Question: Find the arbitrage opportunity (opportunities?).

> Baker and others entered a Wal-Mart store shortly after 3:00 A. M. by cutting through the metal door with an acetylene torch. They had moved some of the merchandise in the store to the rear door, but the police arrived before the merchandise could be tak

> J., Inc., and other customers of Northwestern Bell Corp. alleged that Northwestern Bell had furnished cash and tickets for air travel, plays, and sporting events and had offered employment to members of the Minnesota Public Utilities Commission in exchan

> The Federal Register contained the following provi- sion from the Environmental Protection Agency on January 14, 2002: ‘We, the U.S. Fish and Wildlife Service (Service), announce the re-opening of the comment period on the proposed listing of Lomatium c

> An owner abandoned his van in an alley in Chicago. In spite of repeated complaints to the police, the van was allowed to remain in the alley. After several months, it was stripped of most of the parts that could be removed. Jamin Ortiz, age 11, was walki

> The Tacoma-Pierce County Health Department conducted an investigation into the quality of care provided by ambulance service providers in its juris- diction. On the basis of that investigation, the department issued a set of temporary rules and regulatio

> Following the events of September 11, 2001, in which four airplanes crashed as a result of the presence of terrorists on those flights, the FAA concluded that it needed to implement new procedures for air- ports and flights. The new procedures for securi

> The Endangered Species Act (ESA) charges the National Marine Fisheries Service (a federal agency) with the duty to “ensure” that any proposed action by the Council does not “jeopardize” any threatened or endangered species. The Steller sea lion is on the

> Kravitz owned 100 percent of the stock of American Health Programs, Inc. (AHP). To obtain the Philadelphia Fraternal Order of Police as a customer for AHP, Kravitz paid money bribes to persons who he thought were officers of that organization but who in

> San Diego Air Sports (SDAS) Center operates a sports parachuting business in Otay Mesa, California. SDAS offers training to beginning parachutists and facilitates recreational jumping for experienced parachutists. It indicates that the majority of SDAS j

> The Department of Health and Human Services has proposed new guidelines for the interpretation of federal statutes on gifts, incentives, and other benefits bestowed on physicians by pharmaceutical companies. The areas on which the interpretation focused

> The Michigan Freedom of Information Act declares that it is the state ’ s policy to give all persons full information about the actions of the government and that “ the people shall be informed so that they may participate in the democratic process. ” Th

> The planning commissioner and a real estate developer planned to meet to discuss rezoning certain land that would permit the real estate developer to con- struct certain buildings not allowed under the then- existing zoning law. A homeowners association

> Macon County Landfill Corp. applied for permission to expand the boundaries of its landfill. Tate and others opposed the application. After a number of hearings, the appropriate agency granted the requested permission to expand. Tate appealed and claimed

> The Consumer Product Safety Commission is reconsidering a rule it first proposed in 1997 that would require child-resistant caps on household products, including cosmetics. When the rule was first proposed in 1997, it was resisted by the cosmetics indust

> Juanita DeJesus was seriously injured when hit on the head by a foul ball at a minor league baseball game and sued the stadium operators for negligence and premises liability. The case progressed to the Indiana Supreme Court where the Indianapolis Indian

> Catherine Bosley worked as a television news anchor for WKBN Channel 27 in Youngstown, Ohio. While on vacation with her husband in Florida she participated in a “wet t-shirt” contest, which was videotaped without her consent by DreamGirls, Inc. and licen

> The following table shows the prices of a sample of U.S. Treasury strips in February 2012. Each strip makes a single payment of $1,000 at maturity. a. Calculate the annually compounded, spot interest rate for each year. b. Is the term structure upward-

> Assume annual coupons. a. What is the formula for the value of a two-year, 5% bond in terms of spot rates? b. What is the formula for its value in terms of yield to maturity? c. If the two-year spot rate is higher than the one-year rate, is the yield to

> Which comes first in the market for U.S. Treasury bonds: a. Spot interest rates or yields to maturity? b. Bond prices or yields to maturity?

> After spending $3 million on research, Better Mousetraps has developed a new trap. The project requires an initial investment in plant and equipment of $6 million. This investment will be depreciated straight-line over five years to a value of zero, but

> A factory costs $800,000. You reckon that it will produce an inflow after operating costs of $170,000 a year for 10 years. If the opportunity cost of capital is 14%, what is the net present value of the factory? What will the factory be worth at the end

> Mr. Art Deco will be paid $100,000 one year hence. This is a nominal flow, which he discounts at an 8% nominal discount rate: PV =_10__0_,0_0_0_ = $92,593 1.08 The inflation rate is 4%. Calculate the PV of Mr. Deco’s payment using the equivalent real cas

> Construct a new version of Table 4.7, assuming that the concatenator division grows at 20%, 12%, and 6%, instead of 12%, 9%, and 6%. You will get negative early free cash flows. a. Recalculate the PV of free cash flow. What does your revis

> Ten years ago, in 2007, George Reeby founded a small mail-order company selling high-quality sports equipment. Since those early days Reeby Sports has grown steadily and been consistently profitable. The company has issued 2 million shares, all of which

> A bond’s credit rating provides a guide to its price. As we write this in early 2015, Aaa bonds yield 3.4% and Baa bonds yield 4.4%. If some bad news causes a 10% five-year bond to be unexpectedly downrated from Aaa to Baa, what would be the effect on th

> Which of the following statements are true? The opportunity cost of capital: a. Equals the interest rate at which the company can borrow. b. Depends on the risk of the cash flows to be valued. c. Depends on the rates of return that shareholders can e

> Is the yield on high-coupon bonds more likely to be higher than that on low-coupon bonds when the term structure is upward-sloping or when it is downward-sloping? Explain.

> Here are the prices of three bonds with 10-year maturities: Bond Coupon (%)………………Price (%) 2%......................................81.62% 4…………………………………..98.39 8………………………………...133.42 If coupons are paid annually, which bond offered the highest yield t

> Company Q’s current return on equity (ROE) is 14%. It pays out one-half of earnings as cash dividends (pay-out ratio = .5). Current book value per share is $50. Book value per share will grow as Q reinvests earnings. Assume that the ROE and pay-out ratio

> Ms. T. Potts, the treasurer of Ideal China, has a problem. The company has just ordered a new kiln for $400,000. Of this sum, $50,000 is described by the supplier as an installation cost. Ms. Potts does not know whether the Internal Revenue Service (IRS)

> The two-year interest rate is 10% and the expected annual inflation rate is 5%. a. What is the expected real interest rate? b. If the expected rate of inflation suddenly rises to 7%, what does Fisher’s theory say about how the real interest rate will c

> a. The cost of a new automobile is $10,000. If the interest rate is 5%, how much would you have to set aside now to provide this sum in five years? b. You have to pay $12,000 a year in school fees at the end of each of the next six years. If the interes

> Air conditioning for a college dormitory will cost $1.5 million to install and $200,000 per year to operate. The system should last 25 years. The real cost of capital is 5%, and the college pays no taxes. What is the equivalent annual cost?

> The one-year spot interest rate is r1 = 5% and the two-year rate is r2 = 6%. If the expectations theory is correct, what is the expected one-year interest rate in one year’s time?

> Ms. Espinoza is retired and depends on her investments for her income. Mr. Liu is a young executive who wants to save for the future. Both are stockholders in Scaled Composites, LLC, which is building SpaceShipOne to take commercial passengers into space

> Look again at Table 3.5. Suppose that spot interest rates all change to 4%—a “flat” term structure of interest rates. a. What is the new yield to maturity for each bond in the table? b.

> The following table tracks the main components of working capital over the life of a four-year project. Calculate net working capital and the cash inflows and outflows due to investment in working capital. 2016 2017 2018 2019 2020 Accounts receivabl

> A 10-year German government bond (bund) has a face value of €100 and a coupon rate of 5% paid annually. Assume that the interest rate (in euros) is equal to 6% per year. What is the bond’s PV?

> In December 2005, Mid-American Energy brought online one of the largest wind farms in the world. It cost an estimated $386 million and the 257 turbines have a total capacity of 360.5 megawatts (mW). Wind speeds fluctuate and most wind farms are expected

> In February 2015 Treasury 4¾s of 2041 offered a semi-annually compounded yield to maturity of 2.70%. Recognizing that coupons are paid semi-annually, calculate the bond’s price.

> A 10-year bond is issued with a face value of $1,000, paying interest of $60 a year. If yields to maturity increase shortly after the T-bond is issued, what happens to the bond’s a. Coupon rate? b. Price? c. Yield to maturity?

> Consider three investors: a. Mr. Single invests for one year. b. Ms. Double invests for two years. c. Mrs. Triple invests for three years. Assume each invests in company Z (see Problem 5). Show that each expects to earn a rate of return of 8% per year

> Look one more time at Table 3.5. a. Suppose you knew the bond prices but not the spot interest rates. Explain how you would calculate the spot rates. b. Suppose that you could buy bond C in large quantities at $1,040 rather than at its equ

> Pharmecology just paid an annual dividend of $1.35 per share. It’s a mature company, but future EPS and dividends are expected to grow with inflation, which is forecasted at 2.75% per year. a. What is Pharmecology’s current stock price? The nominal cost

> What spot interest rates are implied by the following Treasury bonds? Assume for simplicity that the bonds pay annual coupons. The price of a one-year strip is 97.56%, and the price of a four-year strip is 87.48%. Maturity (years) Coupon Price (%) 5

> Calculate the IRR (or IRRs) for the following project: For what range of discount rates does the project have positive NPV? Co C2 -3,000 +3,500 +4,000 -4,000

> The duration of a bond that makes an equal payment each year in perpetuity is (1 + yield)/yield. Prove it.

> Which of the following statements always apply to corporations? a. Unlimited liability. b. Limited life. c. Ownership can be transferred without affecting operations. d. Managers can be fired with no effect on ownership.

> You are quoted an interest rate of 6% on an investment of $10 million. What is the value of your investment after four years if interest is compounded: a. Annually? b. Monthly? or c. Continuously?

> If a bond’s yield to maturity does not change, the return on the bond each year will be equal to the yield to maturity. Confirm this with a simple example of a four-year bond selling at a premium to face value. Now do the same for a four-year bond sellin

> Suppose that you buy a two-year 8% bond at its face value. a. What will be your total nominal return over the two years if inflation is 3% in the first year and 5% in the second? What will be your real return? b. Now suppose that the bond is a TIPS. Wh

> We can imagine the financial manager doing several things on behalf of the firm’s stockholders. For example, the manager might: a. Make shareholders as wealthy as possible by investing in real assets. b. Modify the firm’s investment plan to help shareh

> Each of the following statements is true. Use an example to explain why they are consistent. When a company introduces a new product, or expands production of an existing product, investment in net working capital is usually an important cash outflow. Fo

> Look again at the spot interest rates shown in Problem 25. What can you deduce about the one-year spot interest rate in three years if. . . a. The expectations theory of term structure is right? b. Investing in long-term bonds c

> New Economy Transport (A) The New Economy Transport Company (NETCO) was formed in 1959 to carry cargo and passengers between ports in the Pacific Northwest and Alaska. By 2015 its fleet had grown to four vessels, including a small dry-cargo vessel, the V

> Look at the spot interest rates shown in Problem 25. Suppose that someone told you that the five-year spot interest rate was 2.5%. Why would you not believe him? How could you make money if he was right? What is the minimum sensible value for the five-ye

> Consider the following three stocks: a. Stock A is expected to provide a dividend of $10 a share forever. b. Stock B is expected to pay a dividend of $5 next year. Thereafter, dividend growth is expected to be 4% a year forever. c. Stock C is expected

> The Beyond the Page feature, “Goldman Sachs Causes a Ruckus,” describes the controversial involvement of Goldman Sachs in a mortgage-backed securities deal in 2006. When this involvement was revealed, the market value of Goldman Sachs’ common stock fell

> When appraising mutually exclusive investments in plant and equipment, financial managers calculate the investments’ equivalent annual costs and rank the investments on this basis. Why is this necessary? Why not just compare the investments’ NPVs? Explai

> Look again at Table 3.5. Suppose the spot interest rates change to the following downward-sloping term structure: r1 = 4.6%, r2 = 4.4%, r3 = 4.2%,

> The formula for the duration of a perpetual bond that makes an equal payment each year in perpetuity is (1 + yield)/yield. If each bond yields 5%, which has the longer duration—a perpetual bond or a 15-year zero-coupon bond? What if the yield is 10%?

> Find the spreadsheet for Table 3.4. in Connect. Show how duration and volatility change if (a) the bond’s coupon is 8% of face value and (b) the bond’s yield is 6%. Explain your finding.

> The continuously compounded interest rate is 12%. a. You invest $1,000 at this rate. What is the investment worth after five years? b. What is the PV of $5 million to be received in eight years? c. What is the PV of a continuous stream of cash flows,

> Calculate durations and modified durations for the 3% bonds in Table 3.2. You can follow the procedure set out in Table 3.4 for the 9% coupon bonds. Confirm that modified duration closely predicts the impact of a 1% change in inte

> CSC is evaluating a new project to produce encapsulators. The initial investment in plant and equipment is $500,000. Sales of encapsulators in year 1 are forecasted at $200,000 and costs at $100,000. Both are expected to increase by 10% a year in line wi

> You have estimated spot rates as follows: r1 = 5.00%, r2 = 5.40%, r3 = 5.70%, r4 = 5.90%, r5 = 6.00%. a. What are the discount factors for each date (that is, the present value of $1 paid in year t) b. Calculate the PV of the following bonds assumi

> A 6% six-year bond yields 12% and a 10% six-year bond yields 8%. Calculate the six-year spot rate. Assume annual coupon payments.

> A six-year government bond makes annual coupon payments of 5% and offers a yield of 3% annually compounded. Suppose that one year later the bond still yields 3%. What return has the bondholder earned over the 12-month period? Now suppose that the bond yi

> A project produces a cash flow of $432 in year 1, $137 in year 2, and $797 in year 3. If the cost of capital is 15%, what is the project’s PV? If the project requires an investment of $1,200, what is its NPV?

> A 10-year U.S. Treasury bond with a face value of $1,000 pays a coupon of 5.5% (2.75% of face value every six months). The reported yield to maturity is 5.2% (a six-month discount rate of 5.2/2 = 2.6%). a. What is the present value of the bond? b. Gener

> F&H Corp. continues to invest heavily in a declining industry. Here is an excerpt from a recent speech by F&H’s CFO: We at F&H have of course noted the complaints of a few spineless investors and uninformed security analysts about the slow growth of prof

> Company Z-prime is like Z in all respects save one: Its growth will stop after year 4. In year 5 and afterward, it will pay out all earnings as dividends. What is Z-prime’s stock price? Assume next year’s EPS is $15.

> True or false? Explain. a. The value of a share equals the discounted stream of future earnings per share. b. The value of a share equals the PV of earnings per share assuming the firm does not grow, plus the NPV of future growth opportunities.

> What is the payback period on each of the following projects? Given that you wish to use the payback rule with a cutoff period of two years, which projects would you accept? c. If you use a cutoff period of three years, which projects would you accept? d

> Calculate the durations and volatilities of securities A, B, and C. Their cash flows are shown below. The interest rate is 8%. Period 1 Period 2 Period 3 A 40 40 40 B 20 20 120 C 10 10 110

> a. Longer-maturity bonds necessarily have longer durations. b. The longer a bond’s duration, the lower its volatility. c. Other things equal, the lower the bond coupon, the higher its volatility. d. If interest rates rise, bond durations rise also.

> Restate the net cash flows in Table 6.6 in real terms. Discount the restated cash flows at a real discount rate. Assume a 20% nominal rate and 10% expected inflation. NPV should be unchanged at +3,802, or $3,802,000. Table 6.6: Period 3 4 6. Capital

> a. An 8%, five-year bond yields 6%. If this yield to maturity remains unchanged, what will be its price one year hence? Assume annual coupon payments and a face value of $100. b. What is the total return to an investor who held the bond over this year?

> What is the PV of $100 received in: a. Year 10 (at a discount rate of 1%)? b. Year 10 (at a discount rate of 13%)? c. Year 15 (at a discount rate of 25%)? d. Each of years 1 through 3 (at a discount rate of 12%)?

> If the PV of $139 is $125, what is the discount factor?

> Look at the last question where you calculated the equivalent annual cost of producing reformulated gasoline in California. Capital investment was $400 million. Suppose this amount can be depreciated for tax purposes on the 10-year MACRS schedule from Ta

> Hayden Inc. has a number of copiers that were bought four years ago for $20,000. Currently maintenance costs $2,000 a year, but the maintenance agreement expires at the end of two years and thereafter the annual maintenance charge will rise to $8,000. Th

> Mr. Cyrus Clops, the president of Giant Enterprises, has to make a choice between two possible investments: The opportunity cost of capital is 9%. Mr. Clops is tempted to take B, which has the higher IRR. a. Explain to Mr. Clops why this is not the corr

> Low-energy lightbulbs typically cost $3.60, have a life of nine years, and use about $2.00 of electricity a year. Conventional lightbulbs are cheaper to buy, for they cost only $.60. On the other hand, they last only about a year and use about $7.00 of e

> As a result of improvements in product engineering, United Automation is able to sell one of its two milling machines. Both machines perform the same function but differ in age. The newer machine could be sold today for $50,000. Its operating costs are

> In the International Mulch and Compost example (Section 6-2), we assumed that losses on the project could be used to offset taxable profits elsewhere in the corporation. Suppose that the losses had to be carried forward and offset against future taxable

> How does the PV of depreciation tax shields vary across the recovery-period classes shown in Table 6.4? Give a general answer; then check it by calculating the PVs of depreciation tax shields in the five-year and seven-year classes. The tax rate is 35%

> Hindustan Motors has been producing its Ambassador car in India since 1948. As the company’s website explains, the Ambassador’s “dependability, spaciousness, and comfort factor have made it the most preferred car for generations of Indians.” Hindustan is

> United Pigpen is considering a proposal to manufacture high-protein hog feed. The project would make use of an existing warehouse, which is currently rented out to a neighboring firm. The next year’s rental charge on the warehouse is $100,000, and therea

> Machine C was purchased five years ago for $200,000 and produces an annual real cash flow of $80,000. It has no salvage value but is expected to last another five years. The company can replace machine C with machine B, See this problem: Machines A and

> a. If the one-year discount factor is .905, what is the one-year interest rate? b. If the two-year interest rate is 10.5%, what is the two-year discount factor? c. Given these one- and two-year discount factors, calculate the two-year annuity factor.

> Marsha Jones has bought a used Mercedes horse transporter for her Connecticut estate. It cost $35,000. The object is to save on horse transporter rentals. Marsha had been renting a transporter every other week for $200 per day plus $1.00 per mile. Most o

> Reliable Electric is considering a proposal to manufacture a new type of industrial electric motor that would replace most of its existing product line. A research breakthrough has given Reliable a two-year lead on its competitors. The project proposal i

> If the cost of capital is 9%, what is the PV of $374 paid in year 9?

> A machine costs $380,000 and is expected to produce the following cash flows:
If the cost of capital is 12%, what is the machine’s NPV?

> A widget manufacturer currently produces 200,000 units a year. It buys widget lids from an outside supplier at a price of $2 a lid. The plant manager believes that it would be cheaper to make these lids rather than buy them. Direct production costs are e

> Go to the Excel spreadsheet versions of Tables 6.1, 6.5, and 6.6 and answer the following questions. a. How does the guano project’s NPV change if IM&C is forced to use the seven-year MACRS tax depreciation schedule? b. New engineering es

> Consider the following two mutually exclusive projects: a. Calculate the NPV of each project for discount rates of 0%, 10%, and 20%. Plot these on a graph with NPV on the vertical axis and discount rate on the horizontal axis. b. What is the approx

> Construct a new version of Table 4.7, assuming that competition drives down profitability (on existing assets as well as new investment) to 11.5% in year 6, 11% in year 7, 10.5% in year 8, and 8% in year 9 and all later years. What is the val

> A project requires an initial investment of $100,000 and is expected to produce a cash inflow before tax of $26,000 per year for five years. Company A has substantial accumulated tax losses and is unlikely to pay taxes in the foreseeable future. Co