1. In a world with taxes and financial distress, when a firm is operating with the optimal capital structure: I. the debt-equity ratio will also be optimal. II. the weighted average cost of capital will be at its minimal point. III. the required return on assets will be at its maximum point. IV. the increased benefit from additional debt is equal to the increased bankruptcy costs of that debt.

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

Starting at age 30, you deposit $2000 a year into an ira account for retirement. treat the yearly deposits into the account as a continuous income stream. if money in the account earns 7%, compounded continuously, how much will be in the account 35 years later, when you retire at age 65? how much of the final amount is interest?

You are chairman of the board of a successful technology firm. there is a nominal federal corporate tax rate of 35 percent, yet the effective tax rate of the typical corporation is about 12.6%. your firm has been clever with use of transfer pricing and keeping money abroad and has barely paid any taxes over the last 5 years; during this same time period, profits were $28 billion. one member of the board feels that it is un-american to use various accounting strategies in order to avoid paying taxes. others feel that these are legal loopholes and corporations have a fiduciary responsibility to minimize taxes. one board member quoted what the ceo of exxon once said: “i’m not a u. s. company and i don’t make decisions based on what’s good for the u. s.” what are the alternatives? what are your recommendations? why do you recommend this course of action?