Question

Trueware Corporation is a start-up firm with a capital structure that includes 25 percent debt. Trueware has no preferred stock. The firm has two possible scenarios for its operations: Ruby or Emerald. The Ruby scenario has a 70 percent probability of occurring and the forecast earnings before interest and taxes (EBIT) in this scenario is $80,000. The Emerald scenario has a 30 percent chance of occurring and the EBIT is expected to be $32,000. Further, the firm's cost of debt is 10 percent. The firm has $500,000 in total assets and its marginal tax rate is 30 percent. The company has 22,000 shares of common stock outstanding. Calculate the difference in earnings per share (EPS) for the capital structure

Answer 1

Answer:

$1.53

Explanation:

Calculation to determine the difference in earnings per share (EPS) for the capital structure

Debt = 0.25 × Total assets = 0.25 × $500,000

Debt= $125,000

Equity = (1 − 0.25) × Total assets = 0.75 × $500,000

Equity = $375,000

Net income (NIRuby) = [EBIT - (Cost of debt × Total debt)] × (1 - Tax rate)

Net income (NIRuby) = [$80,000 - (0.10 × $125,000)] × (1 - 0.3)

Net income (NIRuby= $47,250

EPSRuby = Net income/Number of shares outstanding

EPSRuby = $47,250/22,000 shares

EPSRuby= $2.15 per share

Net income (NIEmerald) = [EBIT - (Cost of debt × Total debt)] × (1 - Tax rate)

Net income (NIEmerald) = [$32,000 - (0.10 × $125,000)] × (1 - 0.3)

Net income (NIEmerald) = $13,650

EPSEmerald = Net income/Number of shares outstanding

EPSEmerald = $13,650/22,000 shares

EPSEmerald= $0.62 per share

Difference between the earnings per share = $2.15 - $0.62

Difference between the earnings per share= $1.53

Therefore the difference in earnings per share (EPS) for the capital structure is $1.53