The investment banking firm of Einstein & Co. will use a dividend valuation model to appraise the shares of the Modern Physics Corporation.

Dividends (D_1) at the end of the current year will be $1.80. The growth rate (g) is 8 percent and the discount rate (K_e) is 12 percent.

a. What should be the price of the stock to the public? (Do not round intermediate calculations and round your answer to 2 decimal places.)

b. If there is a 4 percent total underwriting spread on the stock, how much will the issuing corporation receive? (Do not round intermediate calculations and round your answer to 2 decimal places.)

c. If the issuing corporation requires a net price of $43.50 (proceeds to the corporation) and there is a 4 percent underwriting spread, what should be the price of the stock to the public? (Do not round intermediate calculations and round your answer to 2 decimal places.)