You manage a pension fund that will provide retired workers with lifetime annuities. you determine that the payouts of the fund are going to closely resemble level perpetuities of $1 million per year. the interest rate is 10%. you plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. a. how much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (do not round intermediate calculations. enter your answers in millions.) b. what must be the face value of each of the two zeros to fund the plan? (do not round intermediate calculations. enter your answers in millions rounded to 2 decimal places.)

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

According to the u.s. census bureau (), the median household income in the united states was $23,618 in 1985, $34,076 in 1995, $46,326 in 2005, and $57,230 in 2015. in purchasing power terms, how did family income compare in each of those four years? you will need to know that the cpi (multiplied by 100, 1982–1984 = 100) was 107.6 in 1985, 152.4 in 1995, 195.3 in 2005, and 237.0 in 2015

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?