Ch $11-$ End$-$of$-$Chapter Problems $-$ The Basics of Capital Budgeting

A mining company is considering a new project. Because the mine has received a permit, the project would be legal; but it would cause significant harm to a nearby river. The firm could spend an additional

$$10\mathrm{.}66$ million at Year $0$ to mitigate the environmental problem, but it would not be required to do so$.$ Developing the mine $($without mitigation$)$ would require an initial outlay of $$66$ million, and the expected

cash inflows would be $$22$ million per year for $5$ years. If the firm does invest in mitigation, the annual inflows would be $$23$ million. The risk$-$adjusted WACC is $10\%.$

a$.$ Calculate the NPV and IRR with mitigation. Enter your answer for NPV in millions. For example, an answer of $$10,550,000$ should be entered as $10\mathrm{.}55.$ Do not round intermediate calculations. Round

your answers to two decimal places.

NPV: $

million

IRR:

$\%$

Calculate the NPV and IRR without mitigation. Enter your answer for NPV in millions. For example, an answer of $$10,550,000$ should be entered as $10\mathrm{.}55.$ Do not round intermediate calculations.

Round your answers to two decimal places.

NPV: $

million

IRR:

$\%$

b$.$ How should the environmental effects be dealt with when this project is evaluated?

I. The environmental effects if not mitigated could result in additional loss of cash flows and$/$or fines and penalties due to ill will among customers, community, etc. Therefore, even though

the mine is legal without mitigation, the company needs to make sure that they have anticipated all costs in the $"$no mitigation" analysis from not doing the environmental mitigation.

II$.$ The environmental effects should be ignored since the mine is legal without mitigation.

III. The environmental effects should be treated as a sunk cost and therefore ignored.

IV$.$ The environmental effects if not mitigated would result in additional cash flows. Therefore, since the mine is legal without mitigation, there are no benefits to performing a $"$no mitigation"

analysis.

V$.$ The environmental effects should be treated as a remote possibility and should only be considered at the time in which they actually occur.

$-$Select$-$

c$.$ Should this project be undertaken?

$-$Select$-$

If so$,$ should the firm do the mitigation?

I. Under the assumption that all costs have been considered, the company would not mitigate for the environmental impact of the project since its IRR without mitigation is greater than its

IRR when mitigation costs are included in the analysis.

II$.$ Under the assumption that all costs have been considered, the company would mitigate for the environmental impact of the project since its NPV with mitigation is greater than its NPV

when mitigation costs are not included in the analysis.

III. Under the assumption that all costs have been considered, the company would not mitigate for the environmental impact of the project since its NPV without mitigation is greater than its

NPV when mitigation costs are included in the analysis.

IV$.$ Under the assumption that all costs have been considered, the company would mitigate for the environmental impact of the project since its IRR with mitigation is greater than its IRR

when mitigation costs are not included in the analysis.