Question 6 You are making a bid to take over a company that George currently owns and controls. George has private information about whether the company is "good" or "bad," but you only know that the company is bad with probability and good with probability 2. You are well aware that he has this private information. As you can see from the matrix below, your expertise lies in controlling "good" companies. If the company is "bad," then it is more valuable under George's control than yours. Value under George's Control Value under Your Control $40

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Chapter1: Making Economics Decisions
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Question 6
You are making a bid to take over a company that George currently owns and controls.
George has private information about whether the company is "good" or "bad," but you
only know that the company is bad with probability and good with probability 2. You
are well aware that he has this private information.
As you can see from the matrix below, your expertise lies in controlling "good"
companies. If the company is "bad," then it is more valuable under George's control than
yours.
Value under George's Control Value under Your Control
$40
SO
Bad
(Prob. 1/2)
$80
$140
Good
(Prob. 1/2)
(a) Suppose you could make a single take-it-or-leave-it cash offer for the 100%
ownership and control of this company. What is the offer that maximizes your expected
profit? What are your expected profits from this offer? Explain.
Your cash offer:
Your expected profits:
Justification:
Transcribed Image Text:Question 6 You are making a bid to take over a company that George currently owns and controls. George has private information about whether the company is "good" or "bad," but you only know that the company is bad with probability and good with probability 2. You are well aware that he has this private information. As you can see from the matrix below, your expertise lies in controlling "good" companies. If the company is "bad," then it is more valuable under George's control than yours. Value under George's Control Value under Your Control $40 SO Bad (Prob. 1/2) $80 $140 Good (Prob. 1/2) (a) Suppose you could make a single take-it-or-leave-it cash offer for the 100% ownership and control of this company. What is the offer that maximizes your expected profit? What are your expected profits from this offer? Explain. Your cash offer: Your expected profits: Justification:
(b) Now suppose that you can make a take-it-or-leave-it equity-based offer to George:
You will pay him SX in cash upfront plus an additional fraction Y of the future equity
value of the company. What is the offer (consisting of X and Y) which maximizes your
expected profit? Explain.
Upfront cash payment X:
Additional fraction Y:
Justification:
Transcribed Image Text:(b) Now suppose that you can make a take-it-or-leave-it equity-based offer to George: You will pay him SX in cash upfront plus an additional fraction Y of the future equity value of the company. What is the offer (consisting of X and Y) which maximizes your expected profit? Explain. Upfront cash payment X: Additional fraction Y: Justification:
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