Consider a firm whose only asset is a plot of vacant land, and
whose only liability...
Consider a firm whose only asset is a plot of vacant land, and
whose only liability is debt of $15 million due in one year. If
left vacant, the land will be worth $10 million in one year.
Alternatively, the firm can develop the land at an upfront cost of
$20 million. The developed land will be worth $35 million in one
year. Suppose the risk-free interest rate is 10%, assume all cash
flows are risk-free, and assume there are no taxes.
If the firm chooses not to develop the land, what is
the value of the firm’s equity today? What is the value of the debt
today?
What is the NPV of developing the land?
Suppose the firm raises $20 million from equity holders
to develop the land. If the firm develops the land, what is the
value of the firm’s equity today? What is the value of the firm’s
debt today?
Given your answer to part (c), would equity holders be
willing to provide the $20 million needed to develop the
land?
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Alternatively, the firm can develop the land at an up-front cost
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of $ 20.4 million. The developed the land will be worth $ 35
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