Procter and Gamble (PG) paid an annual dividend of $2.78 in 2021. You expect PG to increase its dividends by 7.5% per year for the next five years (through 2026), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 7.2% per year, use the dividend-discount model to estimate its value per share at the end of 2021. The price per share is $ (Round to the nearest cent.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Estimating Stock Price Using the Dividend-Discount Model**

Procter and Gamble (PG) paid an annual dividend of $2.78 in 2021. You expect PG to increase its dividends by 7.5% per year for the next five years (through 2026), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 7.2% per year, use the dividend-discount model to estimate its value per share at the end of 2021.

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**Dividend-Discount Model Explanation:**

The dividend-discount model (DDM) is a technique used for estimating the value of a stock by predicting future dividends and discounting them back to their present value. This model assumes that dividends grow at a constant rate.

**Steps to Calculate Price Per Share:**

1. **Determine the Expected Dividends:**
   - Calculate the next five years’ dividends by increasing the dividend by 7.5% annually.
   - After five years, increase the dividend by 2.6% annually.

2. **Calculate Present Value:**
   - Use the formula for the present value of a growing annuity for the first five years.
   - After five years, use the Gordon Growth Model to project future dividends.

3. **Calculate the Price Per Share:**
   - Sum the present value of the first five years and the terminal value to find the stock price.

The price per share is _______ (Round to the nearest cent.)
Transcribed Image Text:**Estimating Stock Price Using the Dividend-Discount Model** Procter and Gamble (PG) paid an annual dividend of $2.78 in 2021. You expect PG to increase its dividends by 7.5% per year for the next five years (through 2026), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 7.2% per year, use the dividend-discount model to estimate its value per share at the end of 2021. --- **Dividend-Discount Model Explanation:** The dividend-discount model (DDM) is a technique used for estimating the value of a stock by predicting future dividends and discounting them back to their present value. This model assumes that dividends grow at a constant rate. **Steps to Calculate Price Per Share:** 1. **Determine the Expected Dividends:** - Calculate the next five years’ dividends by increasing the dividend by 7.5% annually. - After five years, increase the dividend by 2.6% annually. 2. **Calculate Present Value:** - Use the formula for the present value of a growing annuity for the first five years. - After five years, use the Gordon Growth Model to project future dividends. 3. **Calculate the Price Per Share:** - Sum the present value of the first five years and the terminal value to find the stock price. The price per share is _______ (Round to the nearest cent.)
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