You are given an annuity-immediate paying 10 for 10 years, then decreasing by one per year for nine years and paying one per year thereafter, forever. The annual effective rate of interest is 4%. Calculate the present value of this annuity.

The price of trade suppose that portugal and sweden both produce rye and wine. portugal's opportunity cost of producing a bottle of wine is 4 bushels of rye while sweden's opportunity cost of producing a bottle of wine is 10 bushels of rye. by comparing the opportunity cost of producing wine in the two countries, you can tell thatportugal/sweden has a comparative advantage in the production of wine.andportugal/sweden has a comparative advantage in the production of rye. suppose that portugal and sweden consider trading wine and rye with each other. portugal can gain from specialization and trade as long as it receives more rye for each bottle of wine it exports to sweden. similarly, sweden can gain from trade as long as it receives more bottles of wine for each bushel of rye it exports to portugal. based on your answer to the last question, which of the following prices of trade (that is, price of wine in terms of rye) would allow both sweden and portugal to gain from trade? a. 1 bushels of rye per bottle of wineb. 8 bushels of rye per bottle of winec. 9 bushels of rye per bottle of wined. 3 bushels of rye per bottle of wine

Stocks a, b, and c are similar in some respects: each has an expected return of 10% and a standard deviation of 25%. stocks a and b have returns that are independent of one another; i.e., their correlation coefficient, r, equals zero. stocks a and c have returns that are negatively correlated with one another; i.e., r is less than 0. portfolio ab is a portfolio with half of its money invested in stock a and half in stock b. portfolio ac is a portfolio with half of its money invested in stock a and half invested in stock c. which of the following statements is correct? a. portfolio ab has a standard deviation that is greater than 25%.b. portfolio ac has an expected return that is less than 10%.c. portfolio ac has a standard deviation that is less than 25%.d. portfolio ab has a standard deviation that is equal to 25%.e. portfolio ac has an expected return that is greater than 25%.

Dakota products has a production budget as follows: may, 16,000 units; june, 19,000 units; and july, 24,000 units. each unit requires 3 pounds of raw material and 2 direct labor hours. dakota desires to keep an inventory of 10% of the next month’s requirements on hand. on may, 1 there were 4,800 pounds of raw material in inventory. direct labor hours required in may would be: