foundation was endowed with $15,000,000 in July 2014. In July 2018, $5,000,000 was expended for facilities, and it was decided to provide $250,000 at the end of each year forever to cover operating expenses. The first operating expense is in July 2019, and the first replacement expense in July 2023. If all money earns interest at 5% after the time of endowment, what amount would be available for the capital replacements at the end of every fifth year forever

Dahlia enterprises needs someone to supply it with 127,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. it will cost you $940,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. you estimate that in five years, this equipment can be salvaged for $77,000. your fixed production costs will be $332,000 per year, and your variable production costs should be $11.00 per carton. you also need an initial investment in net working capital of $82,000. if your tax rate is 30 percent and your required return is 11 percent on your investment, what bid price should you submit? (do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

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.

Suppose your rich uncle gave you $50,000, which you plan to use for graduate school. you will make the investment now, you expect to earn an annual return of 6%, and you will make 4 equal annual withdrawals, beginning 1 year from today. under these conditions, how large would each withdrawal be so there would be no funds remaining in the account after the 4th withdraw?