Estimate the correct value of Vulcan Enterprises for sale to a public buyer.

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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You are reviewing the valuation of Vulcan Enterprises, a private business. The analyst has estimated a value of $ 2.0 million for the company, which is in stable growth and expected to grow 3% a year in perpetuity. The firm has no debt outstanding and is expected to generate an after-tax operating income of $300,000 next year; the return on capital is anticipated to be 15%. The analyst valued the company for a private-to-private transaction, and the cost of equity he estimated is correct, given that setting. (He used a total beta to estimate the cost of equity, a risk-free rate of 4%, and an equity risk premium of 5%).
However, the buyer is a publicly-traded firm with diversified investors. The average R-
squared across publicly traded companies in this business is 25%. Estimate the correct value of Vulcan Enterprises for sale to a public buyer. 

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