
Explanation:
The correct answer is A (€6.62). To calculate the semi-annual dividend, we use the formula for the intrinsic value of a preferred stock:
Where:
Solving for (the semi-annual dividend), we arrive at approximately €6.62.
Option B (€7.20) is incorrect because it mistakenly applies the annual required rate of return (7.2%) directly to the par value (€100), resulting in an annual dividend of €7.20, not the semi-annual dividend.
Option C (€9.00) is incorrect because it applies the annual required rate of return (7.2%) to the intrinsic value (€125), resulting in an annual dividend of €9.00, which is not the semi-annual dividend.
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An analyst gathers the following information about a company's non-callable, non-convertible preferred stock:
A
€6.62
B
€7.20
C
€9.00