Question

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 $10.66 million at Year 0 to mitigate the environmental Problem, but it would not be required to do so. Developing the mine (without mitigation) would cost $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 12%.

1. Calculate the NPV and IRR with mitigation. Round your answers to two decimal places. Do not round your intermediate calculations. Enter your answer for NPV in millions. For example, an answer of $10,550,000 should be entered as 10.55.
   NPV $
   IRR %

   Calculate the NPV and IRR without mitigation. Round your answers to two decimal places. Do not round your intermediate calculations. Enter your answer for NPV in millions. For example, an answer of $10,550,000 should be entered as 10.55.
   NPV $
   IRR %

Answer 1

Year	CashFlow	PV	NPV
0	-66	-66	13.31
1	22	19.64286	IRR
2	22	17.53827	7.02%
3	22	15.65917
4	22	13.9814
5	22	12.48339

ABove table is cash flow without mitigation

PV is calculated by formula: cashflow/(1+0.12)ⁿ

n is number of periods. (year value)

IRR is calculated in Excel using the Excel formula

WIth Mitigation:

Year	CashFlow	PV	NPV
0	-76.66	-76.66	6.25
1	23	20.53571	IRR
2	23	18.33546	2.89%
3	23	16.37095
4	23	14.61692
5	23	13.05082