Question

Tiger Golf Supplies has $25 million in earnings with 7 million shares outstanding. Its investment banker thinks the stock should trade at a P/E ratio of 31. Assume there is an underwriting spread of 7.8 percent. What should the price to the public be?

Short answer

The price to the public should be $110.67.

Step-by-step solution

Computation of earnings per share

$$\begin{gathered} \mathbf{\text{Earnings per share}}\mathbf{=}\frac{\mathbf{\text{Earnings}}}{\mathbf{\text{Outstanding stock}}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{25}\mathbf{,}\mathbf{000}\mathbf{,}\mathbf{000}}{\mathbf{7}\mathbf{,}\mathbf{000}\mathbf{,}\mathbf{000}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{3}\mathbf{.}\mathbf{57} \end{gathered}$$

Computation of price to the public

$$\begin{gathered} \mathbf{\text{Stock price}}\mathbf{=}\mathbf{\text{P/E ratio}}\mathbf{\times }\mathit{E}\mathit{P}\mathit{S} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{31}\mathbf{-}\mathbf{\$}\mathbf{3}\mathbf{.}\mathbf{57} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{110}\mathbf{.}\mathbf{61} \end{gathered}$$

Hence, the price offered to the public should be$\mathbf{\$}\mathbf{110}\mathbf{.}\mathbf{61}$