A student takes out a $10,000, 10-year loan with two possible repayment plans, (i) immediate repayment or (ii) a grace period during the college years. The student takes 5 years to graduate. The interest rate is 8%, compounded annually and the loan is paid off as a yearly lump sum. Since the bank is a for-profit business (beholden to its shareholders and required to maximize profit), the bank intends to receive the same return on this loan either way. How much are the annual payments under option (i) and option (ii)

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

Which of the following statements about revision is most accurate? (a) you must compose first drafts quickly (sprint writing) and return later for editing. (b) careful writers always revise as they write. (c) revision is required for only long and complex business documents. (d) some business writers prefer to compose first drafts quickly and revise later; others prefer to revise as they go.

Carlton industries is considering a new project that they plan to price at $74.00 per unit. the variable costs are estimated at $39.22 per unit and total fixed costs are estimated at $12,085. the initial investment required is $8,000 and the project has an estimated life of 4 years. the firm requires a return of 8 percent. ignore the effect of taxes. what is the degree of operating leverage at the financial break-even level of output?