Valuation of Preferred Stocks

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Preferred stocks can be valued using the dividend discount model, as they usually pay a fixed dividend. Since preferred stocks have indefinite maturity, the DDM can be represented as:

VP=DkpV_{P}=\frac{D}{k_{p}}

Let’s say that a company has issued 100parpreferredstock,andpaysanannualdividendof100 par preferred stock, and pays an annual dividend of 6. The required return is 9%. The value of the preferred stock will be:

V = 6/0.09= 6/0.09 =  66.67

The above calculation assumes that the preferred stock has indefinite maturity.

Let’s say that stock has a maturity of 2 years. The value will now be calculated as follows:

V = 6/(1.09)+6/(1.09) + 6/(1.09)^2 + 100/(1.09)2=100/(1.09)^2 = 94.72

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