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XYZ Inc., a diversified conglomerate, is deciding whether to buy a copper mine. XYZ already owns some gold mines and has recently invested in the

XYZ Inc., a diversified conglomerate, is deciding whether to buy a copper mine. XYZ already owns some gold mines and has recently invested in the biotech industry. XYZs cost of capital is currently 10%. The following is a list of other companies for which market data are available.

Firm Industry # shares (in millions) Price/share Debt (book value in millions) Beta Equity
A Gold/Biotech 3 10 15 1
B Copper 1 5 1 1.02
C Copper 2 20 0 0.8
D Copper 1.5 3 3 1.37

As a simplifying assumption you can set all debt betas equal to zero.

What opportunity cost of capital should XYZ use for evaluating whether to buy the copper mine? Use a risk free rate of 7% and a market risk premium (rm-rf) of 8%.

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