Question

In: Finance

There are two firms in the same business: New Co and Old Co. Both are in...

There are two firms in the same business: New Co and Old Co. Both are in the same risk class and each has an EBIT (Earnings Before Interest & Taxes) of $10 million. New Co has no debt and Old Co has $4 million of debt. The New Co cost of equity is 9% and the Old Co cost of debt is 5%. Assume a tax rate of 20%. Calculate the: (a) total value of each firm and (b) the break-down of value or capital structure in terms of its components (debt & equity).

Solutions

Expert Solution

a) Value of New Co =EBIT*(1-Tax Rate)/Cost of Equity =10000000*(1-20%)/9% =88888888.89
Value of Old Co =Value of Unlevered Firm + Debt*Tax Rate =88888888.89+4000000*20% =89688888.89

b) Weight of Equity of New Co. =100%
Weight of debt of New Co. =0%

Weight of Debt of Old Co =4000000/89688888.89=4.46%
Weight of Equity of Old Co =1-4.46% =95.54%


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