(8th edition) (the pearson series in economics) robert pindyck, daniel rubinfeld microecon 207

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(8th edition) (the pearson series in economics) robert pindyck, daniel rubinfeld microecon 207

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182 PART • Producers, Consumers, and Competitive Markets Expected return, Rp F IGURE 5.7 THE CHOICES OF TWO DIFFERENT INVESTORS Rm Investor A is highly risk averse Because his portfolio will consist mostly of the risk-free asset, his expected return RA will be only slightly greater than the risk-free return His risk ␴A, however, will be small Investor B is less risk averse She will invest a large fraction of her funds in stocks Although the expected return on her portfolio RB will be larger, it will also be riskier RB UA UB Budget Line RA Rf σA σB σm Standard deviation of return, σp to invest more than she actually owns in the stock market In effect, a person who buys stocks on margin holds a portfolio with more than 100 percent of the portfolio’s value invested in stocks This situation is illustrated in Figure 5.8, which shows indifference curves for two investors Investor A, who is relatively risk-averse, invests about half of his funds in stocks Investor B, however, has an indifference curve that is relatively flat and tangent with the budget line at F IGURE 5.8 BUYING STOCKS ON MARGIN Because Investor A is risk averse, his portfolio contains a mixture of stocks and risk-free Treasury bills Investor B, however, has a very low degree of risk aversion Her indifference curve, UB, is tangent to the budget line at a point where the expected return and standard deviation for her portfolio exceed those for the stock market overall This implies that she would like to invest more than 100 percent of her wealth in the stock market She does so by buying stocks on margin—i.e., by borrowing from a brokerage firm to help finance her investment UB UA RB Budget Line Rm RA Rf σA σm σB

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