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Company X has a three-component capital structure: a 10-year 5% bond that pays interest annually (work with a bond with a par value of $100);

Company X has a three-component capital structure: a 10-year 5% bond that pays interest annually (work with a bond with a par value of $100); a perpetual preferred stock paying an annual dividend of $10and common stock that paid a dividend this year of$1 per share.The current yield on a 10-year riskless bond is 4%, and the credit risk of Company X is such that investors demand a yield to maturity on X bonds of 2% over the riskless rate. For the preferred stock, investors demand a yield of 3% over the 30-year riskless rate (considering that preferred stocks commonly have a perpetual term, and the 30-year bond rate is commonly the longest maturing bond available), which is 6%. For the common stock, assume the required return on the stock (R) is 12%, and the forecast rate of growth of the common dividend (g) is 7% in perpetuity.

  1. Calculate the bond price.
  2. Calculate the accrued interest and the price + accrued interest.Assume the next interest payment occurs in 9 months.
  3. Calculate the price of the preferred stock (remember it is a perpetual instrument).
  4. Using the Dividend Discount Model, calculate the common stock price.

Finally, in a brief discussion, analyse the reliability of the dividend discount model, specifically identifying those situations in which the results may be misleading, or the model is not applicable.

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