George is the owner of numerous classic automobiles. His intention is to hold the automobiles until they increase in value and then sell ous events (e. g., antiqu In 2017, he sold a classic automobile for $1.5 million. He had held the automobile for five years, and it had a tax basis of $750,000. a. Was the automobile a capital asset? No. It is depreciable property used in a business.
b. Assuming a rate of return of 7%, how much would he have had to invest five years ago (instead of putting $750,000 into the car) to have had $1.5 million this year? The present value factor for 5 years at 7% is .7130.

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

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.

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. during 2003, an auction house sold a sculpture at auction for a price of $10,211,500. unfortunately for the previous owner, he had purchased it in 2000 at a price of $12,177,500. what was his annual rate of return on this sculpture? (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answer as