(a) What is the amount of the payments that Ned Winslow must make at the end of each of 9 years to accumulate a fund of $90,750 by the end of the 9th year, if the fund earns 9% interest, compounded annually? (Round answers to 0 decimal places, e.g. $458,581.)
(b) Robert Hitchcock is 39 years old today and he wishes to accumulate $592,500 by his 64th birthday so he can retire to his summer place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his 39th through his 63rd birthdays. What annual deposit must Robert make if the fund will earn 10% interest compounded annually? (Round answers to 0 decimal places, e.g. $458,581.)
(c) Diane Ross has $27,400 to invest today at 11% to pay a debt of $77,800. How many years will it take her to accumulate enough to liquidate the debt?
(d) Cindy Houston has a $29,000 debt that she wishes to repay 4 years from today; she has $19,103 that she intends to invest for the 4 years. What rate of interest will she need to earn annually in order to accumulate enough to pay the debt?
(a) Dubois Inc. has $607,100 to invest. The company is trying to decide between two alternative uses of the funds. One alternative provides $90,476 at the end of each year for 10 years, and the other is to receive a single lump sum-payment of $1,574,660 at the end of the 10 years. Which alternative should Dubois select? Assume the interest rate is constant over the entire investment.
(b) Dubois Inc. has completed the purchase of new Dell computers. The fair value of the equipment is $836,000. The purchase agreement specifies an immediate down payment of $228,000 and semiannual payments of $78,739 beginning at the end of 6 months for 5 years. What is the interest rate, to the nearest percent, used in discounting this purchase transaction?
(c) Dubois Inc. loans money to John Kruk Corporation in the amount of $874,400. Dubois accepts an 8% note due in 7 years with interest payable semiannually. After 2 years (and receipt of interest for 2 years), Dubois needs money and therefore sells the note to Chicago National Bank, which demands interest on the note of 10% compounded semiannually. What is the amount Dubois will receive on the sale of the note? (Round answers to 0 decimal places, e.g. $458,581.)
(d) Dubois Inc. wishes to accumulate $1,323,000 by December 31, 2022, to retire bonds outstanding. The company deposits $228,000 on December 31, 2012, which will earn interest at 10% compounded quarterly, to help in the retirement of this debt. In addition, the company wants to know how much should be deposited at the end of each quarter for 10 years to ensure that $1,323,000 is available at the end of 2022. (The quarterly deposits will also earn at a rate of 10%, compounded quarterly.) (Round to even dollars.) (Round answers to 0 decimal places, e.g. $458,581.)
Ellison Inc., a manufacturer of steel school lockers, plans to purchase a new punch press for use in its manufacturing process. After contacting the appropriate vendors, the purchasing department received differing terms and options from each vendor. The Engineering Department has determined that each vendor's punch press is substantially identical and each has a useful life of 20 years. In addition, Engineering has estimated that required year-end maintenance costs will be $1,090 per year for the first 5 years, $2,030 per year for the next 10 years, and $2,880 per year for the last 5 years. Following is each vendor's sale package.
Vendor A: $57,750 cash at time of delivery and 10 year-end payments of $18,550 each. Vendor A offers all its customers the right to purchase at the time of sale a separate 20-year maintenance service contract, under which Vendor A will perform all year-end maintenance at a one-time initial cost of $11,020.
Vendor B: Forty semiannual payments of $9,150 each, with the first installment due upon delivery.
Vendor B will perform all year end maintenance for the next 20 years at no extra charge.
Vendor C: Full cash price of $142,610 will be due upon delivery.
Assuming that both Vendors A and B will be able to perform the required year-end maintenance, that Ellison's cost of funds is 10%, and the machine will be purchased on January 1, from which vendor should the press be purchased?
Compute the present value of the cash flows for vendor A. (Round answers to 0 decimal places, e.g. $458,581.)
The present value of the cash outflows for this option is $
Compute the present value of the cash flows for vendor B. (Round answers to 0 decimal places, e.g. $458,581.)
The present value of the cash outflows for this option is $
Compute the present value of the cash flows for vendor C. (Round answers to 0 decimal places, e.g. $458,581.)
The present value of the cash outflows for this option is $
The press should be purchased from
(a) What is the future value of 20 periodic payments of $4,560 each made at the beginning of each period and compounded at 8%? (Round answers to 0 decimal places, e.g. $458,581.)
The future value
$
(b) What is the present value of $2,620 to be received at the beginning of each of 28 periods, discounted at 10% compound interest? (Round answers to 0 decimal places, e.g. $458,581.)
The present value
$
(c) What is the future value of 16 deposits of $3,310 each made at the beginning of each period and compounded at 10%? (Future value as of the end of the 16th period.) (Round answers to 0 decimal places, e.g. $458,581.)
The future value
$
(d) What is the present value of 6 receipts of $4,470 each received at the beginning of each period, discounted at 9% compounded interest? (Round answers to 0 decimal places, e.g. $458,581.)
Stephen Bosworth, a super salesman contemplating retirement on his fifty-fifth birthday, decides to create a fund on an 9% basis that will enable him to withdraw $27,000 per year on June 30, beginning in 2016 and continuing through 2019. To develop this fund, Stephen intends to make equal contributions on June 30 of each of the years 2012-2015.
(a)How much must the balance of the fund equal on June 30, 2015, in order for Stephen Bosworth to satisfy his objective?