Consider the following timeline detailing a stream of cash flows: The timeline starts at Date 0 and ends at Date 4. The cash flow on Date 0 is indicated by a question mark. On Date 1, the cash flow is 5,000 dollars. On Date 2, the cash flow is 6,000 dollars. On Date 3, the cash flow is 7,000 dollars. On Date 4, the cash flow is 8,000 dollars. If the current market rate of interest is 9%, then the present value (PV) of this stream of cash flows is closest to:

Aceramics manufacturer sold cups last year for $7.50 each. variable costs of manufacturing were $2.25 per unit. the company needed to sell 20,000 cups to break even. net income was $5,040. this year, the company expects the price per cup to be $9.00; variable manufacturing costs to increase 33.3%; and fixed costs to increase 10%. how many cups (rounded) does the company need to sell this year to break even?

1. all other things equal, according to the law of demand, when the price of a good falls, the demand for the good falls the demand for the good rises the quantity demanded of the good falls the quantity demanded of the good rises 2. when a market is in equilibrium, the quantity of the good that buyers are willing and able to buy exactly equals the quantity that sellers are willing and able to sell cannot be determined is less than the quantity that sellers are willing and able to sell is greater than the quantity that sellers are willing and able to sell 3. which of the following factors does not influence the demand for a good or service? consumer (buyer) income the price of related goods the number of sellers buyer expectations 4. when the number of sellers in a market increases, demand rises supply rises the price rises, all else equal the number of buyers falls

Christopher kim, cfa, is a banker with batts brothers, an investment banking firm. kim follows the energy industry and has frequent contact with industry executives. kim is contacted by the ceo of a large oil and gas corporation who wants batts brothers to underwrite a secondary offering of the company's stock. the ceo offers kim the opportunity to fly on his private jet to his ranch in texas for an exotic game hunting expedition if kim's firm can complete the underwriting within 90 days. according to cfa institute standards of conduct, kim: a) may accept the offer as long as he discloses the offer to batts brothers. b) may not accept the offer because it is considered lavish entertainment. c) must obtain written consent from batts brothers before accepting the offer.