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The table below presents the pay-off profile for the firm (all values in millions of $). Assume that the managers objective is to maximize the

The table below presents the pay-off profile for the firm (all values in millions of $). Assume that the managers objective is to maximize the value to current shareholders and that the manager knows the true state of the world, but the public does not.

Good State

Bad State

Probability

70%

30%

PV of Assets in Place

155

60

Investment Cost

30

30

PV of New Investment

35

33

NPV of Investment

5

3

Value of Assets with Investment

175

65

The manager announces that she will invest in the new project. Suppose that first the manager will raise $30M by issuing equity and that the public does not infer the state of the world from the managers actions.

What percentage of the firm will be sold to raise $30M?

0.21

0.25

0.31

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