Short Problems Show your work to receive full credit.

47. (2 points) How long does it take $1,000 to quadruple in value if you have an 11% annual return? Assume annual compounding, and express your answer in years (to two decimals).

48. (4 points) Assume the following spot and forward rates for the euro ($/euro). A) What is the dollar value of one euro in the spot market? B) Suppose you issued a 120-day forward contract to exchange 200,000 euros into Canadian dollars. How many dollars are involved? C) How many euros can you get for one dollar in the spot market? D) What is the 120-day forward premium?

49. (2 points) The MacHardee Plumbing Company has common stock outstanding. The stock paid a dividend of $2.00 per share last year, but the company expects that earnings and dividends will grow by 25% for the next two years before dropping to a constant 9% growth rate afterward. The required rate of return on similar common stocks is 13%. What is the per-share value of the company's common stock?