Returns and standard deviations [lo1] consider the following information: state of economy probability of state of economy rate of return if state occurs stock a stock b stock c boom good poor bust .10 .60 .25 .05 .35 .16 −.01 −.12 .40 .17 −.03 −.18 .27 .08 −.04 −.09 page 453 your portfolio is invested 30 percent each in a and c, and 40 percent in b. what is the expected return of the portfolio? what is the variance of this portfolio? the standard deviation? 11. calculating portfolio betas [lo4] you own a stock portfolio invested 20 percent in stock q, 30 percent in stock r, 35 percent in stock s, and 15 percent in stock t. the betas for these four stocks are .79, 1.23, 1.13, and 1.36, respectively. what is the portfolio beta?

Sodas in a can are supposed to contain an average of 12 ounces. this particular brand has a standard deviation of 0.1 ounces, with an average of 12.1 ounces. if the can's contents follow a normal distribution, what is the probability that the mean contents of a six pack are less than 12 ounces?

1. the healthy pantry bought new shelving and financed $7,300 with 36 monthly payments of $267.65 each. suppose the firm pays the loan off with 13 payments left. use the rule of 78 to find the amount of unearned interest. 2. the healthy pantry bought new shelving and financed $7,300 with 36 monthly payments of $267.65 each. suppose the firm pays the loan off with 13 payments left. use the rule of 78 to find the amount necessary to pay off the loan. ! i entered 967.82 for question 1 and 5,455.78 for question 2 and it said it was

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]