Sherwood Forest Products has a convertible bond quoted on the NYSE bond market at 90. (Bond quotes represent percentage of par value. Thus 70 represents \(700, 80 represents \)800, and so on.) It matures in 10 years and carries a coupon rate of 5½ percent. The conversion ratio is 25, and the common stock is currently selling for $33 per share on the NYSE.

  1. Compute the conversion premium.
  2. At what price does the common stock need to sell for the conversion value to be equal to the current bond price?

Short Answer

Expert verified
  1. The conversion premium is $75
  2. The stock price is $36

Step by step solution

01

Meaning of Common Stock

The standard ownership stake in a firm is called common stock. In other words, it's a strategy of apportioning corporate ownership; as a result, each share of common stock corresponds to a certain extent of an organization.

02

(a) Computing conversion premium

Given,

Convertible bond quoted on the NYSE bond market at 90 represented as $900

Calculation of Conversion value

Conversionvalue=Commonstockprice×Conversionratio=33×25=$825

Calculation of Conversion premium

Conversionpremium=Bondprice-Conversionvalue=$900-$825=$75

03

(b) Explaining the price the common stock needs to sell for the conversion value to be equal to the current bond price

Calculation of price of the bond

Stockprice=BondpriceConversionratio=$90025=$36

The stock price is $36; it must sell to be equal to the bond price. At this price, conversion price and bond price are equal.

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Most popular questions from this chapter

The Ellis Corporation has heavy lease commitments. Prior to SFAS No. 13, it merely footnoted lease obligations in the balance sheet, which appeared as follows:

In \( millions

In \) millions

Current assets

\(70

Current liabilities

\)30

Fixed assets

\(70

Long-term liabilities

\)30

Total liabilities

\(60

Stockholder’s equity

\)80

Total assets

\(140

Total stockholder’s equity and liabilities

\)140

The footnotes stated that the company had $14 million in annual capital lease obligations for the next 20 years.

e. In an efficient capital market environment, should the consequences of SFAS No. 13, as viewed in the answers to parts c and d, change stock prices and credit ratings?

Question: The Bailey Corporation, a manufacturer of medical supplies and equipment, is planning to sell its shares to the general public for the first time. The firm’s investment banker, Robert Merrill and Company, is working with Bailey Corporation in determining a number of items. Information on the Bailey Corporation follows:

Bailey corporation

Income statement

For the year 20X1

Sales (all on credit)

\(42,680,000

Cost of goods sold

\)32,240,000

Gross profit

\(10,440,000

Selling and administrative expenses

\)4,558,000

Operating profit

\(5,882,000

Interest expense

\)600,000

Net income before taxes

\(5,282,000

Taxes

\)2,120,000

Net income

\(3,162,000

Bailey corporation

Balance sheet

As of December 31, 20X1

Assets

Current assets:

Cash

\)250,000

Marketable securities

\(130,000

Accounts receivables

\)6,000,000

Inventory

\(8,300,000

Total current assets

\)14,680,000

Net plant and equipment

\(13,970,000

Total assets

\)28,650,000

Liabilities and stockholders’ equity

Current liabilities:

Accounts payable

\(3,800,000

Notes payable

\)3,550,000

Total current liabilities

\(7,350,000

Long-term liabilities

\)5,620,000

Total liabilities

\(12,970,000

Stockholder’s equity:

Common stock (1,800,000 shares at \)1 par)

\(1,800,000

Capital in excess of par

\)6,300,000

Retained earnings

\(7,580,000

Total stockholder’s equity

\)15,680,000

Total liabilities and stockholder’s equity

$28,650,000

d. Now assume that, of the initial 800,000 share distribution, 400,000 belong to current stockholders and 400,000 are new shares, and the latter will be added to the 1,800,000 shares currently outstanding. What will earnings per share be immediately after the public offering? What will the initial market price of the stock be? Assume a price-earnings ratio of 12, and use earnings per share after the distribution in the calculation.

Midland Corporation has a net income of \(19 million and 4 million shares outstanding. Its common stock is currently selling for \)48 per share. Midland plans to sell common stock to set up a major new production facility with a net cost of \(21,120,000. The production facility will not produce a profit for one year, and then it is expected to earn a 13 percent return on the investment. Stanley Morgan and Co., an investment banking firm, plans to sell the issue to the public for \)44 per share with a spread of 4 percent.

c. What are the earnings per share (EPS) and the price-earnings ratio before the issue (based on a stock price of $48)? What will be the price per share immediately after the sale of stock if the P/E stays constant?

Walton and Company is the managing investment banker for a major new underwriting. The price of the stock to the investment banker is \(23 per share. Other syndicate members may buy the stock for \)24.25. The price to the selected dealers group is \(24.80, with a price to brokers of \)25.20. Finally, the price to the public is $29.50.

  1. If Walton and Company sells its shares to the dealer group, what will the percentage return be?
  2. If Walton and Company performs the dealer’s function also and sells to brokers, what will the percentage return be?
  3. If Walton and Company fully integrates its operation and sells directly to the public, what will its percentage return be?

Question: The Bowman Corporation has a \(18 million bond obligation outstanding, which it is considering refunding. Though the bonds were initially issued at 10 percent, the interest rates on similar issues have declined to 8.5 percent. The bonds were originally issued for 20 years and have 10 years remaining. The new issue would be for 10 years. There is a 9 percent call premium on the old issue. The underwriting cost on the new \)18,000,000 issue is \(530,000, and the underwriting cost on the old issue was \)380,000. The company is in a 35 percent tax bracket, and it will use an 8 percent discount rate (rounded after-tax cost of debt) to analyze the refunding decision.

d. Should the old issue be refunded with new debt?

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