Concept explainers
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
To calculate: The net present value and internal rate of return
Introduction:
NPV and IRR help to make capital-budget decisions. It would choose an alternative or an investment to increase the value of an enterprise.
Answer to Problem 1P
The NPV is 909.09 and IRR is 20%.
Explanation of Solution
Given information: Person X’s brother wishes to borrow $10,000 from Person X and offered to pay back $12,000 per year. The cost of capital for the investment opportunity is 10%.
Formula to compute the NPV:
Compute the NPV:
Hence, the NPV is $909.09.
Formula to compute IRR:
Compute the IRR:
Hence, the IRR is 20%.
Determine the maximum deviation allowable in the cost of capital without making any changes to the decision:
The calculated internal rate of return is 20%. Hence, the cost of capital can be increased up to 10% leaving the decision unchanged.
Want to see more full solutions like this?
Chapter 7 Solutions
Corporate Finance, Fourth Canadian Edition Plus Mylab Finance With Pearson Etext -- Access Card Package (4th Edition)
- Falkland, Inc., is considering the purchase of a patent that has a cost of $50,000 and an estimated revenue producing life of 4 years. Falkland has a cost of capital of 8%. The patent is expected to generate the following amounts of annual income and cash flows: A. What is the NPV of the investment? B. What happens if the required rate of return increases?arrow_forwardBouvier Restaurant is considering an investment in a grill that costs $140,000, and will produce annual net cash flows of $21,950 for 8 years. The required rate of return is 6%. Compute the net present value of this investment to determine whether Bouvier should invest in the grill.arrow_forwardMason, Inc., is considering the purchase of a patent that has a cost of $85000 and an estimated revenue producing lite of 4 years. Mason has a required rate of return that is 12% and a cost of capital of 11%. The patent is expected to generate the following amounts of annual income and cash flows: A. What is the NPV of the investment? B. What happens if the required rate of return increases?arrow_forward
- Wansley Lumber is considering the purchase of a paper company, which would require an initial investment of $300 million. Wansley estimates that the paper company would provide net cash flows of $40 million at the end of each of the next 20 years. The cost of capital for the paper company is 13%. Should Wansley purchase the paper company? Wansley realizes that the cash flows in Years 1 to 20 might be $30 million per year or $50 million per year, with a 50% probability of each outcome. Because of the nature of the purchase contract, Wansley can sell the company 2 years after purchase (at Year 2 in this case) for $280 million if it no longer wants to own it. Given this additional information, does decision-tree analysis indicate that it makes sense to purchase the paper company? Again, assume that all cash flows are discounted at 13%. Wansley can wait for 1 year and find out whether the cash flows will be $30 million per year or $50 million per year before deciding to purchase the company. Because of the nature of the purchase contract, if it waits to purchase, Wansley can no longer sell the company 2 years after purchase. Given this additional information, does decision-tree analysis indicate that it makes sense to purchase the paper company? If so, when? Again, assume that all cash flows are discounted at 13%.arrow_forwardYour division is considering two investment projects, each of which requires an up-front expenditure of 25 million. You estimate that the cost of capital is 10% and that the investments will produce the following after-tax cash flows (in millions of dollars): a. What is the regular payback period for each of the projects? b. What is the discounted payback period for each of the projects? c. If the two projects are independent and the cost of capital is 10%, which project or projects should the firm undertake? d. If the two projects are mutually exclusive and the cost of capital is 5%, which project should the firm undertake? e. If the two projects are mutually exclusive and the cost of capital is 15%, which project should the firm undertake? f. What is the crossover rate? g. If the cost of capital is 10%, what is the modified IRR (MIRR) of each project?arrow_forwardRedbird Company is considering a project with an initial investment of $265,000 in new equipment that will yield annual net cash flows of $45,800 each year over its seven-year life. The companys minimum required rate of return is 8%. What is the internal rate of return? Should Redbird accept the project based on IRR?arrow_forward
- Your company is planning to purchase a new log splitter for is lawn and garden business. The new splitter has an initial investment of $180,000. It is expected to generate $25,000 of annual cash flows, provide incremental cash revenues of $150,000, and incur incremental cash expenses of $100,000 annually. What is the payback period and accounting rate of return (ARR)?arrow_forwardMarkoff Products is considering two competing projects, but only one will be selected. Project A requires an initial investment of $42,000 and is expected to generate future cash flows of $6,000 for each of the next 50 years. Project B requires an initial investment of $210,000 and will generate $30,000 for each of the next 10 years. If Markoff requires a payback of 8 years or less, which project should it select based on payback periods?arrow_forwardThere are two projects under consideration by the Rainbow factory. Each of the projects will require an initial investment or $28.000 and is expected to generate the following cash flows: If the discount rate is 5% compute the NPV of each project and make a recommendation of the project to be chosen.arrow_forward
- Tropical Sweets is considering a project that will cost $70 million and will generate expected cash flows of $30 million per year for 3 years. The cost of capital for this type of project is 10%, and the risk-free rate is 6%. After discussions with the marketing department, you learn that there is a 30% chance of high demand with associated future cash flows of $45 million per year. There is also a 40% chance of average demand with cash flows of $30 million per year as well as a 30% chance of low demand with cash flows of only $15 million per year. What is the expected NPV?arrow_forwardStaten Corporation is considering two mutually exclusive projects. Both require an initial outlay of 150,000 and will operate for five years. The cash flows associated with these projects are as follows: Statens required rate of return is 10%. Using the net present value method and the present value table provided in Appendix A, which of the following actions would you recommend to Staten? a. Accept Project X and reject Project Y. b. Accept Project Y and reject Project X. c. Accept Projects X and Y. d. Reject Projects X and Y.arrow_forwardEach of the following scenarios is independent. All cash flows are after-tax cash flows. Required: 1. Patz Corporation is considering the purchase of a computer-aided manufacturing system. The cash benefits will be 800,000 per year. The system costs 4,000,000 and will last eight years. Compute the NPV assuming a discount rate of 10 percent. Should the company buy the new system? 2. Sterling Wetzel has just invested 270,000 in a restaurant specializing in German food. He expects to receive 43,470 per year for the next eight years. His cost of capital is 5.5 percent. Compute the internal rate of return. Did Sterling make a good decision?arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage LearningCornerstones of Cost Management (Cornerstones Ser...AccountingISBN:9781305970663Author:Don R. Hansen, Maryanne M. MowenPublisher:Cengage Learning
- Principles of Accounting Volume 2AccountingISBN:9781947172609Author:OpenStaxPublisher:OpenStax CollegeManagerial Accounting: The Cornerstone of Busines...AccountingISBN:9781337115773Author:Maryanne M. Mowen, Don R. Hansen, Dan L. HeitgerPublisher:Cengage Learning