Worked example of an outstanding shares calculation with sample numbers

The Following Data Were Reported by a Corporation: How to Solve It

To calculate outstanding shares, subtract treasury shares from issued shares. Authorized shares are not included in this calculation.

Outstanding Shares = Issued Shares − Treasury Shares

The key is understanding what each type of share represents and knowing which figures actually belong in the formula.

Why This Is the Answer

This type of accounting question typically gives you three figures:

  • Authorized shares
  • Issued shares
  • Treasury shares

You may then be asked to determine the company’s outstanding shares.

Only issued shares and treasury shares are needed for the calculation.

Authorized shares tell you the maximum number of shares the corporation is legally permitted to issue. They do not tell you how many shares are currently held by investors.

The formula is simple:

Outstanding Shares = Issued Shares − Treasury Shares

If a company has issued 24,000 shares and holds 6,000 of them as treasury shares, only 18,000 shares remain outstanding.

What Each Term Means

Understanding the terminology makes these questions much easier to solve.

Authorized shares: The maximum number of shares a corporation is legally allowed to issue under its corporate charter. A company does not necessarily issue all of its authorized shares.

Issued shares: Shares that the company has actually issued to shareholders. The number of issued shares cannot exceed the number of authorized shares.

Treasury shares: Shares that the company previously issued and later repurchased. While the company holds these shares, they are not considered outstanding.

Outstanding shares: Issued shares that are currently held by investors rather than the company itself.

A simple way to visualize the relationship is:

Authorized → Issued → Treasury shares removed → Outstanding

Authorized shares set the limit. Issued shares represent what the company has actually issued. Treasury shares are shares the company has bought back. What remains is the number of outstanding shares.

Worked Example

Suppose a corporation reports:

  • Authorized shares: 30,000
  • Issued shares: 24,000
  • Treasury shares: 6,000

Now apply the formula:

Outstanding Shares = 24,000 − 6,000

Outstanding Shares = 18,000

Therefore, the corporation has 18,000 outstanding shares.

Notice that the 30,000 authorized shares are not used in the calculation. That number simply tells you the maximum number of shares the company is permitted to issue.

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Common Mistakes

Using authorized shares instead of issued shares

This is one of the easiest mistakes to make. Authorized shares represent the company’s legal limit, not the number of shares currently issued.

Adding treasury shares

Treasury shares must be subtracted, not added. These shares were previously issued but were later repurchased by the company.

Confusing issued shares with outstanding shares

Issued and outstanding shares can be different. The difference occurs when a company holds treasury shares.

If there are no treasury shares, issued shares and outstanding shares can be equal.

Ignoring treasury shares

If treasury shares are provided in the question, they are part of the calculation. Start with issued shares and subtract treasury shares.

Quick Recap

TermWhat It MeansUsed in the Formula?
Authorized sharesMaximum shares the company can legally issueNo
Issued sharesShares the company has actually issuedYes
Treasury sharesIssued shares repurchased and held by the companyYes
Outstanding sharesIssued shares currently held by investorsFinal answer

Formula: Outstanding Shares = Issued Shares − Treasury Shares

FAQ

What’s the formula for outstanding shares?

Outstanding shares are calculated by subtracting treasury shares from issued shares.

Why aren’t authorized shares used?

Authorized shares represent the maximum number of shares a company is legally permitted to issue. They are not necessarily issued to investors.

Can issued shares and outstanding shares be the same?

Yes. If a company has no treasury shares, its issued and outstanding shares can be the same.

Why are treasury shares not considered outstanding?

Treasury shares are shares that the company has repurchased and currently holds itself. They are therefore excluded from outstanding shares while held by the company.

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