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Exercise 16-25 Warning Don\'t show me this message again for the assignment Ok C

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Exercise 16-25

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Exercise 16-25

On January 1, 2017, Cheyenne Company issued 10-year, $1,880,000 face value, 6% bonds, at par. Each $1,000 bond is convertible into 14 shares of Cheyenne common stock. Cheyenne’s net income in 2017 was $294,000, and its tax rate was 40%. The company had 110,000 shares of common stock outstanding throughout 2017. None of the bonds were converted in 2017.

(a) Compute diluted earnings per share for 2017. (Round answer to 2 decimal places, e.g. $2.55.)
Diluted earnings per share $


(b) Compute diluted earnings per share for 2017, assuming the same facts as above, except that $1,100,000 of 6% convertible preferred stock was issued instead of the bonds. Each $100 preferred share is convertible into 5 shares of Cheyenne common stock. (Round answer to 2 decimal places, e.g. $2.55.)
Diluted earnings per share $

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Explanation / Answer

(A) Earnings of Cheyenne Company for year 2017 = $ 294000 (EAT)

No.of convertable bonds = total vale of bond / face value

= $1880000/1000

= $1880 bonds

no of shares per convertable bond = 40 shares

total no of shares are issuble for convertable bonds = 40 * 1880 =75200

no of common stocks = 110000

so,

BASIC EPS is = TOTAL EARNING AVAILABLE TO COMON STOCK HOLDERS /NO OF COMMON STOCKS

= 294000/110000

=2.67

DILUTED EPS = TOTAL EARNINGS AVAILBLE FOR COMMON AND POTENTIAL EQUITY SHARES NO OF COMMON STOCK AFTER CONVETION

= 361680/185200  

=1.95 $

Earnings(EAT) = $294000(60%)

TAX RATE = 40%

INTERST AFTER TAX = $67680 (1880000*6%*(1-0.4))

EARNINS AVAILABLE TO COMMON AND POTENTIAL EQUITY SHARE HOLDERS

= $294000+$67680

= $361680

NO OF EQUITY SHARES FOR DILUTED EPS = 110000+ 75200 = 185200

(B)

VALUE OF PREFERNTIAL CONVERTABLE STOCK = $1100000

NO OF CONVERTBLE PRE FERENTIAL SHARES = $ 1100000/100  

= 11000

NO OF SHARES PER PREFENTIAL SHARES = 5

NO OF CONVERTBLE COMMON STOCK ARE ISSUED = 11000*5 =55000

TOTAL NO OF SHARES FOR DILUTED EPS = 110000+55000 = 165000 COMMON STOCK

PREFENTIAL DIVIDEND = $ 66000 (1100000*6%)

TOTAL EARNINGS FOR DILUTED EPS =$ 294000 + $66000.

= $360000

DILUTED EPS = 360000/165000  

= 2.18

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