The Hifalutin Co. has perpetual EBIT of $3,000. It has no debt in its capital structure, and its cost of equity is 15%. The corporate tax rate is 40%. There are 300 shares outstanding. Hifalutin has announced that it will borrow $3,750 in perpetual debt at 8% and use the proceeds to buy up stock. How many shares will be purchased

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Answer:

The right answer is "56 shares".

Explanation:

According to the question,

Earning per share is:

= [tex]\frac{3000}{300}[/tex]

= $[tex]10[/tex]

PE ratio will be:

= [tex]\frac{1}{ke}[/tex]

= [tex]\frac{1}{15}[/tex]

= [tex]6.67[/tex]

Market price at every share will be:

= [tex]PE \ ratio\times EPS[/tex]

= [tex]6.67\times 10[/tex]

= [tex]66.7 \ Per \ share[/tex] ($)

Now,

The number of purchased shares will be:

= [tex]\frac{borrow}{market \ price \ per \ share}[/tex]

= [tex]\frac{3750}{66.7}[/tex]

= [tex]56.22[/tex]

i.e.,

= [tex]56 \ shares[/tex]