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
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
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question

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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