Magenta Corporation wants to raise $50.6 million in a seasoned equity offering, net of all fees. Magenta stock currently sells for $12 per share. The underwriters will require a spread of $0.6 per share, and indicate that the issue must be underpriced by 5 percent. In addition to the underwriter's fee, the firm will incur $1,600,000 in legal, accounting, and other costs. How many shares must Magenta sell? (Enter your answer in millions rounded to 3 decimal places.) Number of shares million

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter15: Dividend Policy
Section: Chapter Questions
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### Financial Problem: Calculating Required Shares for Equity Offering

Magenta Corporation aims to raise $50.6 million through a seasoned equity offering, net of all fees. Currently, Magenta's stock price is $12 per share. The underwriters stipulate a $0.60 spread per share and require the issue to be underpriced by 5 percent. Additionally, the company will incur $1,600,000 in legal, accounting, and other costs. 

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**Problem Statement**

**Objective:** Determine how many shares Magenta must sell to meet their goal.

**Given data:**
- Target amount to raise: $50.6 million (net)
- Current stock price: $12 per share
- Underwriter's spread: $0.60 per share
- Underpricing requirement: 5%
- Additional costs: $1,600,000

**Instructions:** Enter your answer in millions rounded to three decimal places.

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**Input Prompt**

- **Number of shares** (Input box) `million`
Transcribed Image Text:### Financial Problem: Calculating Required Shares for Equity Offering Magenta Corporation aims to raise $50.6 million through a seasoned equity offering, net of all fees. Currently, Magenta's stock price is $12 per share. The underwriters stipulate a $0.60 spread per share and require the issue to be underpriced by 5 percent. Additionally, the company will incur $1,600,000 in legal, accounting, and other costs. --- **Problem Statement** **Objective:** Determine how many shares Magenta must sell to meet their goal. **Given data:** - Target amount to raise: $50.6 million (net) - Current stock price: $12 per share - Underwriter's spread: $0.60 per share - Underpricing requirement: 5% - Additional costs: $1,600,000 **Instructions:** Enter your answer in millions rounded to three decimal places. --- **Input Prompt** - **Number of shares** (Input box) `million`
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