The correct answer is A. Indicates how much an investment’s performance fluctuates around its average historical return.
Standard deviation is a measure of how spread out the data points are from the mean value. It is calculated as the square root of the variance, which is the average of the squared differences from the mean. Standard deviation can be used to assess the volatility or risk of an investment by showing how much the returns deviate from the expected or average return. A higher standard deviation means that the investment has a wider range of possible outcomes, which implies more uncertainty and risk. A lower standard deviation means that the investment has a narrower range of possible outcomes, which implies more stability and consistency.
B. A standard deviation greater than one indicates a higher level of volatility than the market. This statement is incorrect because the standard deviation of an investment is not directly comparable to the standard deviation of the market, unless they have the same mean return. The standard deviation of an investment only measures the absolute variation of the returns, not the relative variation to the market. A better measure of the relative volatility of an investment to the market is beta, which is the ratio of the covariance of the investment and the market to the variance of the market.
C. Measures the systematic risk of an investment relative to a benchmark index. This statement is incorrect because the standard deviation of an investment does not distinguish between the systematic risk and the unsystematic risk. The systematic risk is the risk that affects the entire market or a large segment of the market, such as inflation, interest rates, or political events. The unsystematic risk is the risk that affects a specific investment or a small group of investments, such as management decisions, product quality, or lawsuits. The standard deviation of an investment captures both types of risk, whereas the beta of an investment only captures the systematic risk.
D. Standard deviation is also referred to as beta. This statement is incorrect because standard deviation and beta are different measures of risk. Standard deviation measures the absolute variation of the returns of an investment, whereas beta measures the relative variation of the returns of an investment to the market. Standard deviation is a measure of total risk, whereas beta is a measure of systematic risk.
