The FI Corporation's dividends per share are expected to grow indefinitely by 6% per year. a. If this year's year-end dividend is $6.60 and the market capitalization rate is 10% per year, what must the current stock price be according to the DDM? Current stock price $ 165 b. If the expected earnings per share are $13.20, what is the implied value of the ROE on future investment opportunities? (Round your answer to 2 decimal places.)

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Chapter1: Investments: Background And Issues
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### The FI Corporation's Dividend Analysis

FI Corporation's dividends per share are anticipated to grow indefinitely at a rate of 6% per year. Below, we address several key financial questions related to this expected growth.

#### a. Determining the Current Stock Price According to the Dividend Discount Model (DDM)
If this year’s year-end dividend is $6.60 and the market capitalization rate is 10% per year, what must the current stock price be according to the DDM?
- **Current Stock Price: $165**

#### b. Calculating the Implied Value of the ROE on Future Investment Opportunities
If the expected earnings per share are $13.20, what is the implied value of the Return on Equity (ROE) on future investment opportunities? (Round your answer to 2 decimal places.)
- **Value of ROE: 50.00%**

#### c. Market Value per Share for Growth Opportunities
How much is the market paying per share for growth opportunities (i.e., for an ROE on future investments that exceeds the market capitalization rate)? (Round your answer to 2 decimal places.)
- **Amount: $0.40 per share**

### Interpretation of Results:

- **Current Stock Price Calculation**:
  The stock price has been determined using the Dividend Discount Model (DDM), which factors in the yearly dividend and the expected growth rate versus the market capitalization rate.

- **Return on Equity (ROE)**:
  The ROE value signifies the efficiency at which FI Corporation is generating profit from shareholders' equity. A 50.00% ROE indicates strong profitability on future investments.

- **Growth Opportunities Value**:
  A growth opportunity value of $0.40 per share reflects the amount the market is willing to pay for the company's potential to grow beyond the expected market rate.

These calculations provide insights into the financial health and future potential of FI Corporation, crucial for investors making informed decisions.
Transcribed Image Text:### The FI Corporation's Dividend Analysis FI Corporation's dividends per share are anticipated to grow indefinitely at a rate of 6% per year. Below, we address several key financial questions related to this expected growth. #### a. Determining the Current Stock Price According to the Dividend Discount Model (DDM) If this year’s year-end dividend is $6.60 and the market capitalization rate is 10% per year, what must the current stock price be according to the DDM? - **Current Stock Price: $165** #### b. Calculating the Implied Value of the ROE on Future Investment Opportunities If the expected earnings per share are $13.20, what is the implied value of the Return on Equity (ROE) on future investment opportunities? (Round your answer to 2 decimal places.) - **Value of ROE: 50.00%** #### c. Market Value per Share for Growth Opportunities How much is the market paying per share for growth opportunities (i.e., for an ROE on future investments that exceeds the market capitalization rate)? (Round your answer to 2 decimal places.) - **Amount: $0.40 per share** ### Interpretation of Results: - **Current Stock Price Calculation**: The stock price has been determined using the Dividend Discount Model (DDM), which factors in the yearly dividend and the expected growth rate versus the market capitalization rate. - **Return on Equity (ROE)**: The ROE value signifies the efficiency at which FI Corporation is generating profit from shareholders' equity. A 50.00% ROE indicates strong profitability on future investments. - **Growth Opportunities Value**: A growth opportunity value of $0.40 per share reflects the amount the market is willing to pay for the company's potential to grow beyond the expected market rate. These calculations provide insights into the financial health and future potential of FI Corporation, crucial for investors making informed decisions.
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