A project has expected cash flows with a present value of $75 million. The annual standard deviation of the project's returns is 35%. The company can delay the start of the project by 1 year to find out more about the demand for the product. If the company decides to go ahead with the project after 1 year, the company needs to invest $50 million. The risk-free rate is 5% (continuously compounded). What is the value of the option to delay (in $ million)?
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A project has expected cash flows with a present value of $75 million. The annual standard deviation of the project's returns is 35%.
The company can delay the start of the project by 1 year to find out more about the demand for the product. If the company decides to go ahead with the project after 1 year, the company needs to invest $50 million.
The risk-free rate is 5% (continuously compounded).
What is the value of the option to delay (in $ million)?
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- 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?You currently have $50,000 in cash. You have access to a project which requires an initial investment of $50,000. One year from now this project will pay either $40,000 with a probability 50% or $100,000 with probability 50%. After this, there are no further cash flows. Assume risk neutrality and an annual discount rate of 10%. This is also the risk-free rate. (a) What is the NPV of this project? (b) Suppose you decide to finance this project with your own cash. How much money do you expect to have one year from now? (c) You have found investors who will fund the full cost of the project through equity. You will invest your cash at a risk-free rate. What is the share of equity they will ask for? How much money do you expect to have one year from now? (d) You have found investors who will give you a loan for the full cost of the project. You will invest your cash at a risk-free rate. Assume in case of default, these investors can claim all of the project's cash flows, but cannot claim…You currently have $50,000 in cash. You have access to a project which requires an initial investment of $50,000. One year from now this project will pay either $40,000 with a probability 50% or $100,000 with probability 50%. After this, there are no further cash flows. Assume risk neutrality and an annual discount rate of 10%. This is also the risk-free rate. (d) You have found investors who will give you a loan for the full cost of the project. You will invest your cash at a risk-free rate. Assume in case of default, these investors can claim all of the project's cash flows, but cannot claim the cash you have invested outside of the project. What is the face value of the loan and the interest rate? How much money do you expect to have one year from now? (e) In light of your numerical answers above, discuss Modigliani and Miller's 1st proposition.
- A project costing $100 will produce perpetual net cash flows that have an annual volatility of 35% with no expected growth. If the project existed, net cash flows today would be $8. The project beta is 0.5, the effective annual risk-free rate is 5%, and the effective annual risk premium on the market is 8%. What is the static NPV of the project? What would you pay to acquire the rights to this project if investment rights lasted only 3 years? What would you pay to acquire perpetual investment rights?Zuti has a capital investment project that could start immediately. The project will require a machine costing $2.4 million. The total discounted value now of the cash inflows from the project will be either $2.6 million or $1.9 million with equal probability. The risk-free rate is 3%. Instead of starting immediately the project could be delayed until one year from now to gain more market information. Its total discounted cash inflows at that time will be known as either $2.6 million, or $1.9 million, with certainty. (i) What is the present value of the option to delay? (ii) The supplier of the machine has offered to deliver it (if required) in one year's time at a price of only $2 million, if Zuti pays a non-refundable deposit now. What is the maximum the firm should pay as a deposit now? What type of real option does this represent for Zuti? Identify the specific components of the option contract.A project has two possible outcomes. The good outcome returns $8,000 next year and occurs 88% of the time. The bad outcome is total failure, returning $0, the rest of the time. If the risk free interest rate is 4.8%, the expected market return is 10.4%, and the project beta is 1.1, what is the price of the project today?
- Ariake Inc. is considering a major expansion of its product line and has estimated the following free cash flows associated with such an expansion. The initial outlay would be $1,850,000, and the project would generate incremental free cash flows of $400,000 per year for 7 years. The appropriate required rate of return is 8 percent. a. Calculate the NPV b. Calculate the PI c. Calculate the IRR d. Should the project be accepted? Why? (*You must show your calculation process as well.)Marites Company is considering a 5-year project. The company plans to invest P900,000 now and it forecasts cash flows for each year of P270,000. The company requires that investments yield a discount rate of at least 14%. Calculate the internal rate of return to determine whether it should accept this project. Group of answer choices A. The project should be rejected because it will not earn exactly 14%. B. The project should be rejected because it will earn less than 14%. C. The project should be accepted because it will earn more than 10%. D. The project will earn more than 12% but less than 14%. At a hurdle rate of 14%, the project should be rejected. E. The project should be accepted because it will earn more than 14%."Consider a $1310 investment that will produce perpetual cash flows. If the demand is high, the expected cash flows will be $161 per year. Otherwise, the expected cash flows will be $46 per year. The initial probabilities for high vs. low demand are 80%/20%, but after the first cash flow is realized, the firm will know with certainty whether the demand is high or low. At that time, the project can be abandoned with a terminal cash flow of $1259. The cost of capital is 5%. What is the NPV including the option to abandon?" A) "$1,649 " B) "$1,284" C) "$1,515 " D) "$1,426" E) "$1,620"
- You are examining a new project. You expect to sell 7,000 units per year at €60 net cash flow apiece for the next 10 years. The relevant discount rate is 16 per cent, and the initial investment required is €1,800,000. a. After the first year, the project can be dismantled and sold for €1,400,000. If expected sales are revised based on the first year’s performance, when would it make sense to abandon the investment? In other words, at what level of expected sales would it make sense to abandon the project? b. Explain how the €1,400,000 abandonment value can be viewed as the opportunity cost of keeping the project in one yearYour firm is considering a project with the following cash flows: You learn that the firm can abandon the project, if it so chooses, after 1 year of operation,in which case it can sell the asset and receive $15,000 in cash at the end of Year 2. Assumethat all cash flows are after-tax amounts. The WACC is 12%.a. What is the project’s expected NPV without the abandonment option?b. What is the expected NPV with the abandonment option?c. What is the value of the abandonment option?Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a strong economy, with each outcome being equally likely. The initial investment required for the project is $80,000, and the project's cost of capital is 15%. The risk-free interest rate is 5%. • What is the NPV for this project?• Suppose that to raise the funds for the initial investment, the project is sold to investors as an all-equity firm. The equity holders will receive the cash flows of the project in one year. What is the market value of the unlevered equity?