Suppose you will receive $2,000 two years from today (at the end of the second year) and $3,000 five years from today (at the end of the fifth year). What is the present value of this stream of cash flows when the interest rate is 6% per year (compounded annually)?

Ummit record company is negotiating with two banks for a $157,000 loan. fidelity bank requires a compensating balance of 24 percent, discounts the loan, and wants to be paid back in four quarterly payments. southwest bank requires a compensating balance of 12 percent, does not discount the loan, but wants to be paid back in 12 monthly installments. the stated rate for both banks is 9 percent. compensating balances will be subtracted from the $157,000 in determining the available funds in part a. a-1. calculate the effective interest rate for fidelity bank and southwest bank. (do not round intermediate calculations. input your answers as a percent rounded to 2 decimal places.) a-2. which loan should summit accept? southwest bank fidelity bank b. recompute the effective cost of interest, assuming that summit ordinarily maintains $37,680 at each bank in deposits that will serve as compensating balances

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.]

Answer the following questions using the banker’s algorithm: a. illustrate that the system is in a safe state by demonstrating an order in which the processes may complete. b. if a request from process p1 arrives for (1, 1, 0, 0), can the request be granted immediately? c. if a request from process p