Suppose you own 50,000 shares of common stock in a firm with 2.5 million total shares outstanding. The firm announces a plan to sell an additional 1 million shares through a rights offering. The market value of the stock is $ 35 before the rights offering and the new shares are being offered to existing shareholders at a $ 5 discount. a. If you exercise your preemptive rights, how many of the new shares can you purchase? b. What is the market value of the firm after the rights offering? c. What is your total investment in the firm after the rights offering? How is your investment split between original shares and new shares? d. If you decide not to exercise your preemptive rights rather sell your rights, what is your investment in the firm after the rights offering? How is this split between old shares and rights?

20,000 ; $117.5 million; $2,350,000; $1678500; $1,078,500

Explanation:

Given the following :

Number of common stock shares owned = 50,000

outstanding shares = 2.5 million

Additional shares = 1 million

Market value of stock before rights offering = $35

Net stock price for existing shareholders ($5 discount) = $(35 - 5) = $30

A.) If you exercise your preemptive rights, how many of the new shares can you purchase?

Number of stocks / (outstanding shares ÷ additional shares)

[(50,000) ÷ (2.5 ÷1)] = 50,000/2.5 = 20,000

B.) b.What is the market value of the firm after the rights offering?

(Outstanding shares * market price) + ( additional shares * discount price)

(2.5million * $35) + (1 million * $30)

$87.5 + $30 = $117.5 million

C.) What is your total investment in the firm after the rights offering?

(stock shares held before offering * market price) + ( new shares that can be purchased * discount price)

(50,000 * $35) + (20,000 * $30)

1750000 + $600,000 = $2,350,000

D.)

Number of common stock shares *new market value after Issuance

New Market value after Issuance :

Market value of firm after offering / (outstanding + additional shares)

$117,500,000 / (2.5+1)million

$117,500,000 / 3,500,000

= $33.57

50,000 * $33.57 = $1678500

11)

Revenue from right sale :

Number of right shares * discount price

20,000 * $30 = $600,000

Value of proceed :

$1678500 - $600,000 = $1,078,500

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