The following present value factors are provided for use in this problem. PeriodsPresent Value of $1 at 12%Present Value of an Annuity of $1 at 12% 1 0.8929 0.8929 2 0.7972 1.6901 3 0.7118 2.4018 4 0.6355 3.0373 Cliff Co. wants to purchase a machine for $72,000, but needs to earn a return of 12%. The expected year-end net cash flows are $29,000 in each of the first three years, and $33,000 in the fourth year. What is the machine's net present value

Darlene has a balance of 3980 on a credit card with an apr of 22.8% paying off her balance and which of these lengths of time will result in her paying the least amount of interest?

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.

Your dormitory, griffingate, has appointed you central banker of its economy, which deals in the currency of wizcoins. assume that the velocity of wizcoins in griffingate is constant at 10,000 transactions per year. right now, real gdp is 1,000 wizcoins, and there are 2,000 wizcoins in existence.