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A Kinston firm has a market value equal to its book value

Economics Apr 02, 2021

A Kinston firm has a market value equal to its book value. Currently, the firm has excess cash of $800 and other assets of $4,200. Equity is worth $5,000. The firm has 200 shares of stock outstanding and net income of $350. What will the new earnings per share be if the firm uses all its excess cash to complete a stock repurchase? 
A. $1.51 B. $1.75 C. $1.96 D. $2.00 
E. $2.08 
 

Expert Solution

Answer

E.

Explanation

Computation of New Earnings per Share if Firm uses all its excess cash to complete a stock repurchase:

Before stock repurchase:

Value of Equity = $5,000
Number of shares outstanding = 200

Price per share = Value of Equity / Number of shares outstanding
Price per share = $5,000 / 200
Price per share = $25

Excess Cash = $800

Number of shares repurchased = Excess Cash / Price per share
Number of shares repurchased = $800 / $25
Number of shares repurchased = 32 shares

 

After repurchase:

Number of shares outstanding = 200 - 32
Number of shares outstanding = 168

Net Income = $350

EPS = Net Income / Number of shares outstanding
EPS = $350 / 168
EPS = $2.08

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