Suppose stocks offer an expected rate of returns of 10% with a standard deviation of 20%, and gold offers an expected return of 5% with a standard deviation of 25%. (i) If the correlation between gold and stocks is sufficiently low, gold be held as a component in the optimal portfolio. (ii) If the correlation coefficient between gold and stocks is 1.0, then gold be held as a component in the optimal portfolio.

Policymakers are provided data about the private and social benefits of a good being sold in the market. quantity private mb ($) social mb ($) 6 6 9 7 4 7 8 2 5 9 0 3 what is the size of the externality? if the externality is positive, enter a positive number. if negative, make it a negative number. $ given this data, policymakers must decide whether to address the associated externality with a subsidy or a tax. as their economic consultant, which of the two policy tools would you recommend? a subsidy a tax

Eileen's elegant earrings produces pairs of earrings for its mail order catalogue business. each pair is shipped in a separate box. she rents a small room for $150 a week in the downtown business district that serves as her factory. she can hire workers for $275 a week. there are no implicit costs. what is the marginal product of the second worker?

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?