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The next dividend payment by Im, Incorporated, will be \( \$ 2.70 \) per share. The dividends are anticipated to maintain a growth rate of 6.75 percent forever. Assume the stock currently sells for \( \$ 49.00 \) per share. a. What is the dividend yield? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16 . b. What is the expected capital gains yield? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16 .

Ask by Wood Munoz. in the United States
Mar 10,2025

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Tutor-Verified Answer

Answer

Dividend Yield: 5.51%, Expected Capital Gains Yield: 6.75%.

Solution

1. Define the variables: - Next dividend, \( D_1 = \$2.70 \) - Current stock price, \( P_0 = \$49.00 \) - Dividend growth rate, \( g = 6.75\% = 0.0675 \) 2. Calculate the dividend yield using the formula: \[ \text{Dividend Yield} = \frac{D_1}{P_0} \] Substitute the values: \[ \text{Dividend Yield} = \frac{2.70}{49.00} \approx 0.05510204 \] Converting to a percentage: \[ 0.05510204 \times 100 \approx 5.51\% \] 3. The expected capital gains yield for a stock with dividends growing at a constant rate is equal to the growth rate: \[ \text{Capital Gains Yield} = g = 6.75\% \] 4. Final Answers: - Dividend Yield: \( 5.51\% \) - Expected Capital Gains Yield: \( 6.75\% \)

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To find the dividend yield and expected capital gains yield for Im, Incorporated, we can use the following formulas: a. **Dividend Yield:** The dividend yield is calculated as the annual dividend divided by the stock price. Here, the annual dividend is \( \$2.70 \), and the stock price is \( \$49.00 \). \[ \text{Dividend Yield} = \left(\frac{\text{Annual Dividend}}{\text{Stock Price}}\right) \times 100 = \left(\frac{2.70}{49.00}\right) \times 100 \approx 5.51\% \] b. **Expected Capital Gains Yield:** The expected capital gains yield is equal to the growth rate of the dividends, which is given as 6.75 percent. So, the answers are: a. **Dividend Yield:** 5.51% b. **Expected Capital Gains Yield:** 6.75%

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