You want to evaluate three mutual funds using the Sharpe measure for performance evaluation. The risk-free return during the sample period is 5%. The average returns, standard deviations, and betas for the three funds are given below, as are the data for the S&P 500 Index. Average Return Residual Standard Deviation Beta Fund A 23 % 30 % 1.3 Fund B 20 % 19 % 1.2 Fund C 19 % 17 % 1.1 S&P 500 18 % 15 % 1.0 The investment with the highest Sharpe measure is

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Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

If a government accumulates chronic budget deficits over time, what's one possible result? a. a collective action problem b. a debt crisis c. regulatory capture d. an unfunded liability