If investors want portfolios with small risk, should they look for investments that have positive covariance, have negative covariance, or are uncorrelated? Does a portfolio formed from the mix of three investments have more risk than a portfolio formed from two
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If investors want portfolios with small risk, should they look for investments that have positive covariance, have negative covariance, or are uncorrelated?
Does a portfolio formed from the mix of three investments have more risk than a portfolio formed from two?
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Solved in 4 steps
- Explain how a given investor chooses an optimal portfolio. Will this choice always be a diversified portfolio, or could it be a single asset? Explain your answer based on the utility curves and the efficient frontier.What is the expected return from an investment if there is a 20 percent chance of a 4 percent return, a 40 percent chance of a 8 percent return, and a 40 percent chance of a 12 percent returnGiven the following information, what is the standard deviation of the returns on a portfolio that is invested 35 percent in both Stocks A and C, and 30 percent in Stock B? (see attached chart)
- Consider two investors A and B.If the Certainty-Equivalent end-of-period wealth of A is less than the Certainty-Equivalent end-of-period wealth of B for the same portfolio choice,then A. Risk aversion of A > Risk aversion of B B. Risk aversion of A = Risk aversion of B C. Risk aversion of A< Risk aversion of B D. Not enough Information Justify your choice in a sentence or two：What is covariance, and why is it important in portfolio theory?Show, using equations or a diagram, that an expected utility maximizer requires a higher return for a riskier asset
- A moderately risk-averse investor has 50% of her portfolio invested in stocks and 50% in risk-free Treasury bills. Show how each of the following events will affect the investor’s budget line and proportion of stocks in her portfolio: A. The standard deviation of the return on the stock market increases, but the expected return on the stock market remains the same. B. The expected return on the stock market increases, but the standard deviation of the stock market remains the same. C. The return on risk-free Treasury bills increases.Which statement about portfolio diversification is CORRECT? i) Typically, as more securities are added to a portfolio, total risk would be expected to decrease at an increasing rate.ii) Proper diversification can reduce or eliminate total risk.iii) The risk-reducing benefits of diversification do not occur meaningfully until at least 50-60 individual securities have been purchased.iv) Because diversification reduces a portfolio's total risk, it necessarily reduces the portfolio's expected return.Using the Utility Function in Portfolio Management, where the utility function is the constant relative risk aversion utility of wealth function U(W) = W^(gamma)/gamma, set gamma to 0.5 and consider a 50-50 bet on winning 50,000 or getting nothing. What is the certainty equivalent wealth for this bet under these assumptions? Group of answer choices 30,000 10,000 25,000 12,500
- You are considering two portfolios. Portfolio A has an expected return of 15% and a standard deviation of 30%. Portfolio B has an expected return of 6% and a standard deviation of 19%. What is the certainty equivalent of these portfolios, specifically when your risk aversion is such that you are indifferent between portfolio A and portfolio B?An investor is considering three strategies for a $1,000 investment. The probable returns are estimated as follows: • Strategy 1: A profit of $10,000 with probability 0.15 and a loss of $1,000 with probability 0.85 • Strategy 2: A profit of $1,000 with probability 0.50, a profit of $500 with probability 0.30, and a loss of $500 with probability 0.20 • Strategy 3: A certain profit of $400 Which strategy has the highest expected profit? Explain why you would or would not advise the investor to adopt this strategy.Why does the risk-adjusted discount rate reduce the investment's appeal?