In: Finance
The founder of Alchemy Products Inc. discovered a way to turn gold into lead and patented this new technology. He then formed a corporation and invested $1,500,000 in setting up a production plant. He believes that he could sell his patent for $72 million.
a. What is the book value of the firm? (Enter your answer in dollars not in millions.)
b. What is the market value of the firm? (Enter your answer in dollars not in millions.)
c. If there are two million shares of stock in the new corporation, what would be the book value per share? (Round your answer to 2 decimal places.)
d. If there are two million shares of stock in the new corporation, what would be the price per share? (Round your answer to 2 decimal places.)
Solution :
a. The Book value of the Firm is equal to the Investment made in setting up a production plant.
As per the information given in the question we have
Investment made in setting up a production plant = $ 1,500,000
Thus the Book value of the firm = $ 1,500,000
b. The market value of the Firm is equal to the total of Investment made in setting up a production plant and the estimated selling price of the Patent in the market
= Investment made in setting up a production plant + Estimated selling price of the Patent in the market
As per the information given in the question we have
Investment made in setting up a production plant = $ 1,500,000
Estimated selling price of the Patent in the market = $ 72,000,000
Thus the market value of the firm = $ 1,500,000 + $ 72,000,000 = $ 73,500,000
c. The formula for calculating the Book value per share = Book value of the firm / No. of shares of stock of the corporation
As per the information available we have
Book value of the firm = $ 1,500,000 ; No. of shares of stock of the corporation = 2,000,000
Thus the Book value per share = $ 1,500,000 / 2,000,000 = $ 0.75
d. The formula for calculating the Price per share = Market value of the firm / No. of shares of stock of the corporation
As per the information available we have
Market value of the firm = $ 73,500,000 ; No. of shares of stock of the corporation = 2,000,000
Thus the Price per share = $ 73,500,000 / 2,000,000 = $ 36.75