Keenan has won the lottery for $10,000,000. He is offered a cash payment now of $7,500,000, or 10 annual payments of $1,000,000. What is the interest rate that makes these two amounts equal

Grey company holds an overdue note receivable of $800,000 plus recorded accrued interest of $64,000. the effective interest rate is 8%. as the result of a court-imposed settlement on december 31, year 3, grey agreed to the following restructuring arrangement: reduced the principal obligation to $600,000.forgave the $64,000 accrued interest.extended the maturity date to december 31, year 5.annual interest of $40,000 is to be paid to grey on december 31, year 4 and year 5. the present value of the interest and principal payments to be received by grey company discounted for two years at 8% is $585,734. grey does not elect the fair value option for reporting the debt modification. on december 31, year 3, grey would recognize a valuation allowance for impaired loans of

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.

An outside manufacturer has offered to produce 60,000 daks and ship them directly to andretti's customers. if andretti company accepts this offer, the facilities that it uses to produce daks would be idle; however, fixed manufacturing overhead costs would be reduced by 75%. because the outside manufacturer would pay for all shipping costs, the variable selling expenses would be only two-thirds of their present amount. what is andretti's avoidable cost per unit that it should compare to the price quoted by the outside manufacturer?