Gavin Jones's friend is planning to invest $1 million in a rock concert to be held 1 year from now. The friend figures that he will obtain $3 million revenue from his $1 million investment - unless, my goodness, it rains. If it rains, he will lose his entire investment. There is a 50% chance that it will rain the day of the concert. Gavin suggests that he buy rain insurance. He can buy one unit of insurance of $0.50, and this unit pays $1 if it rains and nothing if it does not. He may purchase as many units as he wishes, upto $3 million. i. What is the expected rate of return on his investment if he buys u units of insurance? (the cost of insurance is in addition to his $1 million investment) ii. What units of insurance will minimize the variance of his return? iii. What is this minimum value? iv. And what is the corresponding expected rate of return?

Bdj co. wants to issue new 22-year bonds for some much-needed expansion projects. the company currently has 9.2 percent coupon bonds on the market that sell for $1,132, make semiannual payments, have a $1,000 par value, and mature in 22 years. what coupon rate should the company set on its new bonds if it wants them to sell at par?

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?

For each of the following cases determine the ending balance in the inventory account. (hint: first, determine the total cost of inventory available for sale. next, subtract the cost of the inventory sold to arrive at the ending balance.)a. jill’s dress shop had a beginning balance in its inventory account of $40,000. during the accounting period jill’s purchased $75,000 of inventory, returned $5,000 of inventory, and obtained $750 of purchases discounts. jill’s incurred $1,000 of transportation-in cost and $600 of transportation-out cost. salaries of sales personnel amounted to $31,000. administrative expenses amounted to $35,600. cost of goods sold amounted to $82,300.b. ken’s bait shop had a beginning balance in its inventory account of $8,000. during the accounting period ken’s purchased $36,900 of inventory, obtained $1,200 of purchases allowances, and received $360 of purchases discounts. sales discounts amounted to $640. ken’s incurred $900 of transportation-in cost and $260 of transportation-out cost. selling and administrative cost amounted to $12,300. cost of goods sold amounted to $33,900.a& b. cost of goods avaliable for sale? ending inventory?