Your company doesn\'t face any taxes and has $253 million in assets, currently f
ID: 2745394 • Letter: Y
Question
Your company doesn't face any taxes and has $253 million in assets, currently financed entirely with equity. Equity is worth $8.3 per share, and book value of equity is equal to market value of equity. Also, let's assume that the firm's expected values for EBIT depend upon which state of the economy occurs this year, with the possible values of EBIT and their associated probabilities as shown below:
The firm is considering switching to a 30-percent debt capital structure, and has determined that they would have to pay a 8 percent yield on perpetual debt in either event. What will be the level of expected EPS if they switch to the proposed capital structure? (Round your intermediate calculations and final answer to 2 decimal places except calculation of number of shares which should be rounded to nearest whole number.)
Explanation / Answer
All Amounts in $ million Original Equity Base = $ 253 million With a share value of $ 8.3 per share, the number of shares are $ 253 / $ 8.3 = 30.0 million shares Based on the given probabilities, the weighted EBIT of the Company works out to : State Pessimistic Optimistic Probability of State 0.35 0.65 Expect EBIT in State 13 53 Weighted EBIT 4.55 34.45 39 With a 30% debt base in the capital structure, the equity base reduces to 70% Since the share price remains unchanged at $ 8.3 per share, the number of shares will be $ 253 million X 70% / $ 8.3 per share = 21 million shares The debt value wll be 30% of $ 253 million = $ 75.9 million Yield on Debt = 8% of $ 75.9 million = 6.072 $ million Deducting this from the Weighted EBIT of $ 39 million, the revised EBIT works out to $ 39 - $ 6.072 = $ 32.928 million With the number of shares outstanding now pegged at 21 million ,the revised EPS works out to 1.57 $ per share
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