Question
Proposed project: Alchemy Mines is considering an investment in the rights to a gold mine. Initial investment The owner of the mine will sell the
Proposed project: Alchemy Mines is considering an investment in the rights to a gold mine. Initial investment The owner of the mine will sell the rights to Alchemy Mines at a cost of $2,500,000 payable immediately. Purchase of the rights entitles Alchemy Mines to all mining rights provided mining commences within one year and continues without interruption until the entire deposit is recovered and the land restored in compliance with regulatory requirements. If mining does not commence in one year, the title to the mine reverts to the seller.
Expected operating variables The firm has made the following assumptions regarding operating cash flows for the mine:
Recoverable gold: 25,000 ounces
Current market price of gold: $1635.90 per ounce
Expected price of gold in one year: $1665.30 per ounce
Expected fixed costs of mining and refining: $5,000,000
Expected variable costs of mining and refining: $1355.00 per ounce
Cost to restore the land and remediate environmental damage: $250,000
No taxes are paid on profits from the project
If the firm mines the gold, all cash in- and out-flows from mining and selling the gold and for remediation will occur in one year.
Additional Information:
The firm estimates additional economic variables as follows:
Risk free interest rate equals 1.25%
Expected market return: 11.50%
Beta for gold mining and smelting: 0.35
Standard deviation of annual returns on gold prices: 0.1650
1. Use net present value analysis to determine whether the firm should accept the proposed Alchemy Mines project.
a. Determine the amount and timing of all expected cash flows for the proposed project.
b. Determine the appropriate discount rate (using CAPM).
c. Calculate NPV.
d. Indicate whether Alchemy Mines should accept the project based on it NPV and explain
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