My question is from my corporate finance course:

perpetuities

an investor purchasing a british consol is entitled to receive annual payments from the british government forever. what is the price of a consol that pays $75 annually if the next payment occurs one year from today? the market rate is 3.1 percent.

3. describe the purpose of the sec. (1-4 sentences. 2.0 points)

At the beginning of 2014, winston corporation issued 10% bonds with a face value of $2,000,000. these bonds mature in five years, and interest is paid semiannually on june 30 and december 31. the bonds were sold for $1,852,800 to yield 12%. winston uses a calendar-year reporting period. using the effective-interest method of amortization, what amount of interest expense should be reported for 2014? (round your answer to the nearest dollar.)

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?