You started planning for your retirement. Assume a fixed horizon (given below) and a given annual inflation rate. For the first years you will be making contributions at the beginning of the year (adjusted for the inflation beginning in year 2) in order to meet the following retirement goal: Starting in year K, withdraw a desired amount (IN TODAY'S DOLLARS) at the beginning of each year until the end of the horizon. For the first few years, you will be using more aggressive investments (higher expected return). For the next few years assume a different return another for the remainder of the years. Build a model to answer the question: What is the minimum first contribution to accomplish such a retirement goal

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Three pounds of material a are required for each unit produced. the company has a policy of maintaining a stock of material a on hand at the end of each quarter equal to 30% of the next quarter's production needs for material a. a total of 35,000 pounds of material a are on hand to start the year. budgeted purchases of material a for the second quarter would be:

The east asiatic company (eac), a danish company with subsidiaries throughout asia, has been funding its bangkok subsidiary primarily with u.s. dollar debt because of the cost and availability of dollar capital as opposed to thai baht-denominated (b) debt. the treasurer of eac-thailand is considering a 1-year bank loan for $247,000.the current spot rate is b32.03 /$, and the dollar-based interest is 6.78% for the 1-year period. 1-year loans are 12.04% in baht.a. assuming expected inflation rates of 4.3 % and 1.24% in thailand and the united states, respectively, for the coming year, according to purchase power parity, what would the effective cost of funds be in thai baht terms? b. if eac's foreign exchange advisers believe strongly that the thai government wants to push the value of the baht down against the dollar by5% over the coming year (to promote its export competitiveness in dollar markets), what might the effective cost of funds end up being in baht terms? c. if eac could borrow thai baht at 13% per annum, would this be cheaper than either part (a) or part (b) above?