Veritox at January 1, 2020, had 450,000 common shares outstanding (no preferred shares issued). During 2020, the company has issued 60,000 shares on May 1, purchased 36,000 treasury shares on September 1, and issued 42,000 more shares on November 1. Find the weighted average of common shares outstanding for 2020.

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### Weighted Average of Common Shares Outstanding - Veritox Case Study

On January 1, 2020, Veritox had 450,000 common shares outstanding, with no preferred shares issued. Throughout the year 2020, the company engaged in several transactions affecting the number of outstanding shares:

- **May 1, 2020**: Veritox issued 60,000 additional shares.
- **September 1, 2020**: The company purchased 36,000 treasury shares.
- **November 1, 2020**: Veritox issued another 42,000 shares.

**Objective:**
Determine the weighted average of common shares outstanding for the year 2020.

The weighted average of shares outstanding is calculated by considering both the timing and number of shares issued throughout the year. This process involves multiplying the number of shares outstanding by the portion of the year they were outstanding, and then summing these amounts.

**Steps to calculate the weighted average:**

1. **Issuance on May 1, 2020:**
   Veritox issued 60,000 shares, which were outstanding for 8 months (May - December).
   
   Weighted effect: 
   \[
   60,000 \times \frac{8}{12} = 60,000 \times 0.6667 = 40,002 \text{ shares}
   \]

2. **Purchase on September 1, 2020:**
   The company purchased 36,000 treasury shares, which were outstanding for 4 months (January - August).
   
   Weighted effect: 
   \[
   -36,000 \times \frac{4}{12} = -36,000 \times 0.3333 = -12,000 \text{ shares}
   \]

3. **Issuance on November 1, 2020:**
   Veritox issued 42,000 shares, which were outstanding for 2 months (November - December).
   
   Weighted effect: 
   \[
   42,000 \times \frac{2}{12} = 42,000 \times 0.1667 = 7,000 \text{ shares}
   \]

4. **Initial Shares:**
   Initial 450,000 shares were outstanding for the entire year.
   
   Weighted effect: 
   \[
   450,000 \text{ shares
Transcribed Image Text:### Weighted Average of Common Shares Outstanding - Veritox Case Study On January 1, 2020, Veritox had 450,000 common shares outstanding, with no preferred shares issued. Throughout the year 2020, the company engaged in several transactions affecting the number of outstanding shares: - **May 1, 2020**: Veritox issued 60,000 additional shares. - **September 1, 2020**: The company purchased 36,000 treasury shares. - **November 1, 2020**: Veritox issued another 42,000 shares. **Objective:** Determine the weighted average of common shares outstanding for the year 2020. The weighted average of shares outstanding is calculated by considering both the timing and number of shares issued throughout the year. This process involves multiplying the number of shares outstanding by the portion of the year they were outstanding, and then summing these amounts. **Steps to calculate the weighted average:** 1. **Issuance on May 1, 2020:** Veritox issued 60,000 shares, which were outstanding for 8 months (May - December). Weighted effect: \[ 60,000 \times \frac{8}{12} = 60,000 \times 0.6667 = 40,002 \text{ shares} \] 2. **Purchase on September 1, 2020:** The company purchased 36,000 treasury shares, which were outstanding for 4 months (January - August). Weighted effect: \[ -36,000 \times \frac{4}{12} = -36,000 \times 0.3333 = -12,000 \text{ shares} \] 3. **Issuance on November 1, 2020:** Veritox issued 42,000 shares, which were outstanding for 2 months (November - December). Weighted effect: \[ 42,000 \times \frac{2}{12} = 42,000 \times 0.1667 = 7,000 \text{ shares} \] 4. **Initial Shares:** Initial 450,000 shares were outstanding for the entire year. Weighted effect: \[ 450,000 \text{ shares
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