Suppose there are two stocks that are uncorrelated. Each of these has variance of 1, and there are expected returns are r1 and r2, respectively. The risk-free rate is rf . Find the portfolio of weights w1 and w2 for the Markowitz (market) portfolio. Show that for some value of rf there is no Markowitz portfolio.

Why do you think the compensation plans differ at the two firms? in particular, why do you think kaufmann’s pays commissions to salespeople, while parkleigh does not? why does parkleigh offer employees discounts on purchases, while kaufmann’s does not?

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

Which of the following describes one of the ways that the demographics of an area affect the price of housing in that area? a. when more people have children, their incomes tend to be higher and the housing prices are also higher. b. older people are more likely to stay in their houses, creating a seller's market that keeps prices low. c. an area with a lower population density won't have enough construction workers to build new houses quickly. d. an area with younger people will have a higher demand for rentals and a lower demand for buying.