question archive Question-7 (10 Points) OF Corporation (an all-equity financed firm) is contemplating about changing its capital structure

Question-7 (10 Points) OF Corporation (an all-equity financed firm) is contemplating about changing its capital structure

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Question-7 (10 Points) OF Corporation (an all-equity financed firm) is contemplating about changing its capital structure. It plans to have 35% debt in the proposed capital structure. Currently, there are 7600 shares outstanding and the price per share is $55. EBIT is expected to remain at $36,000 per year forever. The interest rate on new debt is 8%, and there are no taxes. Which capital structure should Mr. ABC, a shareholder of the firm, prefer? He owns 100 shares of OF Corporation. Assume that dividend payout ratio is 100%. Question-8 (10 Points) The relationship between capital structure and firm value can be represented as follows: The X-axis represents the proportion of debt in capital structure and y-axis represents firm value. Briefly explain why the impact of capital structure on firm value is negative initially, then it turns positive and finally it becomes negative again.

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OF corporation is an all equity financed firm right now.

Total capital of firm = number of shares outstanding * price per share = 7600 shares * $ 55 per share = $ 418,000.

EBIT of firm = $36,000

Dividend payout ratio is 100% meaning all the earnings are distributed as dividends to shareholders.

Therefore,

EPS (earning per share) = total earnings available to shareholders / number of shares outstanding

EPS = 36000 / 7600 = $4.7368 per share.  

So,

Earnings of Mr. ABC when firm is all equity financed firm = shares owned by Mr. ABC * EPS

= 100 * $4.7368 per share.

= $473.68

OF corporation is considering to include 35% debt in capital. [Here, we are assuming that debt capital borrowed will be used buy back shares, thus leaving total capital of firm same.]

Amount of debt in capital = debt percentage * total capital = 0.35 * 418,000 = $146,300

Interest payment on debt = debt capital * interest rate = 146,300 * 0.08 = $11,704

Equity capital remaining in structure = total capital - debt capital = 418,000 - 146,300 = $ 271,700

Number of shares outstanding now = equity capital remaining / price per share = 271,700 / 55 = 4940 shares.

Therefore,

EPS = (EBIT - interest) / number of shares outstanding = (36000 - 11704) / 4940 = $ 4.9182 per share

and,

Earnings of Mr. ABC with debt capital in structure becomes = 100 * $ 4.9182 = $491.82 (which is greater than earlier)

So, Mr. ABC is better off with a firm that has debt capital in structure. Because then Mr. ABC income is increased by $ 18.14 ($491.82 - $473.68).