Acort industries owns assets that will have an 80% probability of having a market value of $50 million in one year. there is a 20% chance that the assets will be worth only $20 million. the current risk-free rate is 5%, and acort’s assets have a cost of capital of 10%

The rybczynski theorem describes: (a) how commodity price changes influence real factor rewards (b) how commodity price changes influence relative factor rewards. (c) how changes in factor endowments cause changes in commodity outputs. (d) how trade leads to factor price equalization.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

Mystic bottling company bottles popular beverages in the bottling department. the beverages are produced by blending concentrate with water and sugar. the concentrate is purchased from a concentrate producer. the concentrate producer sets higher prices for the more popular concentrate flavors. a simplified bottling department cost of production report separating the cost of bottling the four flavors follows: