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Activity 2: Concept Check Extension to Q2 (skip if time is restricted) State clearly if you would accept the following independent projects? Assume the opportunity cost of capital is 12% for each project and that the cash flows generated for each project are conventional. If you decide to undertake an investment in a project explain why? If you decide not to undertake investment in a project explain why not? (i) “Project alpha” has a small, but negative, NPV. (ii) “Project beta” has a very small positive NPV when discounted at 10%. (iii) “Project gamma” has a cost of capital that exceeds its rate of return. (iv) “Project delta” has a zero NPV when discounted at 14%.

Question

Activity 2: Concept Check

Extension to Q2 (skip if time is restricted)

State clearly if you would accept the following independent projects? Assume the opportunity cost of capital is 12% for each project and that the cash flows generated for each project are conventional. If you decide to undertake an investment in a project explain why? If you decide not to undertake investment in a project explain why not?

(i) “Project alpha” has a small, but negative, NPV. (ii) “Project beta” has a very small positive NPV when discounted at 10%. (iii) “Project gamma” has a cost of capital that exceeds its rate of return. (iv) “Project delta” has a zero NPV when discounted at 14%.

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Solution

(i) "Project Alpha" would not be a good investment because it has a negative Net Present Value (NPV). This means that the present value of its future cash flows, discounted at the opportunity cost of capital (12%), is less than the initial investment required. Therefore, investing in this project would result in a net loss.

(ii) "Project Beta" has a positive NPV when discounted at 10%, which is less than the opportunity cost of capital (12%). This means that the present value of its future cash flows is greater than the initial investment required. However, since the discount rate used to calculate this NPV is less than the opportunity cost of capital, it is likely that the NPV would become negative if discounted at 12%. Therefore, this project would also not be a good investment.

(iii) "Project Gamma" has a cost of capital that exceeds its rate of return. This means that the cost to finance the project is greater than the profits it is expected to generate. Therefore, this project would not be a good investment because it would result in a net loss.

(iv) "Project Delta" has a zero NPV when discounted at 14%, which is greater than the opportunity cost of capital (12%). This means that the present value of its future cash flows, discounted at a rate higher than the opportunity cost of capital, is equal to the initial investment required. Therefore, it is likely that the NPV would become positive if discounted at 12%, making this project a good investment.

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