Question

In: Finance

Consider a firm with an EBIT of $10,900,000. The firm finances its assets with $50,800,000 debt...

Consider a firm with an EBIT of $10,900,000. The firm finances its assets with $50,800,000 debt (costing 6.9 percent) and 10,400,000 shares of stock selling at $10.00 per share. The firm is considering increasing its debt by $25,400,000, using the proceeds to buy back shares of stock. The firm is in the 40 percent tax bracket. The change in capital structure will have no effect on the operations of the firm. Thus, EBIT will remain at $10,900,000.

Calculate the EPS before and after the change in capital structure and indicate changes in EPS.

Solutions

Expert Solution

1. Computation of Number of shares purchased:

Value of company after repurchase = Current value of equity + Total Value of debt * Tax rate

Value of company after repurchase = 10400000 * 10 + (50800000 + 25400000) * 40%

Value of company after repurchase = 104000000 + 30480000

Value of company after repurchase = $134480000

Value of equity after repurchase = Value of company after repurchase - value of debt

Value of equity after repurchase = 134480000 - 76200000

Value of equity after repurchase = 58280000

Share price after repurchase = Value of equity / Shares O/s before repurchase = 58280000 / 10400000 = $5.604

Number of Shares repurchased = amount raised / share price = 25400000 / 5.604

Number of Shares repurchased = 4532601.24 shares

Shares O/s after repurchase = Current shares - shares repurchased

Shares O/s after repurchase = 10400000 - 4532601.24

Shares O/s after repurchase = 5867398.76 Shares

2. Change in EPS

Due to introduction of additional debt EPS increased from $0.43 to 0.58


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