NPV and IRR Analysis After discovering a new gold vein in the Colorado mountains
ID: 2725909 • Letter: N
Question
NPV and IRR Analysis
After discovering a new gold vein in the Colorado mountains, CTC Mining Corporation must decide whether to go ahead and develop the deposit. The most cost-effective method of mining gold is sulfuric acid extraction, a process that results in environmental damage. Before proceeding with the extraction, CTC must spend $900,000 for new mining equipment and pay $165,000 for its installation. The gold mined will net the firm an estimated $350,000 each year over the 5-year life of the vein. CTC's cost of capital is 14%. For the purposes of this problem, assume that the cash inflows occur at the end of the year.
What is the project's NPV? Round your answer to the nearest dollar.
$
What is the project's IRR? Round your answer to two decimal places.
%
Should this project be undertaken if environmental impacts were not a consideration?
-Select-YesNoItem 3
How should environmental effects be considered when evaluating this, or any other, project?
-Select-IIIIIIItem 4
I. Environmental effects should be treated as sunk costs.
II. Environmental effects could be added by estimating penalties or any other cash outflows that might be imposed on the firm to help return the land to its previous state (if possible).
III. Environmental effects should be ignored since they would have no effect on the project's profitability.
Explanation / Answer
CALCULATION OF NPV
Annual Cashflow = $ 350000 for 5 year
Cost of Capital = 14%
Present Value of Cash Inflow = Annual Cashflow * PVIFA ( 14% , 5 )
= 350000 * 3.4331
= 1201585
Cash Outflow :
Cost of mining EQuipment = $ 900000
Installation Charges = $165000
$ 1065000
NPV = PV of cash inflow - Cash Outflow
= 1201585 - 1065000
= 136585
b. Calculation Of IRR
Using Interplaotion :
R = 19 + (1070160 - 1065000) / (1070160 - 1046710)
= 19 + 5160 / 23450
= 19 + 0.22 = 19.22
IRR = 19.22%
c. Yes
D. Environmental effects should be ignored since they would have no effect on the project's profitability.
Inflow Rate ( R) PV of R PV of Cash Inflow Cash Outflow 350000 20% 2.9906 1046710 1065000 350000 19% 3.0576 1070160 1065000Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.