An aspect of investment analysis that you and your team had thought about was th

Question

An aspect of investment analysis that you and your team had thought about was the different outcomes that may happen when managing projects and how to adjust management’s expectations for return in light of the real options or probabilities that alternative scenarios may develop depending on available information. You determine the best activity for your team to explain this to the CFO and management is to use a real example from a project you are currently evaluating. The most recent example was the company decision whether to invest $50 Million in developing and implementing a new enterprise system to help manage resources and meet customer demand in the face of considerable technological and market uncertainty. There can be a good and bad result for this investment. Good Result: A good result has a probability of .5 of occurring. Here the planned cost reductions have been realized and better integration of the supply chain is possible. These benefits are leveraged by strong market demand for the firm's product. There have also been feedback benefits, the enterprise system has significantly improved perceived quality and service from the customer's point of view. Annual benefits under this scenario equal $15 million in after tax cash flow per year over the life of the system which has been estimated as 10 years. Bad Result: The system proves to be more difficult to implement and improvements in management of the supply chain are less. In addition, the growth in market demand for the product is lower. Annual benefits under this scenario are $2 million in after tax cash flow per year for the 10 years. Real Options: For these capital investments you must analyze the nature of risk in this capital investment and decide on how to adjust for that risk. You have decided to utilize an NPV analysis of the project. Now you must define project risks and utilize the concepts in real options to adjust or plan for that risk. It will be best for you to provide an option tree graphic to show the options and then provide a table with the computations showing how you would compute the value of this project. Scenario #1: Use 10% cost of capital in computations and compute the good result and poor result NPVs. Calculate the real option NPV using the results computed. Scenario #2: Use a risk adjusted cost of capital against the good scenario above which can adjust for risk variables such as; experience with the focus of the project, chance of change to estimated variables (revenue, costs, timing, etc) and/or the potential change in cost of capital in the future. Compute the new NPV using a variety of risk adjusted discount rates. Justify your computations in determining how you have adjusted discount rates for risk. Discuss the outcomes from your adjustments and how you would apply them in capital expenditure justification. Concept Check: Risk in finance is deviation from expectation. We use this concept in computing beta by mathematically computing the Security Market Line (SML) for assets and then computing the deviation of the individual assets against the market. The utilization of real option analysis in project evaluation is similar to these concepts and the concept of weighted average cost of capital. Helpful Hint: Risk adjustment in project management can be achieved in several manners. In the case of real options we first need to identify the different paths our investments can take and then the probability that each event may occur.

Here is what I have for scenario 1:

Please help with scenario 2

Good Result Investment $ 50,000,000.00 Enterprise System Life 10 years Annual Benefits $ 15,000,000.00 Cost of Capital 10% PVIF @ 10 years ($92,168,506.59) NPV $ 42,168,506.59 Bad Result Investment $ 50,000,000.00 Enterprise System Life 10 years Annual Benefits $    2,000,000.00 Cost of Capital 10% PVIF @ 10 years ($12,289,134.21) NPV $ (37,710,865.79) Real Option Good Result Annual Benefits $    7,500,000.00 Bad Result Annual Benefits $    1,000,000.00 $    8,500,000.00 PVIF @ 10 years ($52,228,820.40) NPV $    2,228,820.40

Please help with scenario 2

Explanation / Answer

Answer:

To calculate risk adjusted discount rate, we need to consider all the risk factors which may affect NPV of the project.Following are the risk factors, which affects result of project.

Now if we assume that each of the above noted factor adds risk to project and arbitrary we add 0.5% to cost of capital for each of the factor new discount rate for calculation of NPV = (10%+0.5%+0.5%+0.5%) = 11.50%

New NPV under scenario 2 will be as follows:

$     (973,700.00)

So, with the help of risk adjusted rate we have computed above noted NPV, we can also calculate risk adjusted rate by doing sensitivity analysis and compute new discounting rate, basically risk adjusted discount rate differs from one scenario to another and NPV will change accordingly. In above calculation we have added risk premium to original discount rate arbitrary in the absence of sensitivity analysis information.

Good Result Investment   $ 50,000,000.00 Enterprise System Life 10 years Annual Benefits   $ 15,000,000.00 Risk adjusted cost of capital 11.5% (PVIFA @ 11.50%, 10 years x 15 million annual benefit) = 5.7678 x 15 million = $8,651,700.00 NPV = Present value of annual benefit - investment $ 36,517,000.00 Bad Result Investment   $ 50,000,000.00 Enterprise System Life 10 years Annual Benefits   $ 2,000,000.00 Risk adjusted cost of capital 11.5% (PVIFA @ 11.50%, 10 years x 15 million annual benefit) = 5.7678 x 2 million = $11,535,600.00 NPV = Present value of annual benefit - investment $ (38,464,400.00) Real Option Good Result Annual Benefits = (15 million x 0.5) = $    7,500,000.00 Bad Result Annual Benefits = (2 million x 0.5) $    1,000,000.00 Annual Benefits $    8,500,000.00 Risk adjusted cost of capital 11.5% Investment   $ 50,000,000.00 (PVIFA @ 11.50%, 10 years x 15 million annual benefit) = 5.7678 x 8.5 million = $49,026,300.00 NPV = Present value of annual benefit - investment

$     (973,700.00)

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