Consider an all-equity firm that is run by a manager who acts in the best interest of existing shareholders. The value of the firm's assets in place is either $50 or $210. The firm has an investment project that requires an investment of $45. The only way to finance this project is by issuing equity to new investors in a competitive stock market. The project generates a sure, risk-free cash flow of $50 next year (i.e. this cash flow does not depend on the value of assets in place). Everyone is risk neutral and there is no discounting. a. Suppose that everyone, including the manager, believes that the assets in place are worth $50 with probability ½ and $210 with probability 2. What fraction a of the firm's equity has to be issued to new investors to raise $45? Does the manager want to issue equity? b. Suppose now that there is asymmetric information. While the manager knows the true value of the assets in place, investors continue to view both possibilities as equally likely. Does a manager want to issue equity if assets in place are worth $210?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Consider an all-equity firm that is run by a manager who acts in the best interest of existing
shareholders. The value of the firm's assets in place is either $50 or $210. The firm has an
investment project that requires an investment of $45. The only way to finance this project is
by issuing equity to new investors in a competitive stock market. The project generates a sure,
risk-free cash flow of $50 next year (i.e. this cash flow does not depend on the value of assets in
place). Everyone is risk neutral and there is no discounting.
a. Suppose that everyone, including the manager, believes that the assets in place are
worth $50 with probability ½ and $210 with probability 2. What fraction a of the firm's
equity has to be issued to new investors to raise $45? Does the manager want to issue
equity?
Transcribed Image Text:Consider an all-equity firm that is run by a manager who acts in the best interest of existing shareholders. The value of the firm's assets in place is either $50 or $210. The firm has an investment project that requires an investment of $45. The only way to finance this project is by issuing equity to new investors in a competitive stock market. The project generates a sure, risk-free cash flow of $50 next year (i.e. this cash flow does not depend on the value of assets in place). Everyone is risk neutral and there is no discounting. a. Suppose that everyone, including the manager, believes that the assets in place are worth $50 with probability ½ and $210 with probability 2. What fraction a of the firm's equity has to be issued to new investors to raise $45? Does the manager want to issue equity?
b. Suppose now that there is asymmetric information. While the manager knows the true
value of the assets in place, investors continue to view both possibilities as equally
likely. Does a manager want to issue equity if assets in place are worth $210?
Transcribed Image Text:b. Suppose now that there is asymmetric information. While the manager knows the true value of the assets in place, investors continue to view both possibilities as equally likely. Does a manager want to issue equity if assets in place are worth $210?
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