Given the following information on securities e and f, calculate the expected return and standard deviation of returns on a portfolio consisting of 40% invested in e and 60% invested in f.

security e security f
expected return 12% 5%
standard deviation of returns 10% 20%
correlation coefficient of returns –0.50

a. 13.5%; 15%
b. 13.8%; 14.4%
c. 13.8%; 10.6%
d. 13.5%; 8.7%

Peppy roaney believes that pizza is a much more versatile dish than most people realize. as the national marketing manager for pizza guys, he observed how consumers were delighted with barbecue pizza, hawaiian pizza, mexican pizza and other unique combinations. his suggestions for other unusual pizzas, however, were met with a negative response by his superiors. even some of his colleagues laughed at his ideas. peppy's confidence in his ability to understand the market has led him to focus on planning a business of his own. peppy realizes that he will take a risk when he leaves his job with pizza guys and embarks upon a new venture: peppy's pizzazzeria. peppy is excited about the potential of profitably catering to the unmet desires of pizza consumers. peppy is confident that peppy's pizzazzeria will be a success, but only if he has enough money to do things right. since peppy has very little personal wealth, he knows he must obtain financial assistance. in order to prepare for meetings with bankers and p

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i. e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?