Question

Given the following financial structure for Company S for all of 2016:

Answer 1

Answer:

Explanation:

A.)

The Basic EPS can be determined by using the formula:

$\mathtt{Basic \ EPS = \dfrac{Net \ income \ attributabe \ to\ common \ stock \ holders }{\text{common stock outstanding throughout the year}} }$

$\text{Given Net income = \ 2,600,000}$

$\text{Net income available for common stock holders = }$$\text{ Net income given less dividend}$

$\text{ to preferred holders of stock}$

$\mathtt{= 2,600,000 - 100 \times 50000\times 6\%}$

$=\ 2,300,000$

$\text{Common stock} = 800,000$

∴

$\mathbf{Basic \ EPS = \dfrac{\ 2,300,000}{800,000} }$

$\mathbf{Basic \ EPS = \ 2.88 \ per \ common \ stock}$

B.)

The calculations for the numerator and denominator effect are:

$\text{Calculation of the effect on incremental EPS}$

Convertible on preferred stock  $\mathtt{=\dfrac{500,000 \times 100 \times 6\%}{50000\times 5}}$

$=1.20$

Convertible Bond $=\dfrac{500,000 \times 8\%\times 70\%}{\dfrac{500,000}{1000\times 20}}$

= 2.80

Stock options $= \dfrac{0}{100,000- (100,000\times \dfrac{60}{80})}$

= 0

Determination of the numerator & denominator effect for each convertible securities shown above are:

                            Numerator (N)   Denominator (D)  Dilution index = N/D

Net income          $2,600,000

Less: Preferred    $300000

Dividend

Common stock A

Net income          $2,300,000    800,000                      2.875

Add: Stock

Options (B)                  0                 25000

Total (C) = (A + B)  $2300000     825000                       2.788

Add: Convertible

Bonds (D)               428000          10000

Total (E) = (C+D)    $2328000      835000                       2.787

Add: Convertible

Preferred Stock (F) $300000     250000

Total (E) + (F)          $2628000    1085000                      2.422

C.)

Particulars                Dilutive Index       Rank (most dilutive is 1.)

Stock Option              2.788                              1

Convertible Bonds     2.787                              3

Preferred Stock          2.422                             2

D.)

From above, the convertibles are diluted EPS (DEPS)

$\text{ DEPS =Net income available common stockholders + net tax dividend on convertible securities}$÷ $\text{weighted average no. of common shares + effect of convertible stock + convertible stock options}$

$\text{DEPS (1{st} stage) for only common stock}= \dfrac{2300000}{800000} = \ 2.88}$

$\text{DEPS (2{st} stage)with \ stock \ options}= \dfrac{2300000+0}{800000+25000} = \ 2.788}$

$\text{DEPS (3{st} stage)with \ stock \ options \& preferred \ stock }= \dfrac{2300000+300000+0}{800000+250000+25000} = \ 2.42}$