Risk-Adjusted Returns Explained: Sharpe, Sortino, Calmar and Information Ratio for Indian Investors

Risk-Adjusted Ratios at a Glance

Bull Run's Four-Layer Risk-Adjusted Return Map

Step 1: Build a Clean Return Series

Use consistent periodic portfolio values after adjusting for external cash flows. Monthly returns are often practical for long-term personal portfolios because daily data can be noisy and incomplete.

For multiple cash flows within a period, use time-weighted subperiod calculations or a recognised approximation. Keep personal XIRR separate from manager or strategy performance.

Step 2: Select the Risk-Free Rate and Target Return

The Sharpe Ratio requires a risk-free return. The Sortino Ratio requires a minimum acceptable return, which may be:

• zero;
• a cash or short-term government-security proxy;
• inflation;
• the investor's required return;
• a financial-goal hurdle.

Use the same periodic frequency as the portfolio returns. An annual rate should be converted consistently before subtracting it from monthly returns.

The Sharpe Ratio

For periodic data:

The ratio rewards excess return and penalises variability. It is most informative when return distributions are reasonably stable and liquidity is sufficient for observed prices to reflect economic risk.

Worked Sharpe Example

Assume an illustrative portfolio produced 15% annualised return, the selected risk-free rate was 6%, and annualised volatility was 12%.

A second portfolio returned 13% with 7% volatility:

The second portfolio produced a lower absolute return but a higher return per unit of historical volatility.

How to Interpret the Sharpe Ratio

These are diagnostic ranges, not guarantees or universal standards.

Where Sharpe Can Mislead

• Upside volatility is treated as undesirable.
• Illiquid holdings can show artificially smooth prices.
• Option-like strategies can earn steady gains before rare losses.
• One favourable market regime can dominate a short sample.
• Leverage can alter both return and volatility.
• Non-normal return distributions reduce interpretability.
• A weak benchmark is irrelevant because Sharpe is not benchmark-relative.

CFA Institute research notes that substantial skewness can reduce the usefulness of the Sharpe Ratio as a complete description of risk-adjusted return.

The Sortino Ratio

Downside deviation counts returns below a chosen target:

The Sortino Ratio is useful when investors care more about failing to meet a goal than about positive volatility.

Worked Sortino Example

Assume annualised portfolio return is 14%, the investor's target is 7%, and annualised downside deviation is 8%.

Another portfolio returns 13% with downside deviation of 5%:

The second portfolio delivered less return but experienced fewer or smaller observations below the target.

Choosing the Sortino Target

Changing the target changes the ratio. Disclose the target whenever reporting Sortino.

Sharpe vs Sortino

The Calmar Ratio

Maximum drawdown measures the largest peak-to-trough decline:

Worked Calmar Example

Portfolio A returned 16% annualised and experienced a 32% maximum drawdown.

Portfolio B returned 13% with an 18% maximum drawdown.

Portfolio B delivered lower return but better return relative to its worst historical loss.

Why Calmar Matters to Real Investors

Volatility is statistical. Drawdown is experiential. A 40% decline can cause investors to abandon a sound strategy, especially when the portfolio funds near-term goals.

Calmar is useful for:

• concentrated portfolios;
• small-cap strategies;
• tactical portfolios;
• comparing strategies with similar returns but different drawdowns;
• assessing whether the investor could realistically remain invested.

Where Calmar Can Mislead

• It depends on one worst historical event.
• Recent portfolios may not have experienced a full stress cycle.
• Maximum drawdown can change sharply after one bad month.
• It ignores the duration of the drawdown.
• It does not separate temporary mark-to-market loss from permanent impairment.
• Illiquid prices can understate the true achievable drawdown.

Add recovery time and underwater duration to the analysis.

Drawdown Recovery Time

Two portfolios can have the same maximum drawdown but very different investor experiences. One may recover in six months; another may remain below peak for five years.

The Information Ratio

SEBI's January 2025 circular introduced Information Ratio disclosure for relevant mutual-fund schemes using excess return relative to the Tier 1 benchmark and the variability of that excess return.

Worked Information Ratio Example

Assume a portfolio produced average annualised active return of 3% with tracking error of 6%.

Another portfolio produced 2% active return with 2.5% tracking error:

The second portfolio generated less alpha but did so more consistently relative to its benchmark.

Benchmark Choice Controls the Information Ratio

A mid-cap portfolio compared with the Nifty 50 can show active returns driven by market-cap exposure rather than selection skill. A multi-asset portfolio compared with pure equity can produce misleading tracking error.

The benchmark should match:

• asset allocation;
• market-cap universe;
• sector or factor mandate;
• geography and currency;
• total-return methodology.

Sharpe vs Information Ratio

Bull Run's Return-to-Portfolio-at-Risk Ratio

Historical ratios can miss fundamental loss scenarios. Bull Run adds a scenario-based diagnostic:

Portfolio-at-risk is calculated from position weights and severe downside cases across stocks and clusters.

Example:

• Expected annual return: 14%
• Estimated severe portfolio-at-risk: 28%

This is an analytical framework, not a validated forecasting standard. It forces historical performance analysis to confront current fundamental downside.

Use Rolling Periods

A single start and end date can be dominated by luck. Calculate rolling:

• one-year Sharpe;
• three-year Sharpe and Sortino;
• three-year Information Ratio;
• rolling maximum drawdown;
• rolling active return;
• percentage of periods with positive alpha.

Rolling analysis reveals whether a strong full-period ratio came from one favourable segment.

Use Multiple Market Regimes

A portfolio with an excellent long-run Sharpe Ratio may depend heavily on one regime.

Risk-Adjusted Return After Costs and Tax

For direct-stock portfolios, estimate brokerage, levies, spreads, market impact and realised taxes. For funds, review expense ratio, tracking difference, exit load and investor-level tax on redemption or switching.

Calculate ratios on both gross and investor-net returns where data permits. A high-turnover strategy may look attractive before friction and ordinary after it.

Worked Example 1: High Return, Low Efficiency

Portfolio A returns 20% with 28% volatility and a 45% drawdown. Portfolio B returns 15% with 12% volatility and a 20% drawdown. Using the same risk-free rate, Portfolio B can have stronger Sharpe and Calmar ratios despite lower headline return.

Worked Example 2: Smooth Illiquid Portfolio

A portfolio of thinly traded small caps reports low monthly volatility because several stocks do not trade continuously. Its Sharpe Ratio looks excellent.

Liquidity stress reveals wide spreads, lower circuits and long exit periods. The observed ratio overstates executable risk-adjusted performance.

Worked Example 3: Index-Like Active Fund

An active fund produces 1% annualised alpha with 1.5% tracking error. Its Information Ratio is approximately 0.67. Active Share is low.

The fund is consistent relative to the benchmark, but investors must still ask whether fees justify the small deviation from a lower-cost index alternative.

Worked Example 4: Concentrated Winner

A direct portfolio outperforms because one 15% stock triples. Sharpe and Information Ratio improve.

The investor should recalculate concentration and severe portfolio-at-risk. Historical success may have increased future dependence on the same company.

Worked Example 5: Strong Sortino, Weak Sharpe

A momentum strategy has frequent large positive months and moderate downside. Total volatility is high, reducing Sharpe, while downside deviation is lower, improving Sortino.

The difference is informative, not contradictory. The ratios use different definitions of risk.

Worked Example 6: Good Calmar, Slow Recovery Hidden

Two portfolios have a 25% maximum drawdown and similar annualised returns. One recovers in nine months; the other remains underwater for four years.

Calmar is similar, but recovery-time analysis shows very different suitability for investors with approaching goals.

Worked Example 7: Wrong Benchmark, Wrong IR

A small-cap portfolio is compared with a large-cap index. It generates high active return during a small-cap rally and high tracking error.

The Information Ratio cannot isolate selection skill because the benchmark does not match the opportunity set.

Worked Example 8: Negative Sharpe in a Necessary Hedge

A defensive asset produces a negative standalone Sharpe Ratio during a strong equity market but reduces total portfolio drawdown and improves liquidity.

Standalone ratios should not be used without considering portfolio role.

Worked Example 9: Tax Changes the Ranking

Two strategies have similar gross Sharpe Ratios. One realises gains frequently and creates higher investor tax drag. After-tax return reduces its net Sharpe below the lower-turnover strategy.

Worked Example 10: Short Sample Creates False Confidence

A strategy launched after a market crash experiences two strong years and no severe decline. Sharpe, Sortino and Calmar all look exceptional.

The correct conclusion is limited evidence. Stress tests and longer comparable histories remain necessary.

The Risk-Adjusted Performance Scorecard

Quarterly Risk-Adjusted Return Audit

Common Risk-Adjusted Return Mistakes

1. Comparing ratios built from different frequencies

Daily, monthly and annual calculations are not automatically comparable.

2. Using a price index instead of TRI

Benchmark return may omit dividends.

3. Changing the risk-free rate selectively

The comparison becomes inconsistent.

4. Reporting Sortino without the target

The denominator depends on the selected hurdle.

5. Treating volatility as permanent-loss risk

Governance, debt and dilution require separate analysis.

6. Ignoring drawdown duration

Equal drawdowns can create very different investor outcomes.

7. Using a mismatched benchmark for Information Ratio

Market-cap or sector exposure can be mistaken for skill.

8. Ignoring costs and taxes

Gross efficiency may not survive implementation.

9. Trusting short histories

A strategy may not have experienced a difficult regime.

10. Selecting the ratio that looks best

Different measures should diagnose different risks.

How Bull Run Features Fit the Analysis

Use the Bull Run watchlist to track candidate risk, valuation and portfolio role before adding a new source of volatility.

Use Bull Run Compare to compare the fundamental quality behind two return streams. Similar historical ratios can hide very different debt, cash-flow and valuation risks.

The Stock Battle tool can compare holdings competing for one risk budget. Smart Screeners can support a repeatable process instead of performance chasing.

Primary Sources

• SEBI: Information Ratio disclosure for mutual-fund schemes
• NSE Indices: Total Return Index concept
• CFA Institute: Sharpe Ratio and Information Ratio
• CFA Institute: limitations of Sharpe Ratio under skewed returns
• Sortino and co-authors: downside risk-adjusted performance
• Bull Run data sources and coverage policy