Question: Dr. Ruth is going to borrow $5,

> Your aunt offers you a choice of $20,100 in 20 years or $870 today. If money is discounted at 17 percent, which should you choose?

> If you invest $9,000 today, how much will you have a. In 2 years at 9 percent? b. In 7 years at 12 percent? c. In 25 years at 14 percent? d. In 25 years at 14 percent (compounded semiannually)?

> Your parents have accumulated a $120,000 nest egg. They have been planning to use this money to pay college costs to be incurred by you and your sister, Courtney. However, Courtney has decided to forgo college and start a nail salon. Your parents are giv

> Your younger sister, Linda, will start college in five years. She has just informed your parents that she wants to go to Hampton University, which will cost $17,000 per year for four years (cost assumed to come at the end of each year). Anticipating Lind

> You are chairperson of the investment fund for the Continental Soccer League. You are asked to set up a fund of semiannual payments to be compounded semiannually to accumulate a sum of $250,000 after nine years at a 10 percent annual rate (18 payments).

> Larry Davis borrows $80,000 at 14 percent interest toward the purchase of a home. His mortgage is for 25 years. a. How much will his annual payments be? (Although home payments are usually on a monthly basis, we shall do our analysis on an annual basis f

> If your uncle borrows $60,000 from the bank at 10 percent interest over the seven-year life of the loan, what equal annual payments must be made to discharge the loan, plus pay the bank its required rate of interest (round to the nearest dollar)? How muc

> Cal Lury owes $10,000 now. A lender will carry the debt for five more years at 10 percent interest. That is, in this particular case, the amount owed will go up by 10 percent per year for five years. The lender then will require that Cal pay off the loan

> If you borrow $9,441 and are required to pay back the loan in five equal annual installments of $2,750, what is the interest rate associated with the loan?

> Mark Ventura has just purchased an annuity to begin payment two years from today. The annuity is for $8,000 per year and is designed to last 10 years. If the interest rate for this problem calculation is 13 percent, what is the most he should have paid f

> Mel Thomas, the chief financial officer of Preston Resources, has been asked to do an evaluation of Dunning Chemical Company by the president and Chair of the Board, Sarah Reynolds. Preston Resources was planning a joint venture with Dunning (which was p

> You will receive $6,800 three years from now. The discount rate is 10 percent. a. What is the value of your investment two years from now? Multiply $6,800 ×
or divide by 1.10 (one year’s discount rate at 10 percent). b. What is the value of your invest

> Bridget Jones has a contract in which she will receive the following payments for the next five years: $1,000, $2,000, $3,000, $4,000, and $5,000. She will then receive an annuity of $8,500 a year from the end of the 6th through the end of the 15th year.

> Del Monty will receive the following payments at the end of the next three years: $2,000, $3,500, and $4,500. Then, from the end of the 4th through the end of the 10th year, he will receive an annuity of $5,000 per year. At a discount rate of 9 percent,

> You wish to retire in 14 years, at which time you want to have accumulated enough money to receive an annual annuity of $17,000 for 19 years after retirement. During the period before retirement you can earn 8 percent annually, while after retirement you

> Morgan Jennings, a geography professor, invests $50,000 in a parcel of land that is expected to increase in value by 12 percent per year for the next five years. He will take the proceeds and provide himself with a 10-year annuity. Assuming a 12 percent

> Betty Bronson has just retired after 25 years with the electric company. Her total pension funds have an accumulated value of $180,000, and her life expectancy is 15 more years. Her pension fund manager assumes he can earn a 9 percent return on her asset

> C. D. Rom has just given an insurance company $35,000. In return, he will receive an annuity of $3,700 for 20 years. At what rate of return must the insurance company invest this $35,000 in order to make the annual payments? Interpolate.

> Mr. Dow bought 100 shares of stock at $14 per share. Three years later, he sold the stock for $20 per share. What is his annual rate of return?

> Franklin Templeton has just invested $9,260 for his son (age one). This money will be used for his son’s education 18 years from now. He calculates that he will need $71,231 by the time the boy goes to school. What rate of return will Mr. Templeton need

> Beverly Hills started a paper route on January 1. Every three months, she deposits $550 in her bank account, which earns 8 percent annually but is compounded quarterly Four years later, she used the entire balance in her bank account to invest in an inve

> Dr. Harold Wolf of Medical Research Corporation (MRC) was thrilled with the response he had received from drug companies for his latest discovery, a unique electronic stimulator that reduces the pain from arthritis. The process had yet to pass rigorous F

> You need $28,974 at the end of 10 years, and your only investment outlet is an 8 percent long-term certificate of deposit (compounded annually). With the certificate of deposit, you make an initial investment at the beginning of the first year. a. What s

> a. What is the present value of $140,000 to be received after 30 years with a 14 percent discount rate? b. Would the present value of the funds in part a be enough to buy a $2,900 concert ticket?

> Your grandfather has offered you a choice of one of the three following alternatives: $7,500 now; $2,200 a year for nine years; or $31,000 at the end of nine years. Assuming you could earn 10 percent annually, which alternative should you choose? If you

> As stated in the chapter, annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). To find th

> Determine the amount of money in a savings account at the end of 10 years, given an initial deposit of $5,500 and a 12 percent annual interest rate when interest is compounded (a) annually, (b) semiannually, and (c) quarterly.

> Juan Garza invested $20,000 10 years ago at 12 percent, compounded quarterly. How much has he accumulated?

> Les Moore retired as president of Goodman Snack Foods Company but is currently on a consulting contract for $35,000 per year for the next 10 years. a. If Mr. Moore’s opportunity cost (potential return) is 10 percent, what is the present value of his cons

> Jack Hammer invests in a stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. Also, he believes that at the end of the third year he will be able to sell the sto

> If you owe $35,000 payable at the end of eight years, what amount should your creditor accept in payment immediately if she could earn 13 percent on her money?

> At a growth (interest) rate of 10 percent annually, how long will it take for a sum to double? To triple? Select the year that is closest to the correct answer.

> The difficult part of solving a problem of this nature is to know what to do with the information contained within a story problem. Therefore, this problem will be easier to complete if you rely on Chapter 4 for the format of all required schedules. The

> Assume that Rf = 5 percent and Km = 10.5 percent. Compute Kj for the following betas using Formula 11A-2. a. 0.6 b. 1.3 c. 1.9

> Christy Reed made a $2,000 deposit in her savings account on her 21st birthday, and she has made another $2,000 deposit on every birthday since then. Her account earns 7 percent compounded annually. How much will she have in her account after she makes t

> What is the present value of a. $7,900 in 10 years at 11 percent? b.$16,600 in 5 years at 9 percent? c. $26,000 in 14 years at 6 percent?

> Al Rosen invests $25,000 in a mint condition 1952 Mickey Mantle Topps baseball card. He expects the card to increase in value 12 percent per year for the next 10 years. How much will his card be worth after 10 years?

> Rita Gonzales won the $41 million lottery. She is to receive $1.5 million a year for the next 19 years plus an additional lump sum payment of $12.5 million after 19 years. The discount rate is 14 percent. What is the current value of her winnings?

> The Clearinghouse Sweepstakes has just informed you that you have won $1 million. The amount is to be paid out at the rate of $20,000 a year for the next 50 years. With a discount rate of 10 percent, what is the present value of your winnings?

> Carrie Tune will receive $19,500 for the next 20 years as a payment for a new song she has written. If a 10 percent rate is applied, should she be willing to sell out her future rights now for $160,000?

> Sherwin Williams will receive $18,500 a year for the next 25 years as a result of a picture he has painted. If a discount rate of 12 percent is applied, should he be willing to sell out his future rights now for $165,000?

> Phil Goode will receive $175,000 in 50 years. His friends are very jealous of him. If the funds are discounted back at a rate of 14 percent, what is the present value of his future “pot of gold”?

> Mrs. Crawford will receive $7,600 a year for the next 19 years from her trust. If a 14 percent interest rate is applied, what is the current value of the future payments?

> You invest a single amount of $10,000 for 5 years at 10 percent. At the end of 5 years you take the proceeds and invest them for 12 years at 15 percent. How much will you have after 17 years?

> Sun Microsystems is a leading supplier of computer-related products, including servers, workstations, storage devices, and network switches. In the letter to stockholders as part of the 2001 annual report, President and CEO Scott G. McN

> If you invest $8,500 per period for the following number of periods, how much would you have? a. 12 years at 10 percent. b. 50 years at 9 percent.

> How much would you have to invest today to receive a. $15,000 in 8 years at 10 percent? b. $20,000 in 12 years at 13 percent? c. $6,000 each year for 10 years at 9 percent? d. $50,000 each year for 50 years at 7 percent?

> You invest $3,000 for three years at 12 percent. a. What is the value of your investment after one year? Multiply $3,000 × 1.12. b. What is the value of your investment after two years? Multiply your answer to part a by 1.12. c. What is the value of your

> Gulliver Travel Agencies thinks interest rates in Europe are low. The firm borrows euros at 9 percent for one year. During this time period the dollar falls 14 percent against the euro. What is the effective interest rate on the loan for one year? (Consi

> Mary Ott is going to borrow $10,400 for 120 days and pay $150 interest. What is the effective rate of interest if the loan is discounted?

> Sol Pine borrows $5,000 for one year at 13 percent interest. What is the effective rate of interest if the loan is discounted?

> A pawnshop will lend $2,500 for 45 days at a cost of $35 interest. What is the effective rate of interest?

> Simmons Corp. can borrow from its bank at 17 percent to take a cash discount. The terms of the cash discount are 1.5/10, net 45. Should the firm borrow the funds?

> The treasurer for Pittsburgh Iron Works wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at $138,000 per contract. It is July and the contracts must be closed out in December of this year.

> Bob Adkins has recently been approached by his first cousin, Ed Lamar, with a proposal to buy a 15 percent interest in Lamar Swimwear. The firm manufactures stylish bathing suits and sunscreen products. Mr. Lamar is quick to point out the increase in sal

> Charming Paper Company sells to the 12 accounts listed here. Capital Financial Corporation will lend 90 percent against account balances that have averaged 30 days or less; 80 percent for account balances between 31 and 40 days; and 70 percent for acco

> Summit Record Company is negotiating with two banks for a $151,000 loan. Fidelity Bank requires a 28 percent compensating balance, discounts the loan, and wants to be paid back in four quarterly payments. Southwest Bank requires a 14 percent compensating

> Harper Engine Company needs $631,000 to take a cash discount of 2.5/20, net 75. A banker will lend the money for 55 days at an interest cost of $13,300. a. What is the effective rate on the bank loan? b. How much would it cost (in percentage terms) if Ha

> Neveready Flashlights Inc. needs $340,000 to take a cash discount of 3/17, net 72. A banker will lend the money for 55 days at an interest cost of $10,400. a. What is the effective rate on the bank loan? b. How much would it cost (in percentage terms) if

> The Reynolds Corporation buys from its suppliers on terms of 3/17, net 45. Reynolds has not been utilizing the discounts offered and has been taking 45 days to pay its bills. Mr. Duke, Vice President of Reynolds Corporation, has suggested that the compan

> The Reynolds Corporation buys from its suppliers on terms of 3/17, net 45. Reynolds has not been utilizing the discounts offered and has been taking 45 days to pay its bills. Mr. Duke, Reynolds Corporation vice president, has suggested that the company b

> Mr. Hugh Warner is a very cautious businessman. His supplier offers trade credit terms of 3/15, net 85. Mr. Warner never takes the discount offered, but he pays his suppliers in 75 days rather than the 85 days allowed so he is sure the payments are never

> Lewis and Clark Camping Supplies Inc. is borrowing $51,000 from Western State Bank. The total interest is $15,700. The loan will be paid by making equal monthly payments for the next three years. What is the effective rate of interest on this installment

> Regis Clothiers can borrow from its bank at 17 percent to take a cash discount. The terms of the cash discount are 3/19, net 45. Should the firm borrow the funds?

> Zerox Copying Company plans to borrow $172,000. New Jersey National Bank will lend the money at one-half percentage point over the prime rate at the time of 17½ percent (18 percent total) and requires a compensating balance of 21 percent. The principal i

> United Technology Corporation (UTC) has $40 million of convertible bonds outstanding (40,000 bonds at $1,000 par value) with a coupon rate of 11 percent. Interest rates are currently 8 percent for bonds of equal risk. The bonds have 15 years left to matu

> If you borrow $5,300 at $400 interest for one year, what is your effective interest rate for the following payment plans? a. Annual payment. b. Semiannual payments. c. Quarterly payments. d. Monthly payments.

> Your company plans to borrow $13 million for 12 months, and your banker gives you a stated rate of 24 percent interest. You would like to know the effective rate of interest for the following types of loans. (Each of the following parts stands alone.) a.

> The treasurer for the Macon Blue Sox baseball team is seeking a $23,600 loan for one year from the 4th National Bank of Macon. The stated interest rate is 10 percent, and there is a 15 percent compensating balance requirement. The treasurer always keeps

> Randall Corporation plans to borrow $233,000 for one year at 20 percent from the Waco State Bank. There is a 21 percent compensating balance requirement. Randall Corporation keeps minimum transaction balances of $17,500 in the normal course of business.

> Digital Access Inc. needs $400,000 in funds for a project. a. With a compensating balance requirement of 20 percent, how much will the firm need to borrow? b. Given your answer to part a and a stated interest rate of 9 percent on the total amount borrowe

> Maxim Air Filters Inc. plans to borrow $300,000 for one year. Northeast National Bank will lend the money at 10 percent interest and requires a compensating balance of 20 percent. What is the effective rate of interest?

> McGriff Dog Food Company normally takes 27 days to pay for average daily credit purchases of $9,530. Its average daily sales are $10,680, and it collects accounts in 32 days. a. What is its net credit position? That is, compute its accounts receivable an

> Talmud Book Company borrows $24,900 for 60 days at 12 percent interest. What is the dollar cost of the loan?

> Barney’s Antique Shop has annual credit sales of $1,620,000 and an accounts receivable balance of $157,500. Calculate the average collection period (use 360 days in a year).

> Darla’s Cosmetics has annual credit sales of $1,440,000 and an average collection period of 45 days in 2008. Assume a 360-day year. What is the company’s average accounts receivable balance? Accounts receivable are equal to the average daily credit sales

> Fondren Exploration Ltd. has 1,000 convertible bonds ($1,000 par value) outstanding, each of which may be converted to 50 shares of stock. The $1 million worth of bonds has 25 years to maturity. The current price of the stock is $26 per share. The firm’s

> Knight Roundtable Co. has annual credit sales of $1,080,000 and an average collection period of 32 days in 2008. Assume a 360-day year. What is the company’s average accounts receivable balance? Accounts receivable are equal to the average daily credit s

> Oral Roberts Dental Supplies has annual sales of $5,200,000. Ninety percent are on credit. The firm has $559,000 in accounts receivable. Compute the value of the average collection period.

> Thompson Wood Products has credit sales of $2,160,000 and accounts receivable of $288,000. Compute the value of the average collection period.

> Postal Express has outlets throughout the world. It also keeps funds for transactions purposes in many foreign countries. Assume in 2010 it held 240,000 reals in Brazil worth 170,000 dollars. It drew 12 percent interest, but the Brazilian real declined 2

> Orbital Communications has operating plants in over 100 countries. It also keeps funds for transactions purposes in many foreign countries. Assume in 2010 it held 150,000 kronas in Norway worth $40,000. The funds drew 13 percent interest, and the krona i

> Dome Metals has credit sales of $180,000 yearly with credit terms of net 60 days, which is also the average collection period. Dome offered a 3 percent discount for payment in 18 days, and Dome reduced its bank loans, which cost 12 percent. Assume that t

> Dome Metals had credit sales of $180,000 yearly with credit terms of net 60 days, which is also the average collection period. If Dome offered a 3 percent discount for payment in 18 days and every customer took advantage of the new terms and reduced its

> Dome Metals has credit sales of $180,000 yearly with credit terms of net 60 days, which is also the average collection period. Dome does not offer a discount for early payment, so its customers take the full 60 days to pay. What is the average receivable

> Global Services is considering a promotional campaign that will increase annual credit sales by $450,000. The company will require investments in accounts receivable, inventory, and plant and equipment. The turnover for each is as follows: All $450,000

> Slow Roll Drum Co. is evaluating the extension of credit to a new group of customers. Although these customers will provide $180,000 in additional credit sales, 12 percent are likely to be uncollectible. The company will also incur $16,200 in additional

> Modern Furniture Company had finally arrived at the point where it had a sufficient excess cash flow of $4.8 million to consider paying a dividend. It had 3 million shares of stock outstanding and was considering paying a cash dividend of $1.60 per share

> Neon Light Company of Kansas City ships lamps and lighting appliances throughout the country. Ms. Neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by three days

> Fast Turnstiles Co. is evaluating the extension of credit to a new group of customers. Although these customers will provide $180,000 in additional credit sales, 12 percent are likely to be uncollectible. The company will also incur $16,200 in additional

> Henderson Office Supply is considering a more liberal credit policy to increase sales, but expects that 9 percent of the new accounts will be uncollectible. Collection costs are 6 percent of new sales, production and selling costs are 74 percent, and acc

> Johnson Electronics is considering extending trade credit to some customers previously considered poor risks. Sales would increase by $150,000 if credit is extended to these new customers. Of the new accounts receivable generated, 5 percent will prove to

> Wisconsin Snowmobile Corp. is considering a switch to level production. Cost efficiencies would occur under level production, and after tax costs would decline by $36,000, but inventory would increase by $300,000. Wisconsin Snowmobile has to finance the

> Diagnostic Supplies has expected sales of 84,100 units per year, carrying costs of $5 per unit, and an ordering cost of $10 per order. a. What is the economic order quantity? b. What is the average inventory? What is the total carrying cost? c. Assume an

> Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 49,000 units per year, an ordering cost of $2 per order, and carrying costs of $1.60 per unit. a. What

> Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 49,000 units per year, an ordering cost of $8 per order, and carrying costs of $1.60 per unit. a. What

> Nowlin Pipe & Steel has projected sales of 72,000 pipes this year, an ordering cost of $6 per order, and carrying costs of $2.40 per pipe. a. What is the economic ordering quantity? b. How many orders will be placed during the year? c. What will the aver

> Route Canal Shipping Company has the following schedule for aging of accounts receivable: a. Fill in column (4) for each month. b. If the firm had $1,500,000 in credit sales over the four-month period, compute the average collection period. Average dai

> Dr. Robert Grossman founded Electro Cardio Systems Inc. (ECS) in 2001. The principal purpose of the firm was to engage in the research and development of heart pump devices. Although the firm did not show a profit until 2006, by 2010 it reported after ta

> Mervyn’s Fine Fashions has an average collection period of 50 days. The accounts receivable balance is $95,000. What is the value of its credit sales?