target. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

The Sortino ratio uses downside deviation instead of total volatility.

To use Downside Deviation, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return. Historical measurement describes the sample; it does not guarantee the next period.

A decline from a previous portfolio or asset-value peak.

Example: A fund at ₦90 after peaking at ₦100 is in a 10% drawdown.

Drawdown is a decline from a previous portfolio or asset-value peak. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

A fund at ₦90 after peaking at ₦100 is in a 10% drawdown. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

To use Drawdown, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return. Historical measurement describes the sample; it does not guarantee the next period.

A measure of a fixed-income portfolio's sensitivity to changes in interest rates.

Example: A bond fundA fund that invests mainly in bonds with the aim of earning interest income and possible capital gains. with duration of five years may fall roughly 5% if yields rise one percentage point, before other effects.

Duration estimates how sensitive a bond or fixed-income portfolio is to changes in market yields. Although expressed in years, it is not simply the time remaining until principalThe original amount of money invested or lent, excluding later returns. is repaid.

As a first approximation, modified durationAn estimate of the percentage price change for a one-percentage-point change in yield. of five means a one-percentage-point rise in yield could reduce price by about 5%; a one-point fall could raise it by about 5%. The estimate is less exact for large rate changes and can be affected by embedded options.

Check which duration measure is reported, the currency and yield curveA line showing yields on similar debt securities across different maturities. involved, and whether the portfolio contains callable or floating-rate instruments. Longer duration usually means greater interest-rate sensitivityThe degree to which an investment's price responds to changes in market interest rates.. Credit spreads and defaults can still move prices even when government yields do not change.

Another name for Conditional Value at Risk, measuring the average loss beyond a selected tail threshold.

Example: A bank uses expected shortfall to assess extreme trading losses.

Expected Shortfall describes another name for Conditional Value at Risk, measuring the average loss beyond a selected tail threshold; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

A bank uses expected shortfall to assess extreme trading losses.

To use Expected Shortfall, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return. A strong figure may reflect leverageThe use of borrowed money or derivatives to increase exposure relative to invested capital., concentration or a favourable period rather than repeatable skill.

Volatility calculated from past price or return data.

Example: The analyst measures the standard deviation of daily returns over the last year.

Historical Volatility describes volatility calculated from past price or return data; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

For example, the analyst measures the standard deviation of daily returns over the last year. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

Before relying on it, check the source series, treatment of distributions and external cash flows, and whether the measure is historical, estimated or annualised. Also compare Volatility, defined here as the degree and frequency of price or return fluctuations.

The future volatility level implied by an option's market price.

Example: Option prices rise when traders expect larger future market moves.

Implied Volatility is the future volatility level implied by an option's market price; the calculation behind the measure is only comparable across investments when dates, compounding, fees, distributions and currency are handled consistently.

Option prices rise when traders expect larger future market moves. It does not by itself establish skill, safety or the return an investor will realise.

A sound reading of Implied Volatility requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion. A strong figure may reflect leverage, concentration or a favourable period rather than repeatable skill.

Active return relative to the volatility of active return.

Example: A manager that consistently beats the benchmark with small deviations has a high information ratio.

Information Ratio describes active return relative to the volatility of active return. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

A manager that consistently beats the benchmark with small deviations has a high information ratio; Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

Before relying on it, check the source series, treatment of distributions and external cash flows, and whether the measure is historical, estimated or annualised.

Return above that predicted by the Capital Asset Pricing ModelA model linking expected return to the risk-free rate, market risk premium, and an asset's beta. for the portfolio's beta.

Example: Positive Jensen's alpha indicates performance beyond the model's expected returnThe probability-weighted average of possible future returns or an estimate of future return..

Jensen's Alpha means return above that predicted by the Capital Asset Pricing Model for the portfolio's beta. Alpha depends on the benchmark and risk model chosen; changing either can turn the same realised return from positive alpha into no alpha at all.

Positive Jensen's alpha indicates performance beyond the model's expected return. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

For Jensen's Alpha, record the exact formula, data frequency, period and benchmark; compare only figures constructed on the same basis and inspect outliers rather than accepting the headline. Historical measurement describes the sample; it does not guarantee the next period.

The error of using information in a historical test before it would actually have been available.

Example: A backtest selects companies using annual results published months later.

Look-Ahead Bias is the error of using information in a historical test before it would actually have been available. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

A backtest selects companies using annual results published months later; Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

To use Look-Ahead Bias, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return. Historical measurement describes the sample; it does not guarantee the next period.

The date when a debt investment's principal is scheduled to be repaid.

Example: A 10-year government bondA debt security issued by a government or government treasury. issued in 2024 may mature in 2034 and repay principal then.

Maturity is the contractual date on which a debt investment's principal is scheduled to be repaid. A bond issued in 2024 with a ten-year term would normally mature in 2034.

Until maturity, the bond may pay coupons and its market price can rise or fall. Repayment is not certain merely because a date is printed in the contract; it still depends on the issuer meeting its obligation. Callable or extendible instruments may also have additional relevant dates.

Do not confuse maturity with duration. Two bonds maturing together can have different interest-rate sensitivity because their coupons and cash-flow timing differ. Check the exact date, repayment amount, currency, call provisions and issuer credit riskThe possibility that a borrower or issuer will fail to make promised payments or suffer a downgrade., especially when matching an investment to a future need.

The largest peak-to-trough decline over a measurement period.

Example: A portfolio falling from ₦10 million to ₦7 million before recovering has a 30% maximum drawdown.

Maximum Drawdown is the largest peak-to-trough decline over a measurement period; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

A portfolio falling from ₦10 million to ₦7 million before recovering has a 30% maximum drawdown. Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

To use Maximum Drawdown, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return; the metric can clarify one dimension of performance while hiding another.

A relationship in which two assets tend to move in opposite directions.

Example: A protective asset may rise when equities fall, creating negative correlation.

Negative Correlation is a relationship in which two assets tend to move in opposite directions; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

A protective asset may rise when equities fall, creating negative correlation. It does not by itself establish skill, safety or the return an investor will realise.

To use Negative Correlation, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return.

The probability-weighted gains above a threshold divided by losses below that threshold.

Example: The ratio compares the entire return distributionIncome or realised gains paid by a fund to its unitholders. around the investor's required returnThe minimum expected return an investor demands for the time and risk involved..

Omega Ratio is the probability-weighted gains above a threshold divided by losses below that threshold; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

In formula form, the measure uses probability-weighted gains above a threshold as the numerator and losses below that threshold as the denominator. The ratio compares the entire return distribution around the investor's required return. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

A sound reading of Omega Ratio requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion. The metric can clarify one dimension of performance while hiding another.

A strategy test using data not employed to design or fit the strategy.

Example: The model is built on 2015–2022 data and tested on 2023–2025 data.

Out-of-Sample Test is a strategy test using data not employed to design or fit the strategy; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

The model is built on 2015–2022 data and tested on 2023–2025 data. It does not by itself establish skill, safety or the return an investor will realise.

A sound reading of Out-of-Sample Test requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion.

Designing a model so closely around past data that it performs poorly on new data.

Example: A strategy with dozens of tuned rules excels in backtests but fails in live markets.

Overfitting describes designing a model so closely around past data that it performs poorly on new data; the calculation behind the measure is only comparable across investments when dates, compounding, fees, distributions and currency are handled consistently.

A strategy with dozens of tuned rules excels in backtests but fails in live markets. It does not by itself establish skill, safety or the return an investor will realise.

To use Overfitting, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return.

A measure of how frequently a fund buys and sells portfolio holdings.

Example: A 70% turnover rate suggests securities equal to a substantial share of the portfolio changed during the period.

Portfolio turnover indicates how much of a fund's holdings were bought or sold during a period. A higher figure generally means the portfolio changed more frequently.

A 70% annual turnover rate suggests trading equal to a substantial portion of the portfolio, but it does not necessarily mean exactly 70% of every position was replaced. Published formulas can use purchases, sales or the smaller of the two relative to average assets.

Check the formula and period before comparing funds. High turnover may reflect an active strategy, investor flows or a change in manager, and it can increase brokerage, spreads and market impactThe price movement caused by placing or executing an order.. Low turnover can reduce costs but does not prove that the holdings are good or that the manager is attentive.

A relationship in which two assets tend to move in the same direction.

Example: Bank shares and a banking-sector index usually have positive correlation.

Positive Correlation is a relationship in which two assets tend to move in the same direction; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

Bank shares and a banking-sector index usually have positive correlation; Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

For Positive Correlation, record the exact formula, data frequency, period and benchmark; compare only figures constructed on the same basis and inspect outliers rather than accepting the headline. A precise decimal does not compensate for mismatched inputs.

The time required for an investment to regain a previous peak after a drawdown.

Example: The index takes 18 months to recover its pre-crash level.

Recovery Period is the time required for an investment to regain a previous peak after a drawdown. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

The index takes 18 months to recover its pre-crash level.

A sound reading of Recovery Period requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion. The metric can clarify one dimension of performance while hiding another.

The proportion of return variation statistically explained by movements in a benchmark or model.

Example: An R-squared of 0.90 means the benchmark explains much of the fund's historical variation.

R-Squared is the proportion of return variation statistically explained by movements in a benchmark or model; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

An R-squared of 0.90 means the benchmark explains much of the fund's historical variation. It does not by itself establish skill, safety or the return an investor will realise.

Before relying on it, check the source series, treatment of distributions and external cash flows, and whether the measure is historical, estimated or annualised.

A distortion caused by choosing a sample that is not representative of the intended population.

Example: Studying only successful investors gives an inflated view of typical outcomes.

Selection Bias is a distortion caused by choosing a sample that is not representative of the intended population; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

Studying only successful investors gives an inflated view of typical outcomes. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

To use Selection Bias, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return; a precise decimal does not compensate for mismatched inputs.

The variance of observations below a selected mean or target.

Example: An investor uses semi-variance to focus only on harmful fluctuations.

Semi-Variance is the variance of observations below a selected mean or target; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

An investor uses semi-variance to focus only on harmful fluctuations; Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

To use Semi-Variance, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return.

Excess return over a risk-free rateThe return assumed to be available from an investment with negligible default risk over a matching period. divided by total return volatility.

Example: A fund earning 12% above cash with 8% volatility has a higher Sharpe ratio than one earning the same with 15% volatility.

Sharpe Ratio describes excess return over a risk-free rate divided by total return volatility; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

In formula form, the measure uses excess return over a risk-free rate as the numerator and total return volatility as the denominator. A fund earning 12% above cash with 8% volatility has a higher Sharpe ratio than one earning the same with 15% volatility. Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

A sound reading of Sharpe Ratio requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion.

Excess return over a target divided by downside deviation.

Example: A strategy with occasional large gains but limited harmful declines may score well on the Sortino ratio.

Sortino Ratio describes excess return over a target divided by downside deviation. The measure is a measurement tool, not an economic result by itself; its usefulness depends on the inputs and on the question the investor is trying to answer.

In formula form, the measure uses excess return over a target as the numerator and downside deviation as the denominator. A strategy with occasional large gains but limited harmful declines may score well on the Sortino ratio.

To use Sortino Ratio, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return. Historical measurement describes the sample; it does not guarantee the next period.

A measure of how widely returns vary around their average.

Example: A fund with 20% annualised standard deviation has shown more volatility than one at 8%.

Standard Deviation is a measure of how widely returns vary around their average; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

A fund with 20% annualised standard deviation has shown more volatility than one at 8%. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

A sound reading of Standard Deviation requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion. Also compare Variance, defined here as the average squared deviation of returns from their mean.

The error caused by analysing only investments that survived while excluding failed or delisted ones.

Example: A fund study overstates returns by omitting funds that closed.

Survivorship Bias is the error caused by analysing only investments that survived while excluding failed or delisted ones; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

A fund study overstates returns by omitting funds that closed; Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

A sound reading of Survivorship Bias requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion.

The actual return difference between an index-tracking fundA fund designed to reproduce the return of a specified index before fees and implementation differences. and its benchmark over a period.

Example: A fund returns 9.4% while its index returns 10%, creating a negative 0.6% tracking difference.

Tracking difference is the fund's return minus its benchmark's return over a stated period. It shows the actual amount by which an index-tracking fund led or lagged the index.

If the fund returns 9.4% and the index returns 10%, tracking difference is −0.6 percentage points. Fees, taxes, trading costs, cash holdings, samplingTracking an index with a representative subset of constituents. and securities lendingThe temporary transfer of securities to a borrower in exchange for collateral and a fee. can all contribute to the gap.

Use the same dates, currency and total-return convention for both figures, and check the sign convention used by the publisher. Review several periods because one result may be unusual. Tracking difference measures the size and direction of the realised gap; tracking error measures how much that gap fluctuates across periods.

The variability of the difference between a fund's return and its benchmark return.

Example: An index fundA fund designed to track the holdings and performance of a stated market index. that frequently differs from its index by wide margins has higher tracking error.

Tracking error measures how much a fund's return difference from its benchmark varies from period to period. It is usually calculated as the standard deviation of those periodic differences.

Suppose an index fund differs from its index by −0.1%, −1.0%, +0.4% and −0.7% in four periods. Those changing gaps create tracking error. A fund that trails by exactly 0.5% every period can have low tracking error even though it consistently underperforms.

Use the correct benchmark, return frequency and time window. Lower tracking error is normally desirable for a strict index tracker, while an active fundA fund whose manager makes discretionary investment decisions to outperform or meet a stated objective. is expected to depart more. Review tracking difference as well: error measures variability of the gap, while difference measures the actual return shortfall or excess.

Excess return divided by portfolio beta.

Example: The ratio evaluates return earned per unit of market riskThe possibility of loss because broad market prices or rates move against an investment..

Treynor Ratio describes excess return divided by portfolio beta; the measure compresses investment behaviour into a number, so the formula, measurement period, cash-flow treatment and benchmark are part of the meaning rather than optional details.

In formula form, the measure uses excess return as the numerator and portfolio beta as the denominator. The ratio evaluates return earned per unit of market risk; Do not extend a single-period result beyond its stated period or treat it as a forecast without an explicit assumption.

A sound reading of Treynor Ratio requires the numerator, denominator, observation window and assumptions; then test whether one unusual period is dominating the conclusion.

A measure of how a fund performed relative to its benchmark during periods when the benchmark rose.

Example: An up-capture ratio of 110 means the fund gained more than the benchmark in rising periods.

Up-Capture Ratio is a measure of how a fund performed relative to its benchmark during periods when the benchmark rose; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

An up-capture ratio of 110 means the fund gained more than the benchmark in rising periods. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

Before relying on it, check the source series, treatment of distributions and external cash flows, and whether the measure is historical, estimated or annualised; a strong figure may reflect leverage, concentration or a favourable period rather than repeatable skill.

An estimate of a loss threshold that should not be exceeded at a stated confidence level over a stated period, under model assumptions.

Example: A one-day 95% VaR of ₦2 million means the model expects larger losses on about 5% of days.

Value at Risk is an estimate of a loss threshold that should not be exceeded at a stated confidence level over a stated period, under model assumptions. The risk identifies a specific path through which an investment can lose value, fail to pay, become inaccessible or deliver a result different from what the investor expected.

A one-day 95% VaR of ₦2 million means the model expects larger losses on about 5% of days.

Do not stop at naming Value at Risk; measure where possible, inspect contractual protections and plan the action to take before the adverse event occurs. Past stability can hide a risk that appears only under stress.

The average squared deviation of returns from their mean.

Example: A more widely dispersed return series has higher variance.

Variance is the average squared deviation of returns from their mean; a value reported for the measure can change materially when the return series, benchmark, observation frequency or treatment of contributions and withdrawals changes.

A more widely dispersed return series has higher variance. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

To use Variance, reproduce the calculation from source data, align the dates and currency, and confirm whether the result is gross or net, nominal or real, and price-only or total return. Also compare Standard Deviation, defined here as a measure of how widely returns vary around their average.

The degree and frequency of price or return fluctuations.

Example: A share that repeatedly moves 8% in a day is highly volatile.

Volatility is the degree and frequency of price or return fluctuations; the calculation behind the measure is only comparable across investments when dates, compounding, fees, distributions and currency are handled consistently.

A share that repeatedly moves 8% in a day is highly volatile. Interpret it using a like-for-like benchmark and the same treatment of income, fees and cash flows.

For Volatility, record the exact formula, data frequency, period and benchmark; compare only figures constructed on the same basis and inspect outliers rather than accepting the headline. A precise decimal does not compensate for mismatched inputs.