8. you buy a 30-year zero coupon bond which will pay you $10,000 in 30 years at an annual yield of i=1% compounded once per year. a few minutes later the annual yield rises to i=2% compounded once per year. what is the percent change in the value of the bond? (hint: recall the formula for percent change. the answer should be negative.) 9. you buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield of i=16.5% compounded once per year. 25 years later it will be a 5 year zero coupon bond. suppose the interest rate on this bond will be 16.5%, what will the price of this bond be in 25 years?

You have $22,000 to invest in a stock portfolio. your choices are stock x with an expected return of 11 percent and stock y with an expected return of 13 percent. if your goal is to create a portfolio with an expected return of 11.74 percent, how much money will you invest in stock x? in stock y?

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.]

Creation landscaping has 1,000 bonds outstanding that are selling for $1,280 each. the company also has 2,000 shares of preferred stock outstanding, currently priced at $27.20 a share. the common stock is priced at $37.00 a share and there are 28,000 shares outstanding. what is the weight of the debt as it relates to the firm's weighted average cost of capital?