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Question_Doc9_15Dec

Question # 00005694
Subject: Business / General Business
Due on: 12/31/2013
Posted On: 12/22/2013 03:39 PM
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6-1. Your brother wants to borrow $10,000 from you. He has offered to pay you back $12,000 in a year. If the cost of capital of this investment opportunity is 10%, what is its NPV? Should you undertake the investment opportunity? Calculate the IRR and use it to determine the maximum deviation allowable in the cost of capital estimate to leave the decision unchanged.

6-2. You are considering investing in a start-up company. The founder asked you for $200,000 today and you expect to get $1,000,000 in nine years. Given the riskiness of the investment opportunity, your cost of capital is 20%. What is the NPV of the investment opportunity? Should you undertake the investment opportunity? Calculate the IRR and use it to determine the maximum deviation allowable in the cost of capital estimate to leave the decision unchanged.

6-3. You are considering opening a new plant. The plant will cost $100 million upfront. After that, it is expected to produce profits of $30 million at the end of every year. The cash flows are expected to last forever. Calculate the NPV of this investment opportunity if your cost of capital is 8%. Should you make the investment? Calculate the IRR and use it to determine the maximum deviation allowable in the cost of capital estimate to leave the decision unchanged.

6-4. Your firm is considering the launch of a new product, the XJ5. The upfront development cost is $10 million, and you expect to earn a cash flow of $3 million per year for the next five years. Plot the NPV profile for this project for discount rates ranging from 0% to 30%. For what range of discount rates is the project attractive?

6-5. Bill Clinton reportedly was paid $10 million to write his book My Way. The book took three years to write. In the time he spent writing, Clinton could have been paid to make speeches. Given his popularity, assume that he could earn $8 million per year (paid at the end of the year) speaking instead of writing. Assume his cost of capital is 10% per year.

a. What is the NPV of agreeing to write the book (ignoring any royalty payments)?

b. Assume that, once the book is finished, it is expected to generate royalties of $5 million in the first year (paid at the end of the year) and these royalties are expected to decrease at a rate of 30% per year in perpetuity. What is the NPV of the book with the royalty payments?

6-6. FastTrack Bikes, Inc. is thinking of developing a new composite road bike. Development will take six years and the cost is $200,000 per year. Once in production, the bike is expected to make $300,000 per year for 10 years. Assume the cost of capital is 10%.

a. Calculate the NPV of this investment opportunity, assuming all cash flows occur at the end of each year. Should the company make the investment?

b. By how much must the cost of capital estimate deviate to change the decision? (Hint: Use Excel to calculate the IRR.)

c. What is the NPV of the investment if the cost of capital is 14%?

6-8. You are considering an investment in a clothes distributor. The company needs $100,000 today and expects to repay you $120,000 in a year from now. What is the IRR of this investment opportunity? Given the riskiness of the investment opportunity, your cost of capital is 20%. What does the IRR rule say about whether you should invest?

6-9. You have been offered a very long term investment opportunity to increase your money one hundredfold. You can invest $1000 today and expect to receive $100,000 in 40 years. Your cost of capital for this (very risky) opportunity is 25%. What does the IRR rule say about whether the investment should be undertaken? What about the NPV rule? Do they agree?

6-10. Does the IRR rule agree with the NPV rule in Problem 3? Explain.

6-11. How many IRRs are there in part (a) of Problem 5? Does the IRR rule give the right answer in this case? How many IRRs are there in part (b) of Problem 5? Does the IRR rule work in this case?

6-12. Professor Wendy Smith has been offered the following deal: A law firm would like to retain her for an upfront payment of $50,000. In return, for the next year the firm would have access to 8 hours of her time every month. Smith’s rate is $550 per hour and her opportunity cost of capital is 15% (EAR). What does the IRR rule advise regarding this opportunity? What about the NPV rule?

6-13. Innovation Company is thinking about marketing a new software product. Upfront costs to market and develop the product are $5 million. The product is expected to generate profits of $1 million per year for 10 years. The company will have to provide product support expected to cost $100,000 per year in perpetuity. Assume all profits and expenses occur at the end of the year.

a. What is the NPV of this investment if the cost of capital is 6%? Should the firm undertake the project? Repeat the analysis for discount rates of 2% and 12%.

b. How many IRRs does this investment opportunity have?

c. Can the IRR rule be used to evaluate this investment? Explain.

6-14. You own a coal mining company and are considering opening a new mine. The mine itself will cost $120 million to open. If this money is spent immediately, the mine will generate $20 million for the next 10 years. After that, the coal will run out and the site must be cleaned and maintained at environmental standards. The cleaning and maintenance are expected to cost $2 million per year in perpetuity. What does the IRR rule say about whether you should accept this opportunity? If the cost of capital is 8%, what does the NPV rule say?

If the opportunity cost of capital is between 2.93% and 8.72%, the investment should be undertaken.

6-15. Your firm spends $500,000 per year in regular maintenance of its equipment. Due to the economic downturn, the firm considers forgoing these maintenance expenses for the next three years. If it does so, it expects it will need to spend $2 million in year 4 replacing failed equipment.

a. What is the IRR of the decision to forgo maintenance of the equipment?

b. Does the IRR rule work for this decision?

c. For what costs of capital is forgoing maintenance a good decision?

6-16. You are considering investing in a new gold mine in South Africa. Gold in South Africa is buried very deep, so the mine will require an initial investment of $250 million. Once this investment is made, the mine is expected to produce revenues of $30 million per year for the next 20 years. It will cost $10 million per year to operate the mine. After 20 years, the gold will be depleted. The mine must then be stabilized on an ongoing basis, which will cost $5 million per year in perpetuity. Calculate the IRR of this investment. (Hint: Plot the NPV as a function of the discount rate.)

6-17. Your firm has been hired to develop new software for the university’s class registration system. Under the contract, you will receive $500,000 as an upfront payment. You expect the development costs to be $450,000 per year for the next three years. Once the new system is in place, you will receive a final payment of $900,000 from the university four years from now.

a. What are the IRRs of this opportunity?

b. If your cost of capital is 10%, is the opportunity attractive?

Suppose you are able to renegotiate the terms of the contract so that your final payment in year 4 will be $1 million.

c. What is the IRR of the opportunity now?

d. Is it attractive at these terms?

6-18. You are considering constructing a new plant in a remote wilderness area to process the ore from a planned mining operation. You anticipate that the plant will take a year to build and cost $100 million upfront. Once built, it will generate cash flows of $15 million at the end of every year over the life of the plant. The plant will be useless 20 years after its completion once the mine runs out of ore. At that point you expect to pay $200 million to shut the plant down and restore the area to its pristine state. Using a cost of capital of 12%,

a. What is the NPV of the project?

b. Is using the IRR rule reliable for this project? Explain.

c. What are the IRR’s of this project?

6-19. You are a real estate agent thinking of placing a sign advertising your services at a local bus stop. The sign will cost $5000 and will be posted for one year. You expect that it will generate additional revenue of $500 per month. What is the payback period?

6-20. You are considering making a movie. The movie is expected to cost $10 million upfront and take a year to make. After that, it is expected to make $5 million when it is released in one year and $2 million per year for the following four years. What is the payback period of this investment? If you require a payback period of two years, will you make the movie? Does the movie have positive NPV if the cost of capital is 10%?

6-21. You are deciding between two mutually exclusive investment opportunities. Both require the same initial investment of $10 million. Investment A will generate $2 million per year (starting at the end of the first year) in perpetuity. Investment B will generate $1.5 million at the end of the first year and its revenues will grow at 2% per year for every year after that.

a. Which investment has the higher IRR?

b. Which investment has the higher NPV when the cost of capital is 7%?

c. In this case, for what values of the cost of capital does picking the higher IRR give the correct answer as to which investment is the best opportunity?

6-22. You have just started your summer internship, and your boss asks you to review a recent analysis that was done to compare three alternative proposals to enhance the firm’s manufacturing facility. You find that the prior analysis ranked the proposals according to their IRR, and recommended the highest IRR option, Proposal A. You are concerned and decide to redo the analysis using NPV to determine whether this recommendation was appropriate. But while you are confident the IRRs were computed correctly, it seems that some of the underlying data regarding the cash flows that were estimated for each proposal was not included in the report. For Proposal B, you cannot find information regarding the total initial investment that was required in year 0. And for Proposal C, you cannot find the data regarding additional salvage value that will be recovered in year 3. Here is the information you have:

Suppose the appropriate cost of capital for each alternative is 10%. Using this information, determine the NPV of each project. Which project should the firm choose?

Why is ranking the projects by their IRR not valid in this situation?

6-23. Use the incremental IRR rule to correctly choose between the investments in Problem 21 when the cost of capital is 7%. At what cost of capital would your decision change?

6-24. You work for an outdoor play structure manufacturing company and are trying to decide between two projects:

You can undertake only one project. If your cost of capital is 8%, use the incremental IRR rule to make the correct decision.

Since the incremental IRR of 7.522% is less than the cost of capital of 8%, you should take the Playhouse.

6-25. You are evaluating the following two projects:

Use the incremental IRR to determine the range of discount rates for which each project is optimal to undertake. Note that you should also include the range in which it does not make sense to take either project.

6-26. Consider two investment projects, which both require an upfront investment of $10 million, and both of which pay a constant positive amount each year for the next 10 years. Under what conditions can you rank these projects by comparing their IRRs?

6-27. You are considering a safe investment opportunity that requires a $1000 investment today, and will pay $500 two years from now and another $750 five years from now.

a. What is the IRR of this investment?

b. If you are choosing between this investment and putting your money in a safe bank account that pays an EAR of 5% per year for any horizon, can you make the decision by simply comparing this EAR with the IRR of the investment? Explain.

6-28. AOL is considering two proposals to overhaul its network infrastructure. They have received two bids. The first bid, from Huawei, will require a $20 million upfront investment and will generate $20 million in savings for AOL each year for the next three years. The second bid, from Cisco, requires a $100 million upfront investment and will generate $60 million in savings each year for the next three years.

a. What is the IRR for AOL associated with each bid?

b. If the cost of capital for this investment is 12%, what is the NPV for AOL of each bid? Suppose Cisco modifies its bid by offering a lease contract instead. Under the terms of the lease, AOL will pay $20 million upfront, and $35 million per year for the next three years. AOL’s savings will be the same as with Cisco’s original bid.

c. Including its savings, what are AOL’s net cash flows under the lease contract? What is the IRR of the Cisco bid now?

d. Is this new bid a better deal for AOL than Cisco’s original bid? Explain.

6-29. Natasha’s Flowers, a local florist, purchases fresh flowers each day at the local flower market. The buyer has a budget of $1000 per day to spend. Different flowers have different profit margins, and also a maximum amount the shop can sell. Based on past experience, the shop has estimated the following NPV of purchasing each type:

What combination of flowers should the shop purchase each day?

6-30. You own a car dealership and are trying to decide how to configure the showroom floor. The floor has 2000 square feet of usable space.You have hired an analyst and asked her to estimate the NPV of putting a particular model on the floor and how much space each model requires:

In addition, the showroom also requires office space. The analyst has estimated that office space generates an NPV of $14 per square foot. What models should be displayed on the floor and how many square feet should be devoted to office space?

6-31. Kaimalino Properties (KP) is evaluating six real estate investments. Management plans to buy the properties today and sell them five years from today. The following table summarizes the initial cost and the expected sale price for each property, as well as the appropriate discount rate based on the risk of each venture.

KP has a total capital budget of $18,000,000 to invest in properties.

a. What is the IRR of each investment?

b. What is the NPV of each investment?

c. Given its budget of $18,000,000, which properties should KP choose?

d. Explain why the profitably index method could not be used if KP’s budget were $12,000,000 instead. Which properties should KP choose in this case?

6-32. Orchid Biotech Company is evaluating several development projects for experimental drugs. Although the cash flows are difficult to forecast, the company has come up with the following estimates of the initial capital requirements and NPVs for the projects. Given a wide variety of staffing needs, the company has also estimated the number of research scientists required for each development project (all cost values are given in millions of dollars).

a. Suppose that Orchid has a total capital budget of $60 million. How should it prioritize these projects?

b. Suppose in addition that Orchid currently has only 12 research scientists and does not anticipate being able to hire any more in the near future. How should Orchid prioritize these projects?

c. If instead, Orchid had 15 research scientists available, explain why the profitability index ranking cannot be used to prioritize projects. Which projects should it choose now?

Lecture Five - Payout Policy

17-1. What options does a firm have to spend its free cash flow (after it has satisfied all interest obligations)?

17-2. ABC Corporation announced that it will pay a dividend to all shareholders of record as of Monday, April 3, 2006. It takes three business days of a purchase for the new owners of a share of stock to be registered.

a. When is the last day an investor can purchase ABC stock and still get the dividend payment?

b. When is the ex-dividend day?

17-3. Describe the different mechanisms available to a firm to use to repurchase shares

17-4. RFC Corp. has announced a $1 dividend. If RFC’s price last price cum-dividend is $50, what should its first ex-dividend price be (assuming perfect capital markets)?

17-5. EJH Company has a market capitalization of $1 billion and 20 million shares outstanding. It plans to distribute $100 million through an open market repurchase. Assuming perfect capital markets:

a. What will the price per share of EJH be right before the repurchase?

b. How many shares will be repurchased?

c. What will the price per share of EJH be right after the repurchase?

17-7. Natsam Corporation has $250 million of excess cash. The firm has no debt and 500 million shares outstanding with a current market price of $15 per share. Natsam’s board has decided to pay out this cash as a one-time dividend.

a. What is the ex-dividend price of a share in a perfect capital market?

b. If the board instead decided to use the cash to do a one-time share repurchase, in a perfect capital market what is the price of the shares once the repurchase is complete?

c. In a perfect capital market, which policy, in part (a) or (b), makes investors in the firm better off?

17-8. Suppose the board of Natsam Corporation decided to do the share repurchase in Problem 7(b), but you, as an investor, would have preferred to receive a dividend payment. How can you leave yourself in the same position as if the board had elected to make the dividend payment instead?

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Tutorial Preview …this xxxxxxxxxx opportunity xx 10%, what xx its NPV? xxxxxx you xxxxxxxxx xxx investment xxxxxxxxxxxx Calculate the xxx and use xx to xxxxxxxxx xxx maximum xxxxxxxxx allowable in xxx cost of xxxxxxx estimate xx xxxxx the xxxxxxxx unchanged NPV x 12000/1 1 xxx 10000=909 xx xxxx it! xxx = 12000/10000 xxx 1 = xxx The xxxx xx capital xxx increase by xx to 10% xxxxxxx changing xxx xxxxxxxx 6-2 xxx are considering xxxxxxxxx in a xxxxxxxx company xxx xxxxxxx asked xxx for $200,000 xxxxx and you xxxxxx to xxx xxxxxxxxxx in xxxx years Given xxx riskiness of xxx investment xxxxxxxxxxxx xxxx cost xx capital is xxx What is xxx NPV xx xxx investment xxxxxxxxxxxx Should you xxxxxxxxx the investment xxxxxxxxxxxx Calculate xxx xxx and xxx it to xxxxxxxxx the maximum xxxxxxxxx allowable xx xxx cost xx capital estimate xx leave the xxxxxxxx unchanged xx xxx take xxx project A xxxx in the xxxx of xxxxxxx xx just xx – 19 xx – 0 xxx would xxxxxx xxx decision xxx You are xxxxxxxxxxx opening a xxx plant xxx xxxxx will xxxx $100 million xxxxxxx After that, xx is xxxxxxxx xx produce xxxxxxx of $30 xxxxxxx at the xxx of xxxxx xxxx The xxxx flows are xxxxxxxx to last xxxxxxx Calculate xxx xxx of xxxx investment opportunity xx your cost xx capital xx xx Should xxx make the xxxxxxxxxxx Calculate the xxx and xxx xx to xxxxxxxxx the maximum xxxxxxxxx allowable in xxx cost xx xxxxxxx estimate xx leave the xxxxxxxx unchanged Timeline: xxx = xxxxxx x 30/8% x $275 million xxxx make the xxxxxxxxxx IRR: x x –100 x 30/IRR IRR x 30/100 = xxx Okay xx xxxx as xxxx of capital xxxx not go xxxxx 30% xxx xxxx firm xx considering the xxxxxx of a xxx product, xxx xxx The xxxxxxx development cost xx $10 million, xxx you xxxxxx xx earn x cash flow xx $3 million xxx year xxx xxx next xxxx years Plot xxx NPV profile xxx this xxxxxxx xxx discount xxxxx ranging from xx to 30% xxx what xxxxx xx discount xxxxx is the xxxxxxx attractive? R xxx IRR xx x 000 xx 24% 5% x 846 10% x 248 xxx xxx 20% xxx 857 30% xxxx 546 The xxxxxxx should xx xxxxxxxx as xxxx as the xxxxxxxx rate is xxxxx 15 xxx xxx Bill xxxxxxx reportedly…
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Preview: 12000/1 x – xxxxxxxxx 09 Take xxxxxx = 12000/10000 xxx 1 x xxxxxx cost xx capital can xxxxxxxx by up xx 10% xxxxxxx xxxxxxxx the xxxxxxxxxxx You are xxxxxxxxxxx investing in x start-up xxxxxxx xxx founder xxxxx you for xxxxxxxx today and xxx expect xx xxx $1,000,000 xx nine years xxxxx the riskiness xx the xxxxxxxxxx xxxxxxxxxxxx your xxxx of capital xx 20% What xx the xxx xx the xxxxxxxxxx opportunity? Should xxx undertake the xxxxxxxxxx opportunity? xxxxxxxxx xxx IRR xxx use it xx determine the xxxxxxx deviation xxxxxxxxx xx the xxxx of capital xxxxxxxx to leave xxx decision xxxxxxxxx xx not xxxx the project x drop in xxx cost xx xxxxxxx of xxxx 20 – xx 58 – x 42% xxxxx xxxxxx the xxxxxxxx 6-3 You xxx considering opening x new xxxxx xxx plant xxxx cost $100 xxxxxxx upfront After xxxxx it xx xxxxxxxx to xxxxxxx profits of xxx million at xxx end xx xxxxx year xxx cash flows xxx expected to xxxx forever xxxxxxxxx xxx NPV xx this investment xxxxxxxxxxx if your xxxx of xxxxxxx xx 8% xxxxxx you make xxx investment? Calculate xxx IRR xxx xxx it xx determine the xxxxxxx deviation allowable xx the xxxx xx capital xxxxxxxx to leave xxx decision unchanged xxxxxxxxxxxx = xxxxxx x 30/8% x $275 million xxxx make the xxxxxxxxxx IRR: x x –100 x 30/IRR IRR x 30/100 = xxx Okay xx xxxx as xxxx of capital xxxx not go xxxxx 30% xxx xxxx firm xx considering the xxxxxx of a xxx product, xxx xxx The xxxxxxx development cost xx $10 million, xxx you xxxxxx xx earn x cash flow xx $3 million xxx year xxx xxx next xxxx years Plot xxx NPV profile xxx this xxxxxxx xxx discount xxxxx ranging from xx to 30% xxx what xxxxx xx discount xxxxx is the xxxxxxx attractive?R NPV xxxxx 5 xxx xx 24%5% x 84610% 1 xxxxxx 04920% – xxxxxx –1 xxxxxx xxxxxxx should xx accepted as xxxx as the xxxxxxxx rate xx xxxxx 15 xxx -222253886206-5 Bill xxxxxxx reportedly was xxxx $10 xxxxxxx xx write xxx book My xxx The book xxxx three xxxxx xx write xx the time xx spent writing, xxxxxxx could xxxx xxxx paid xx make speeches xxxxx his popularity, xxxxxx that xx xxxxx earn xx million per xxxx (paid at xxx end xx xxx year) xxxxxxxx instead of xxxxxxx Assume his xxxx of xxxxxxx xx 10% xxx year a xxxx is the xxx of xxxxxxxx xx write xxx book (ignoring xxx royalty payments)?b xxxxxx that, xxxx xxx book xx finished, it xx expected to xxxxxxxx royalties xx xx million xx the first xxxx (paid at xxx end xx xxx year) xxx these royalties xxx expected to xxxxxxxx at x xxxx of xxx per year xx perpetuity What xx the xxx xx the xxxx with the xxxxxxx payments?a Timeline:012310–8–8–8b xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx – x xxxxx - xxxxxxxxx calculate the xx of the xxxxxxxxx at xxxx x The xxxxxxxxx are a xxxxxxxxx perpetuity: So xxx value xxxxx xxxxx add xxxx to the xxx from part xxx 04019556-6 xxxxxxxxx xxxxxx Inc xx thinking of xxxxxxxxxx a new xxxxxxxxx road xxxx xxxxxxxxxxx will xxxx six years xxx the cost xx $200,000 xxx xxxx Once xx production, the xxxx is expected xx make xxxxxxxx xxx year xxx 10 years xxxxxx the cost xx capital xx xxx a xxxxxxxxx the NPV xx this investment xxxxxxxxxxxx assuming xxx xxxx flows xxxxx at the xxx of each xxxx Should xxx xxxxxxx make xxx investment?b By xxx much must xxx cost xx xxxxxxx estimate xxxxxxx to change xxx decision? (Hint: xxx Excel xx xxxxxxxxx the xxx )c What xx the NPV xx the xxxxxxxxxx xx the xxxx of capital xx 14%?a Timeline:01236716–200,000–200,000–200,000–200,000300,000300,000i xxx > xx xx the xxxxxxx should take xxx project ii xxxxxxx the xxx x 0 xxx solving for x (using a xxxxxxxxxxxx the xxxxxx xx IRR x 12 66% xx if the xxxxxxxx is xxx xxx by x 66%, the xxxxxxxx will change xxxx accept xx xxxxxx iii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx You are xxxxxxxxxxx an investment xx a xxxxxxx xxxxxxxxxxx The xxxxxxx needs $100,000 xxxxx and expects xx repay xxx xxxxxxxx in x year from xxx What is xxx IRR xx xxxx investment xxxxxxxxxxxx Given the xxxxxxxxx of the xxxxxxxxxx opportunity, xxxx xxxx of xxxxxxx is 20% xxxx does the xxx rule xxx xxxxx whether xxx should invest?IRR x 120000/100000 – x = xxx xxx are xxxxxxxxxxxxxx You have xxxx offered a xxxx long xxxx xxxxxxxxxx opportunity xx increase your xxxxx one hundredfold xxx can xxxxxx xxxxx today xxx expect to xxxxxxx $100,000 in xx years xxxx xxxx of xxxxxxx for this xxxxx risky) opportunity xx 25% xxxx xxxx the xxx rule say xxxxx whether the xxxxxxxxxx should xx xxxxxxxxxxx What xxxxx the NPV xxxxx Do they xxxxxxxxxx rules xxxxxxxxxx xxx undertake xxx investment 6-10 xxxx the IRR xxxx agree xxxx xxx NPV xxxx in Problem xx Explain Timeline:01234–100303030The xxx solvesSince xxx xxx exceeds xxx 8% discount xxxxx the IRR xxxxx the xxxx xxxxxx as xxx NPV rule xxxxxxxxxxx How many xxxx are xxxxx xx part xxx of Problem xx Does the xxx rule xxxx xxx right xxxxxx in this xxxxx How many xxxx are xxxxx xx part xxx of Problem xx Does the xxx rule xxxx xx this xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx is the x that solvesTo xxxxxxxxx how xxxx xxxxxxxxx this xxxxxxxx has, plot xxx NPV as x function xx xxxxx the xxxx there is xxx IRR of xx 74% xxxxx xxx IRR xx much greater xxxx the discount xxxxx the xxx xxxx says xxxxx the book xxxxx this is x negative xxx xxxxxxx (from x 5a), the xxx gives the xxxxx answer xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx xxx 0 xxxxx 03)2From 6 xxxx the NPV xx these xxxx xxxxx isPlotting xxx NPV as x function of xxx discount xxxx xxxxxxxx plot xxxxx that there xxx 2 IRRs xxx 7 xxxx xxx 41 xxxx The IRR xxxx give an xxxxxx in xxxx xxxxx so xx does not xxxxxxxx Professor Wendy xxxxx has xxxx xxxxxxx the xxxxxxxxx
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