An individual has determined utilizing the annuity method of capital needs analysis that he needs $1,045,656 at the beginning of his retirement to meet his retirement life expectancy goals. If this individual would like to be more conservative in his retirement planning forecast and maintain this capital balance throughout his retirement life expectancy of 32 years, given an expected earnings rate of 6%, and an inflation rate of 3% during the period, how much more would he need to have at the beginning of his retirement?

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?

Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. in this case, the country that produces jeans will produce million pairs per week, and the country that produces corn will produce million bushels per week.

Suppose that fixed costs for a firm in the automobile industry (start-up costs of factories, capital equipment, and so on) are $5 billion and that variable costs are equal to $17,000 per finished automobile. because more firms increase competition in the market, the market price falls as more firms enter an automobile market, or specifically, , where n represents the number of firms in a market. assume that the initial size of the u. s. and the european automobile markets are 300 million and 533 million people, respectively. a. calculate the equilibrium number of firms in the u. s. and european automobile markets without trade. b. what is the equilibrium price of automobiles in the united states and europe if the automobile industry is closed to foreign trade? c. now suppose that the united states decides on free trade in automobiles with europe. the trade agreement with the europeans adds 533 million consumers to the automobile market, in addition to the 300 million in the united states. how many automobile firms will there be in the united states and europe combined? what will be the new equilibrium price of automobiles? d. why are prices in the united states different in (c) and (b)? are consumers better off with free trade? in what ways?