Question

Nichols Corporation's value of operations is equal to $600 million after a recapitalization (the firm had no debt before the recap). It raised $150 million in new debt and used this to buy back stock. Nichols had no short-term investments before or after the recap. After the recap, wd = 25%. What is S (the value of equity after the recap)? Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Round your answer to the nearest whole number.

Answer 1

The answer is $750 millions

Step-by-step explanation:

After recapitalization, the Weight of Debts of Nichols Corporation is 25%. Hence, its Weight of Equity Capital is: 100% - 25% = 75%.

The formula of Value of Operations as follows:

Value of Operations = Weight of Debts x Value of Debts + Weight of Equity Capital x Value of Equity Capital

Because Nichols Corporation's value of operations is equal to $600 million after recapitalization, we have the following equation with S as the value of equity after the recap:

600 = 25% x 150 + 75% x S

=> S = (600 - 25% x 150) / 75% = 750