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At December 31, 2018, the financial statements of Hollingsworth Industries included the following: Net income for 2018 $ 590 million Bonds payable, 10%, convertible into 47 million shares of common stock $ 250 million Common stock: Shares outstanding on January 1 450 million Treasury shares purchased for cash on September 1 48 million Additional data: The bonds payable were issued at par in 2016. The tax rate for 2018 was 40%. Required: Compute basic and diluted EPS for the year ended December 31, 2018. (Enter your answers in millions (i.e., 10,000,000 should be entered as 10).)

Answer :

Answer:

Basic EPS = $1.359 million

Diluted EPS = $1.195 million

Explanation:

For Basic EPS we need to calculate the number of shares outstanding

Shares as on Jan 1 = 450 million

Treasury shares on Sep 1 =  48 million × (4 months ÷ 12 months)

                                           = 16 million

Number of shares o/s =  Shares as on Jan 1 - Treasury shares on Sep 1

                                    = 450 million - 16 million

                                    = 434 million

Basic EPS = Net Income ÷ Number of shares o/s

                 = $590 million ÷ 434 million

                 = $1.359 million

For Diluted EPS,

Interest savings = 10% × $ 250 million

                           = $25 million

Adjusted Net Income =  Net Income + After tax interest savings

                               = $590 million +  [25 millions - 40(25million)]

                               = $590 million - $15 million

                               = $575 million

and weighted number of shares will include the bonds, that are convertible

Outstanding shares as computed = 434 million

Bond conversion Shares = 47 million

Total shares outstanding =  Outstanding shares as computed + Bond conversion Shares

                                          = 434 million  + 47 million

                                          = 481 million

Diluted EPS = Adjusted Net income ÷ Total shares outstanding

                    = $575 million ÷ 481 million

                    = $1.195 million

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