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Common Measures of Risk
Role of Risk Management in Investment
Risk management is central to investment decision-making. It involves identifying potential risks, analysing how much risk an investment carries, and then deciding whether to accept that risk or take steps to reduce it. Investors use quantitative measures to understand and compare risk across different investments.
Standard Deviation
Standard deviation measures how much an investment’s returns fluctuate around its average return. A higher standard deviation indicates higher volatility and therefore higher risk, while a lower standard deviation suggests more stable and predictable returns.
Example: If Stock A’s returns vary widely year to year, it has a higher standard deviation than Stock B, whose returns are more stable.
Beta
Beta measures a security’s sensitivity to movements in the overall market and represents systematic risk. A beta of 1 means the security moves in line with the market. A beta greater than 1 indicates higher volatility than the market, while a beta less than 1 indicates lower volatility.
Example: A stock with a beta of 1.5 tends to rise 15% when the market rises 10%, but also falls more when the market declines.
Value at Risk (VaR)
Value at Risk estimates the maximum potential loss an investment or portfolio may suffer over a specific time period at a given confidence level. It answers the question: “How much could I lose in a worst-case scenario under normal market conditions?”
Example: A one-day VaR of USD 1 million at 95% confidence means there is a 95% chance that losses will not exceed USD 1 million in one day.
Conditional Value at Risk (CVaR)
Conditional Value at Risk, also known as Expected Shortfall, measures the average loss that occurs when losses exceed the VaR threshold. It focuses on extreme downside risk and provides a deeper view of potential losses during severe market stress.
Example: If VaR captures the loss limit, CVaR estimates how severe losses could be when that limit is breached.
Key Point to Remember
Standard deviation measures volatility, beta measures market-related risk, VaR estimates potential losses under normal conditions, and CVaR captures extreme downside risk. Together, these measures help investors make informed and disciplined investment decisions.
Common Measures of Risk
Role of Risk Management in Investment
Risk management is central to investment decision-making. It involves identifying potential risks, analysing how much risk an investment carries, and then deciding whether to accept that risk or take steps to reduce it. Investors use quantitative measures to understand and compare risk across different investments.
Standard Deviation
Standard deviation measures how much an investment’s returns fluctuate around its average return. A higher standard deviation indicates higher volatility and therefore higher risk, while a lower standard deviation suggests more stable and predictable returns.
Example: If Stock A’s returns vary widely year to year, it has a higher standard deviation than Stock B, whose returns are more stable.
Beta
Beta measures a security’s sensitivity to movements in the overall market and represents systematic risk. A beta of 1 means the security moves in line with the market. A beta greater than 1 indicates higher volatility than the market, while a beta less than 1 indicates lower volatility.
Example: A stock with a beta of 1.5 tends to rise 15% when the market rises 10%, but also falls more when the market declines.
Value at Risk (VaR)
Value at Risk estimates the maximum potential loss an investment or portfolio may suffer over a specific time period at a given confidence level. It answers the question: “How much could I lose in a worst-case scenario under normal market conditions?”
Example: A one-day VaR of USD 1 million at 95% confidence means there is a 95% chance that losses will not exceed USD 1 million in one day.
Conditional Value at Risk (CVaR)
Conditional Value at Risk, also known as Expected Shortfall, measures the average loss that occurs when losses exceed the VaR threshold. It focuses on extreme downside risk and provides a deeper view of potential losses during severe market stress.
Example: If VaR captures the loss limit, CVaR estimates how severe losses could be when that limit is breached.
Key Point to Remember
Standard deviation measures volatility, beta measures market-related risk, VaR estimates potential losses under normal conditions, and CVaR captures extreme downside risk. Together, these measures help investors make informed and disciplined investment decisions.
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