Congratulations, you've won the lottery! The jackpot was $10,000,000, and you have an important choice to make. You can either take your winnings in annual payments of $500,000 spread out over 20 payments (with the first payment coming immediately and then at the end of each year for the next 19 years), or you can take a one-time payment of $6,600,000 right now. What is the present value of your winnings if you opt for the annual payments and the market interest rate is 5%

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.]

Gulliver travel agencies thinks interest rates in europe are low. the firm borrows euros at 5 percent for one year. during this time period the dollar falls 11 percent against the euro. what is the effective interest rate on the loan for one year? (consider the 11 percent fall in the value of the dollar as well as the interest payment.)

Match the situations that will develop one's personality and those that won't peter is surrounded by friends who are always encouraging him jonathan always watches television when he wants to take a break from his books libby sets small targets for herself and strives to achieve them. the smiths indulge in an animated discussion on varied topics every evening after dinner. brook loves junk food and exercises once in a while. develops your personality develops doesn't develop your personality