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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×Conversion ratio=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

Assume Sybase Software is thinking about three different size offerings for issuance of additional shares.

Size of Offer Public Price Net to Corporation

a. 1.1 million................. \(30 \)27.50

b. 7.0 million…………… \(30 \)28.44

c. 28.0 million………… \(30 \)29.15

What is the percentage underwriting spread for each size offer?

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.

b. Calculate the present value of total inflows.

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

a. Assume that 800,000 new corporate shares will be issued to the general public. What will earnings per share be immediately after the public offering? (Round to two places to the right of the decimal point.) Based on the price-earnings ratio of 12, what will the initial price of the stock be? Use earnings per share after the distribution in the calculation.

The trustee in the bankruptcy settlement for Titanic Boat Co. lists the following book values and liquidation values for the assets of the corporation. Liabilities and stockholders’ claims are also shown.

Assets

Book value

Liquidation value

Accounts receivables

\(1,400,000

\)1,200,000

Inventory

\(1,800,000

\)900,000

Machinery and equipment

\(1,100,000

\)600,000

Building and plant

\(4,200,000

\)2,500,000

Total assets

\(8,500,000

\)5,200,000

Liabilities and stockholder’s claims

Liabilities

Accounts payable

\(2,800,000

First lien, secured by machinery and equipment

\)900,000

Senior unsecured debt

\(2,200,000

Subordinated debenture

\)1,700,000

Total liabilities

\(7,600,000

Stockholder’s claims

Preferred stock

\)250,000

Common stock

\(650,000

Total stockholder’s claims

\)900,000

Total liabilities and stockholder’s claims

\(8,500,000

c. Assuming the administrative costs of bankruptcy, workers’ allowable wages, and unpaid taxes add up to \)400,000, what is the total remaining asset value available to cover secured and unsecured claims?

The Presley Corporation is about to go public. It currently has after-tax earnings of \(7,200,000, and 2,100,000 shares are owned by the present stockholders (the Presley family). The new public issue will represent 800,000 new shares. The new shares will be priced to the public at \)25 per share, with a 5 percent spread on the offering price. There will also be $260,000 in out-of-pocket costs to the corporation.

b. Compute the earnings per share immediately before the stock issue.

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