Answer:
Basic EPS 3.95
Basic EPS Dilutive 3.337
Explanation:
This section outlines the calculations for both basic and diluted EPS for the year in question.
Initially, we need to ascertain the convertible securities that are outstanding within the range of 1 to 5.
1. Numerator impact=6,000
(6%*100,000)
Denominator impact=15,000
[(100,000/10)*1.5]
ME=6000/15,000=.402.
2. Premium=5,000
[(105%-100%)*100,000]
Annual Amortization= 500
5,000/10 years
Annual Payment= 8,000
(8%*100,000)
Numerator impact= 8,000-500
= 7,500 * (100%-34%)= 4,950
Denominator impact= 100,000/1,000
= 100*90 per share= 9000
ME= 4,950/9,000
ME=.553.13 percent
3. Discount=900
[(100%-97%)*30,000]
Annual Amortization=180
(900/5years)
Annual Payment=3,900
Numerator impact= 3,900+180
=4,080*(100%-34%)
= 2,692.8
Denominator impact= 900
ME=2693/900
ME= 2.994.7 percent
4. Discount=3,000
(60,000/20)
Annual Amortization=375
(3,000/ 8years )
Annual Payment= 4,200
Numerator impact= 4,200+375
Numerator impact= 4,575*(100%-34%)
= 3,019.5
Denominator impact= 1,200
ME= 3020/1200= 2.525
5. Numerator impact= 55,000*(100%-34%)
= 36,300
(11%*500,000=55,000)
Denominator impact= 10,000
ME=36300/10000= 3.63
Next, the formulas for basic and diluted EPS are applied.
COMPUTATION OF BASIC EPS
Net income = 500,000 - (100,000*.06=6000)
Net income= 494,000
Average Outstanding=125,000
Using this equation:
Basic EPS=Net income/Average Outstanding
By substituting the values:
Basic EPS:494,000/125,000
Basic EPS=3.95
Consequently, the Basic EPS equates to 3.95
COMPUTATION FOR DILUTIVE BASIC EPS
Dilutive=494,000+6,000+4,950+2,693+3,020/125,000+2,000+15,000+9,000+900+1200
Basic EPS Dilutive=510,663/153,000
Basic EPS Dilutive=3.337
Thus, the Basic EPS Dilutive is calculated to be 3.337