Gulf Shores Inn is comparing two separate capital structures. The first structure consists of 300,000 shares of stock and no debt. The second structure consists of 252,000 shares of stock and $1.78 million of debt. What is the price per share of equity

The price per share of equity is $37.083

Explanation:

The first capital structure is purely equity based and Guld Shores will sell 300000 shares at price x to raise the needed capital.

The second structure is a mixed or leveraged structure where both debt and equity components are involved. The capital that needds to be raised remains constant.

Gulf has to give up 300000 - 252000 = 48000 shares and raise 1.78 million dollars from debt. We assumed that the amount that Gulf will raise is the ame from both th structures. Then 48000 shares at price x are equal to $1.78 million debt.

So, Price per share of equity is,

1,780,000 = 48000x

1780000 / 48000 = x

x or price per share = $37.083

you have to put the parentheses like this:

in fact, you have to perform the operation inside parentheses first, and then proceed in order: