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The Spinning Politician Company is considering three mutually exclusive projects

ID: 2573115 • Letter: T

Question

The Spinning Politician Company is considering three mutually exclusive projects: Adscams, Boondoggles and Closures. Project Adscams requires an initial investment of $12.000 and is expected to generate after-tax cash flows of $6,000 per year for five years. Project Boondoggles requires an initial investment of S18,000 and is expected to generate after-tax cash flows of $10,000 per year for three years. Project Closures requires an initial investment of $25,000 and is expected to generate $11,000 per year for four years. All projects can be replicated, and the initial cash outlay is net of any potential tax benefits for each. The project betas for Adscams, Boondoggles and Closures are 1.2, 0.9 and 1.5, respectively. The risk-free rate is 4.25 percent and the expected return on the market is 10.5 percent Required: a) b) c) Find the required rates of return for the three projects. Find the NPV of each of the three projects. Which project should the company undertake and why?

Explanation / Answer

1. required rate of return = risk free + beta ( market return - risk free)

adscams =4.25 +1.2(10.5 - 4.25)

=11.75 %

Boondoggles = 4.25 + 0.9(10.5 - 4.25)

=9.875%

Closures= 4.25 +1.5(10.5 - 4.25)

=13.625%

2.NPV = present value of cash inflow - present value of cash outflow

Adscams = 6000* PVAF(11.75, 5years) - 12000

= 21763 - 12000

=$ 9763

Boondoggles = 10000 * PVAF (9.875 , 3years) - 18000

=24923 - 18000

=$6923

Closures = 11000 * PVAF (13.625, 4 years ) - 25000

=32299 - 25000

=$ 7299

3. Company should undertake project with highest npv but given projects have different life , therefore project should be selected in following manner

adscams = NPV / PVAF

=9763 / 3.6272

=$2692

Boondoggles = 6923 / 2.4923
=$2778

Closures = 7299 / 2.93625

=$2486

Boondoggles has highest npv , so this project should be undertaken..

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