When there is a large shareholder, explain and show what happens to the following variables as the

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When there is a large shareholder, explain and show what happens to the following variables as the large shareholder becomes larger:

(a) The tender offer, \(\pi(\alpha)\).

(b) The cutoff value of \(Z, Z^{c}(\alpha)\).

(c) The market value of the firm, \(V(\alpha, q)\).

Assume now that \(c=0\) and let \(F(Z)\) be the uniform distribution on \([0,1]\). Solve for the values of \(\pi(\alpha)\) and the cutoff value \(Z^{c}(\alpha)\). Verify the relationships derived earlier in the exercise.

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