Concept explainers
Dilution [LO3] Eaton, Inc., wishes to expand its facilities. The company currently has 5 million shares outstanding and no debt. The stock sells for $29 per share, but the book value per share is $7. Net income is currently $3.2 million. The new facility will cost $45 million, and it will increase net income by $900,000.
a. Assuming a constant price–earnings ratio, what will the effect be of issuing new equity to finance the investment? To answer, calculate the new book value per share, the new total earnings, the new EPS, the new stock price, and the new market-to-book ratio. What is going on here?
b. What would the new net income for the company have to be for the stock price to remain unchanged?
a)
To find: The effect on issuing the new equity to fund the investment by assuming the constant price-earnings ratio
Introduction:
Dilution refers to the loss for the existing shareholders value in respect of percentage ownership, market value of the shares they hold, or, reduction in the book value or earnings per share.
Answer to Problem 9QP
The new book value of a share is $12.21, the new total earnings is $0.64 per share, the new earnings per share is $0.63, the new price of the stock is $28.63, the new market to book ratio is 2.3223, and the net present value is - $4,218,750.
Explanation of Solution
Given information:
Company E wants to expand their facilities. The current outstanding shares of the company is 5 million with no debts. The selling price of the share is $29 for a share and the book value of the share is $7. The current net income is $3.2 million. The cost of the new facility $45 million and will rise the net income by $900,000.
Explanation:
In this case of Company E, the company already has 5,000,000 outstanding shares and wishes to raise $45,000,000 to finance the new facility. The market value of the share is $29 per share.
Hence, at this price per share Company E will add 1,551,724
Hence, the total number of new shares after the rights offering is 6,551,724.
Formula to calculate the new book value after the rights offering:
Note: The ex-rights outstanding shares are the total number of new shares after the rights offering.
Computation of the new book value after the rights offering:
Hence, the new book value after the rights offering is $12.21.
Formula to compute the current earnings per share:
Computation of the current earnings per share:
Hence, the current earnings per share is $0.64.
Formula to calculate the P/E (price earnings) ratio:
Computation of the P/E (price earnings) ratio:
Hence, the P/E ratio is 45.31 times.
Computation of the new earnings per share if there is an increase in the net income by $900,000:
Now, when the net income rises by $900,000, the earnings per share (EPS) would vary. The new net income would be $4,100,000
Hence, the new earnings per share is $0.63.
Formula to calculate the new price of the share:
Note: The price earning ration is constant.
Computation of the new price of the share:
Hence, the new price of the share is $28.36.
Formula to calculate the current market to book ratio:
Computation of the current market to book ratio:
Hence, the market to book ratio is 4.4129.
Formula to compute the new market to book ratio:
Computation of the new market to book ratio:
Hence, the new market to book ratio is 2.3223.
Computation of the net present value:
The operating performance after the new facility financing seems to be unsatisfactory for the Company E as it gives a negative Net Present Value (NPV). Compute this by adding the cost of the new facility to the difference between the new market value of the company and the current market value of the company, which is as follows:
Hence, the net present value is - $4,218,750.
b)
To find: The new net income of the company.
Introduction:
Dilution refers to the loss for the existing shareholders value in respect of percentage ownership, market value of the shares they hold, or, reduction in the book value or earnings per share.
Answer to Problem 9QP
The new net income of the company is $4,193,103.
Explanation of Solution
Given information:
Company E wants to expand their facilities. The current outstanding shares of the company is 5 million with no debts. The selling price of the share is $29 for a share and the book value of the share is $7. The current net income is $3.2 million. The cost of the new facility $45 million and will rise the net income by $900,000.
Formula to calculate the net income:
Computation of the new net income:
For Company E, since the price earnings ratio remains the same, the earnings per share must also remain unchanged. With the total number of outstanding shares of 6,551,724 and with the EPS of $0.64(unchanged), the new net income is calculated as follows:
Hence, the new net income is $4,193,103.
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Chapter 15 Solutions
Fundamentals of Corporate Finance (Special Edition for Rutgers Business School)
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