You are comparing two investment options that each pay 6 percent interest, compounded annually. Both options will provide you with $12,000 of income. Option A pays $2,000 the first year followed by two annual payments of $5,000 each. Option B pays three annual payments of $4,000 each.
Which one of the following statements is correct given these two investment options? Assume a positive discount rate. (No calculations needed.)

a) Option A has a higher future value at the end of year three.
b) Option B has a higher present value at time zero.
c) Option B is a perpetuity.
d) Option A is an annuity.

Amanda works as an industrial designer

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?

Capital financial corporation will lend 90 percent against account balances that have averaged 30 days or less; 80 percent for account balances between 31 and 40 days; and 70 percent for account balances between 41 and 45 days. customers that take over 45 days to pay their bills are not considered acceptable accounts for a loan. the current prime rate is 16.50 percent, and capital charges 3.50 percent over prime to charming as its annual loan rate. a. determine the maximum loan for which charming paper company could qualify.