Your grandfather has promised to give you $500 a year at the end of each of the next four years if you earn cs or better in all of your courses each year. using a discount rate of 7%, which of the folowing is correct for determining the present value of the gift?
a. pv = $500 x 7% x 4
b. pv = $500 x (pv factor, i = 4%, n=7)
c. pv = $500 x (annuity fv factor, i = 7%, n = 4)
d. pv = $500 x (annuity pv factor, i = 7%, n = 4)

Each of the following scenarios is based on facts in anactual fraud. categorize each scenario as primarily indicating (1) anincentive to commit fraud, (2) an opportunity to commit fraud, or(3) a rationalization for committing fraud. also state your reasoningfor each scenario. a. there was intense pressure to keep the corporation ' stock from declining further. this pressure came from investors, analysts, and the ceo, whose financial well-being was significantly dependent on the corporation ' s stock price. b. a group of top-level management was compensated (mostly in the form of stock-options) well in excess of what would be considered normal for their positions in this industry. c. top management of the company closely guards internal financial information, to the extent that even some employees on a “need-to-know basis” are denied full access. d. managing specific financial ratios is very important to the company, and both management and analysts are keenly observant of variability in key ratios. key ratios for the company changed very little even though the ratios for the overall industry were quite volatile during the time period. e. in an effort to reduce certain accrued expenses to meet budget targets, the cfo directs the general accounting department to reallocate a division’s expenses by a significant amount. the general accounting department refuses to acquiesce to the request, but the journal entry is made trough the corporate office. an accountant in the general accounting department is uncomfortable with the journal entries required to reallocate divisional expenses. he brings his concerns to the cfo, who assures him that everything will be fine and that the entries are necessary. the accountant considers resigning, but he does not have another job lined up and is worried about supporting his family. therefore, he never voices his concerns to either the internal or external auditors. f. accounting records were either nonexistent or in a state of such disorganization that significant effort was required to locate or compile them.

Refer to the payoff matrix. suppose that speedy bike and power bike are the only two bicycle manufacturing firms serving the market. both can choose large or small advertising budgets. is there a nash equilibrium solution to this game?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?