ou are planning your retirement in 10 years. You currently have $164,000 in a bond account and $604,000 in a stock account. You plan to add $7,600 per year at the end of each of the next 10 years to your bond account. The stock account will earn a return of 10.5 percent and the bond account will earn a return of 7 percent. When you retire, you plan to withdraw an equal amount for each of the next 21 years at the end of each year and have nothing left. Additionally, when you retire you will transfer your money to an account that earns 6.25 percent. How much can you withdraw each year in your retirement

Franklin painting company is considering whether to purchase a new spray paint machine that costs $4,800. the machine is expected to save labor, increasing net income by $720 per year. the effective life of the machine is 15 years according to the manufacturer’s estimate. required determine the unadjusted rate of return based on the average cost of the investment.

Microsoft's stock price peaked at 6118% of its ipo price more than 13 years after the ipo suppose that $10,000 invested in microsoft at its ipo price had been worth $600,000 (6000% of the ipo price) after exactly 13 years. what interest rate, compounded annually, does this represent? (round your answer to two decimal places.)

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?