Question

Wayne, Inc., wishes to expand its facilities. The company currently has 5 million shares outstanding and no debt. The stock sells for $40 per share, but the book value per share is $10. Net income is currently $4 million. The new facility will cost $50 million, and it will increase net income by $820,000. Assume a constant price-earnings ratio.
a-1. Calculate the new book value per share. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
a-2. Calculate the new EPS. (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.)
a-3. Calculate the new stock price. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
a-4. Calculate the new market-to-book ratio. (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.)
b. What would the new net income for the company have to be for the stock price to remain unchanged? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar amount, e.g., 1,234,567.)

Answer 1

Answer:

a-1. Calculate the new book value per share.

current book value = stocks outstanding x book value = 5,000,000 x $10 = $50,000,000

new book value = $50,000,000 + $50,000,000 = $100,000,000

new stocks issued = $50,000,000 / $40 = 1,250,000

total stocks outstanding = 5,000,000 + 1,250,000 = 6,250,000

new book value per stock = $100,000,000 / 6,250,000 = $16

a-2. Calculate the new EPS.

old EPS = $4,000,000 / 5,000,000 = $0.80 per stock

new EPS = $4,850,000 / 6,250,000 = $0.776 per stock

a-3. Calculate the new stock price.

price to earnings ratio = $40 / $0.80 = 50

new stock price:

50 = new stock price / $0.776

new stock price = 50 x $0.776 = $38.80

a-4. Calculate the new market-to-book ratio.

market to book ratio = market capitalization / book value = $242,500,000 / $100,000,000 = 2.425

b. What would the new net income for the company have to be for the stock price to remain unchanged?

0.8 = net income / 6,250,000

net income = 6,250,000 x 0.8 = $5,000,000