You have a loan outstanding. it requires making three annual payments of $1000 each at the end of the next three years. your bank has offered to allow you to skip making the next two payments in lieu of making one large payment at the end of the loan's term in three years. if the interest rate on the loan is 5%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? berk, jonathan; demarzo, peter; harford, jarrad (2017-01-18). fundamentals of corporate finance (berk, demarzo & harford, the corporate finance series) (page 121). pearson education. kindle edition.

Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. the portfolio's beta is 1.25. now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.55. what would the portfolio's new beta be? do not round your intermediate calculations.

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i.e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?

Suppose that a paving company produces paved parking spaces (q) using a fixed quantity of land (t) and variable quantities of cement (c) and labor (l). the firm is currently paving 1,000 parking spaces. the firm's cost of cement is $3 comma 600.003,600.00 per acre covered (c) and its cost of labor is $35.0035.00/hour (w). for the quantities of c and l that the firm has chosen, mp subscript upper c baseline equals 60mpc=60 and mp subscript upper l baseline equals 7mpl=7. is this firm minimizing its cost of producing parking spaces?