The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 2.00 and a residual standard deviation of 30%.

a. Calculate the total variance for an increase of 0.10 in its beta. (Do not round intermediate calculations. Round your answer to the nearest whole number.)
b. Calculate the total variance for an increase of 2.62% in its residual standard deviation?

At a small store, a customer enters the front door on average every 8 minutes. a prior study indicated that the time between customers entering the front door during weekdays follows an exponential distribution. what is the probability that the time between customers entering the store on a weekday will be less than or equal to 7? select one: a. 62 b. 43 c. 1/8 d. 7/8 e. 58

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.]

Pear co.’s income statement for the year ended december 31, as prepared by pear’s controller, reported income before taxes of $125,000. the auditor questioned the following amounts that had been included in income before taxes: equity in earnings of cinn co. $ 40,000 dividends received from cinn 8,000 adjustments to profits of prior years for arithmetical errors in depreciation (35,000) pear owns 40% of cinn’s common stock, and no acquisition differentials are relevant. pear’s december 31 income statement should report income before taxes of