The Gable Inn is an all-equity firm with 16,000 shares outstanding at a value per share of $14.50. The firm is issuing $50,000 of debt and using the proceeds to reduce the number of outstanding shares. How many shares of stock will be outstanding once the debt is issued

12,552 shares

Explanation:

Data provided:

Initial outstanding shares of the firm = 16,000 shares

Value of each share = $14.50

Debt issued = $50,000

Now,

the number of shares used for issuing for $50,000 debt

= Debt issued / value of each share

on substituting the respective values, we have

the number of shares used for issuing for $50,000 debt

= $50,000 / $14.50

= 3448.27 ≈ 3448 shares

Now,

The shares of stock that are outstanding once the debt is issued =

= Initial outstanding shares - shares used for issuing for $50,000 debt

= 16,000 - 3448

= 12,552 shares