Risk Ratios

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Key Components
Beta
Measures the sensitivity of a stock’s returns to overall market returns, indicating market risk.
Standard Deviation
Represents the measure of the dispersion of returns, indicating the stock’s historical volatility.
Sharpe Ratio
Measures the risk-adjusted return of an investment, considering both return and volatility.
Sortino Ratio
Similar to the Sharpe ratio, but only considers downside risk, providing a better risk assessment.
Treynor Ratio
Measures the risk-adjusted return of an investment, considering systematic risk (beta).
Maximum Drawdown
Represents the largest peak-to-trough decline in portfolio value, indicating potential loss.
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Risk RatioDescriptionWhen to UseExampleFormula
BetaMeasures the sensitivity of a stock’s returns to overall market returns, indicating market risk.Assess the stock’s volatility relative to the market.A beta of 1 means the stock’s returns move in line with the market.Beta = Covariance(Stock Returns, Market Returns) / Variance(Market Returns)
Standard DeviationRepresents the measure of the dispersion of returns, indicating the stock’s historical volatility.Assess the historical risk and volatility of a stock.A standard deviation of 15% suggests annual returns typically vary within ±15%.Standard Deviation = √Variance(Stock Returns)
Sharpe RatioMeasures the risk-adjusted return of an investment, considering both return and volatility.Evaluate the excess return per unit of risk taken.A Sharpe ratio of 0.8 suggests a 0.8% excess return per unit of risk.Sharpe Ratio = (Average Portfolio Return – Risk-Free Rate) / Standard Deviation of Portfolio Returns
Sortino RatioSimilar to the Sharpe ratio, but only considers downside risk, providing a better risk assessment.Assess the downside risk-adjusted return of an investment.A Sortino ratio of 1.2 suggests a 1.2% excess return per unit of downside risk.Sortino Ratio = (Average Portfolio Return – Risk-Free Rate) / Downside Deviation of Portfolio Returns
Treynor RatioMeasures the risk-adjusted return of an investment, considering systematic risk (beta).Evaluate the return per unit of systematic risk.A Treynor ratio of 0.1 suggests a 10% return per unit of systematic risk.Treynor Ratio = (Average Portfolio Return – Risk-Free Rate) / Beta
Maximum DrawdownRepresents the largest peak-to-trough decline in portfolio value, indicating potential loss.Assess the historical downside risk and loss potential.A maximum drawdown of 20% means the portfolio experienced a 20% loss from its peak.Maximum Drawdown = Peak Value – Trough Value
Value at Risk (VaR)Estimates the maximum potential loss at a given confidence level, indicating downside risk.Assess the potential loss at a specified confidence level.A VaR of $10,000 at a 95% confidence level suggests a 5% chance of a $10,000 loss.VaR = Portfolio Value * Z-Score * Portfolio Standard Deviation
Conditional Value at Risk (CVaR)Similar to VaR but calculates the average loss beyond VaR, providing a more severe risk assessment.Evaluate the average loss magnitude beyond VaR.A CVaR of $12,000 at a 95% confidence level suggests an average loss beyond VaR of $12,000.CVaR = (1 / (1 – Confidence Level)) * ∫(VaR to ∞) Loss Distribution * Probability Density Function
AlphaMeasures the excess return of a portfolio relative to its expected return given its risk (beta).Assess the ability to generate returns above market expectations.An alpha of 2% indicates a portfolio outperformed market expectations by 2%.Alpha = Portfolio Return – [Risk-Free Rate + Beta * (Market Return – Risk-Free Rate)]
R-SquaredIndicates the proportion of a stock’s variability explained by its benchmark index, measuring risk.Assess how closely a stock’s returns track its benchmark.An R-squared of 0.8 suggests 80% of the stock’s returns are explained by its benchmark.R-Squared = (Covariance(Stock Returns, Benchmark Returns) / Variance(Stock Returns))
Information RatioMeasures the risk-adjusted return of a portfolio relative to its benchmark, considering tracking error.Evaluate the ability to generate excess return while tracking the benchmark.An information ratio of 0.6 suggests 0.6% excess return per unit of tracking error.Information Ratio = (Portfolio Return – Benchmark Return) / Tracking Error (Standard Deviation of Portfolio Returns – Standard Deviation of Benchmark Returns)
Downside DeviationRepresents the measure of the dispersion of negative returns, focusing on downside risk.Assess the downside risk and volatility of a stock.A downside deviation of 10% suggests annual negative returns typically vary within ±10%.Downside Deviation = √Downside Variance(Stock Returns)
Ulcer IndexMeasures the depth and duration of portfolio drawdowns, indicating the pain experienced by investors.Assess the emotional impact of portfolio losses.An ulcer index of 5 suggests relatively mild and short-lived drawdowns.Ulcer Index = √[(1 / n) * Σ(Drawdowns²)]
Tracking ErrorIndicates the standard deviation of the difference between a portfolio’s returns and its benchmark returns.Assess how closely a portfolio tracks its benchmark.A tracking error of 2% suggests the portfolio’s returns typically deviate ±2% from the benchmark.Tracking Error = Standard Deviation of Portfolio Returns – Standard Deviation of Benchmark Returns
Beta SlippageMeasures the difference between a stock’s actual beta and its expected beta, indicating tracking error.Evaluate the tracking error related to a stock’s beta.A beta slippage of 0.1 suggests a tracking error of 10% related to beta.Beta Slippage = Actual Beta – Expected Beta
Conditional Drawdown at Risk (CDaR)Similar to CVaR, it calculates the average drawdown beyond a specified threshold, providing a more severe risk assessment.Evaluate the average drawdown magnitude beyond a threshold.A CDaR of 15% at a 90% confidence level suggests an average drawdown beyond the threshold of 15%.CDaR = (1 / (1 – Confidence Level)) * ∫(Threshold to ∞) Drawdown Distribution * Probability Density Function
Systematic RiskMeasures the portion of total risk that is attributable to market risk factors, such as beta.Assess the risk related to overall market factors.A systematic risk of 0.7 means 70% of total risk is due to market factors.Systematic Risk = Portfolio Standard Deviation * Beta
Unsystematic RiskRepresents the portion of total risk that is not explained by market risk factors, indicating unique or company-specific risk.Assess the unique risk unrelated to market factors.An unsystematic risk of 0.3 means 30% of total risk is unique to the stock.Unsystematic Risk = Portfolio Standard Deviation * √(1 – Beta²)
Correlation CoefficientMeasures the degree to which two assets move in relation to each other, indicating the risk of a portfolio.Assess the relationship and risk associated with asset pairs.A correlation coefficient of -0.4 suggests a moderate negative correlation.Correlation Coefficient = Covariance(Asset 1 Returns, Asset 2 Returns) / (Standard Deviation of Asset 1 Returns * Standard Deviation of Asset 2 Returns)
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Connected Financial Concepts

Circle of Competence

circle-of-competence
The circle of competence describes a person’s natural competence in an area that matches their skills and abilities. Beyond this imaginary circle are skills and abilities that a person is naturally less competent at. The concept was popularised by Warren Buffett, who argued that investors should only invest in companies they know and understand. However, the circle of competence applies to any topic and indeed any individual.

What is a Moat

moat
Economic or market moats represent the long-term business defensibility. Or how long a business can retain its competitive advantage in the marketplace over the years. Warren Buffet who popularized the term “moat” referred to it as a share of mind, opposite to market share, as such it is the characteristic that all valuable brands have.

Buffet Indicator

buffet-indicator
The Buffet Indicator is a measure of the total value of all publicly-traded stocks in a country divided by that country’s GDP. It’s a measure and ratio to evaluate whether a market is undervalued or overvalued. It’s one of Warren Buffet’s favorite measures as a warning that financial markets might be overvalued and riskier.

Venture Capital

venture-capital
Venture capital is a form of investing skewed toward high-risk bets, that are likely to fail. Therefore venture capitalists look for higher returns. Indeed, venture capital is based on the power law, or the law for which a small number of bets will pay off big time for the larger numbers of low-return or investments that will go to zero. That is the whole premise of venture capital.

Foreign Direct Investment

foreign-direct-investment
Foreign direct investment occurs when an individual or business purchases an interest of 10% or more in a company that operates in a different country. According to the International Monetary Fund (IMF), this percentage implies that the investor can influence or participate in the management of an enterprise. When the interest is less than 10%, on the other hand, the IMF simply defines it as a security that is part of a stock portfolio. Foreign direct investment (FDI), therefore, involves the purchase of an interest in a company by an entity that is located in another country. 

Micro-Investing

micro-investing
Micro-investing is the process of investing small amounts of money regularly. The process of micro-investing involves small and sometimes irregular investments where the individual can set up recurring payments or invest a lump sum as cash becomes available.

Meme Investing

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Meme stocks are securities that go viral online and attract the attention of the younger generation of retail investors. Meme investing, therefore, is a bottom-up, community-driven approach to investing that positions itself as the antonym to Wall Street investing. Also, meme investing often looks at attractive opportunities with lower liquidity that might be easier to overtake, thus enabling wide speculation, as “meme investors” often look for disproportionate short-term returns.

Retail Investing

retail-investing
Retail investing is the act of non-professional investors buying and selling securities for their own purposes. Retail investing has become popular with the rise of zero commissions digital platforms enabling anyone with small portfolio to trade.

Accredited Investor

accredited-investor
Accredited investors are individuals or entities deemed sophisticated enough to purchase securities that are not bound by the laws that protect normal investors. These may encompass venture capital, angel investments, private equity funds, hedge funds, real estate investment funds, and specialty investment funds such as those related to cryptocurrency. Accredited investors, therefore, are individuals or entities permitted to invest in securities that are complex, opaque, loosely regulated, or otherwise unregistered with a financial authority.

Startup Valuation

startup-valuation
Startup valuation describes a suite of methods used to value companies with little or no revenue. Therefore, startup valuation is the process of determining what a startup is worth. This value clarifies the company’s capacity to meet customer and investor expectations, achieve stated milestones, and use the new capital to grow.

Profit vs. Cash Flow

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Profit is the total income that a company generates from its operations. This includes money from sales, investments, and other income sources. In contrast, cash flow is the money that flows in and out of a company. This distinction is critical to understand as a profitable company might be short of cash and have liquidity crises.

Double-Entry

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Double-entry accounting is the foundation of modern financial accounting. It’s based on the accounting equation, where assets equal liabilities plus equity. That is the fundamental unit to build financial statements (balance sheet, income statement, and cash flow statement). The basic concept of double-entry is that a single transaction, to be recorded, will hit two accounts.

Balance Sheet

balance-sheet
The purpose of the balance sheet is to report how the resources to run the operations of the business were acquired. The Balance Sheet helps to assess the financial risk of a business and the simplest way to describe it is given by the accounting equation (assets = liability + equity).

Income Statement

income-statement
The income statement, together with the balance sheet and the cash flow statement is among the key financial statements to understand how companies perform at fundamental level. The income statement shows the revenues and costs for a period and whether the company runs at profit or loss (also called P&L statement).

Cash Flow Statement

cash-flow-statement
The cash flow statement is the third main financial statement, together with income statement and the balance sheet. It helps to assess the liquidity of an organization by showing the cash balances coming from operations, investing and financing. The cash flow statement can be prepared with two separate methods: direct or indirect.

Capital Structure

capital-structure
The capital structure shows how an organization financed its operations. Following the balance sheet structure, usually, assets of an organization can be built either by using equity or liability. Equity usually comprises endowment from shareholders and profit reserves. Where instead, liabilities can comprise either current (short-term debt) or non-current (long-term obligations).

Capital Expenditure

capital-expenditure
Capital expenditure or capital expense represents the money spent toward things that can be classified as fixed asset, with a longer term value. As such they will be recorded under non-current assets, on the balance sheet, and they will be amortized over the years. The reduced value on the balance sheet is expensed through the profit and loss.

Financial Statements

financial-statements
Financial statements help companies assess several aspects of the business, from profitability (income statement) to how assets are sourced (balance sheet), and cash inflows and outflows (cash flow statement). Financial statements are also mandatory to companies for tax purposes. They are also used by managers to assess the performance of the business.

Financial Modeling

financial-modeling
Financial modeling involves the analysis of accounting, finance, and business data to predict future financial performance. Financial modeling is often used in valuation, which consists of estimating the value in dollar terms of a company based on several parameters. Some of the most common financial models comprise discounted cash flows, the M&A model, and the CCA model.

Business Valuation

valuation
Business valuations involve a formal analysis of the key operational aspects of a business. A business valuation is an analysis used to determine the economic value of a business or company unit. It’s important to note that valuations are one part science and one part art. Analysts use professional judgment to consider the financial performance of a business with respect to local, national, or global economic conditions. They will also consider the total value of assets and liabilities, in addition to patented or proprietary technology.

Financial Ratio

financial-ratio-formulas

WACC

weighted-average-cost-of-capital
The Weighted Average Cost of Capital can also be defined as the cost of capital. That’s a rate – net of the weight of the equity and debt the company holds – that assesses how much it cost to that firm to get capital in the form of equity, debt or both. 

Financial Option

financial-options
A financial option is a contract, defined as a derivative drawing its value on a set of underlying variables (perhaps the volatility of the stock underlying the option). It comprises two parties (option writer and option buyer). This contract offers the right of the option holder to purchase the underlying asset at an agreed price.

Frequently Asked Questions

What are the key components of Risk Ratios?
The key components of Risk Ratios include Beta, Standard Deviation, Sharpe Ratio, Sortino Ratio, Treynor Ratio. Beta: Measures the sensitivity of a stock’s returns to overall market returns, indicating market risk. Standard Deviation: Represents the measure of the dispersion of returns, indicating the stock’s historical volatility.

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