Valuing Shares and the Impact of Dividend Growth and Required Rate of Return

The XYZ Corporation pays a dividend of $1 for each share and its required rate of return is 8%. Answer the following questions:
A. Assuming zero growth in dividends, what is the value of each share?
B. Now assume a 4% annual growth rate in the dividend paid. What is the value of each share?
C. Assume the growth rate is still 4%, but the required rate of return drops to 6%. What is the new value of each share?

  Valuing Shares and the Impact of Dividend Growth and Required Rate of Return Valuing shares of a corporation is essential for investors to determine whether the current market price is fair and aligns with their investment objectives. In this essay, we will explore the valuation of shares in the XYZ Corporation under different scenarios, considering the dividend payment and the required rate of return. A. Valuing Shares with Zero Dividend Growth Let's begin by calculating the value of each share in the XYZ Corporation assuming zero growth in dividends. The corporation pays a dividend of $1 per share, and the required rate of return is 8%. To determine the value of each share, we can use the dividend discount model (DDM) formula: Value of Share = Dividend / Required Rate of Return Using the given values, we find: Value of Share = $1 / 0.08 = $12.50 Therefore, under the assumption of zero growth in dividends, the value of each share in the XYZ Corporation is $12.50. B. Valuing Shares with 4% Dividend Growth Now, let's consider a scenario where the XYZ Corporation has a 4% annual growth rate in the dividend paid. To calculate the value of each share in this case, we will use the Gordon Growth Model (GGM), which takes into account the dividend growth rate: Value of Share = Dividend * (1 + g) / (Required Rate of Return - g) Where g is the dividend growth rate. Using the given values, we find: Value of Share = $1 * (1 + 0.04) / (0.08 - 0.04) = $26.00 Therefore, assuming a 4% annual growth rate in dividends, the value of each share in the XYZ Corporation is $26.00. C. Valuing Shares with 4% Dividend Growth and 6% Required Rate of Return Lastly, let's examine a scenario where the dividend growth rate remains at 4%, but the required rate of return drops to 6%. Using the Gordon Growth Model with the updated values, we find: Value of Share = $1 * (1 + 0.04) / (0.06 - 0.04) = $52.00 Therefore, with a 4% dividend growth rate and a reduced required rate of return of 6%, the new value of each share in the XYZ Corporation is $52.00. In conclusion, valuing shares involves considering factors such as dividend payments, dividend growth rates, and the required rate of return. By utilizing appropriate models like the dividend discount model or the Gordon Growth Model, investors can estimate the fair value of shares and make informed investment decisions based on their risk tolerance and investment objectives.  

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