On 1/1/2010, Jason and Hillary made an investment of X. Jason invested X into a 12-year annuity-immediate with an annual payment of 5,000 each at an effective interest rate of 7%. Hillary invested X in an investment fund earning an annual effective interest rate of 6%. On 1/1/2013, Hillary used the accumulated value of her account to buy a 16-year annuity-due with annual payments of Z earning an effective interest rate of 8%. Calculate Z

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

If jobs have been undercosted due to underallocation of manufacturing overhead, then cost of goods sold (cogs) is too low and which of the following corrections must be made? a. decrease cogs for double the amount of the underallocation b. increase cogs for double the amount of the underallocation c. decrease cogs for the amount of the underallocation d. increase cogs for the amount of the underallocation

You own 2,200 shares of deltona hardware. the company has stated that it plans on issuing a dividend of $0.42 a share at the end of this year and then issuing a final liquidating dividend of $2.90 a share at the end of next year. your required rate of return on this security is 16 percent. ignoring taxes, what is the value of one share of this stock to you today?