Which of the following statement is false?Group of answer choicesThe risk of a well-diversified portfolio depends on the market risk of the securities included in the portfolio.The variability of a well-diversified portfolio mostly reflects the contributions to risk from the standard deviations of the stocks within that portfolio.If returns on two stocks tended to move in opposite directions, then the covariances and correlations on the two stocks would be negative.Diversification can reduce portfolio risk even in the case when correlations across stock returns equal zero.
Question
Which of the following statement is false?Group of answer choicesThe risk of a well-diversified portfolio depends on the market risk of the securities included in the portfolio.The variability of a well-diversified portfolio mostly reflects the contributions to risk from the standard deviations of the stocks within that portfolio.If returns on two stocks tended to move in opposite directions, then the covariances and correlations on the two stocks would be negative.Diversification can reduce portfolio risk even in the case when correlations across stock returns equal zero.
Solution
The false statement is: "The variability of a well-diversified portfolio mostly reflects the contributions to risk from the standard deviations of the stocks within that portfolio."
This statement is false because the variability (or risk) of a well-diversified portfolio is not primarily determined by the individual standard deviations of the stocks within the portfolio. Instead, it is largely influenced by the correlation of the returns of the different stocks in the portfolio. If the stocks in the portfolio are perfectly positively correlated, then diversification will not reduce risk at all. On the other hand, if the stocks are not perfectly correlated, then diversification can significantly reduce risk. This is the principle behind the saying "Don't put all your eggs in one basket."
Similar Questions
Which of the following statement is false?Group of answer choicesA risk premium can be measured as the difference between a security's return and the Treasury bill return.Diversification reduces the risk of a portfolio because the prices of different securities do not move exactly together.The beta of a well-diversified portfolio is equal to the value weighted average beta of the securities included in the portfolio.The portfolio risk that cannot be eliminated by diversification is called unique risk.
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Which of the following statements about the ‘Portfolio Theory’ section of the lecture material are TRUE:The standard deviation of a portfolio of shares in two different companies will always be less than the weighted average of the standard deviations of the individual shares.A share portfolio that follows a diversified market index is expected to offer a reasonably efficient trade-off between expected return and risk.Question 8AnswerNeither of the statements are true (both are false)Only statement 1 is trueOnly statement 2 is trueBoth statements are true (neither are false)
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