A firm has determined its optimal capital structure, which is composed of the following sources and target market value proportions. Debt: The firm can obtain a 5-year loan from Colorful Bank for $2,500,000, at an annual rate of 10%. Preferred Stock: The firm has determined it can issue $100 par value preferred stock at $103 per share for a total of $3,500,000. The stock will pay a 10% annual dividend. The cost of issuing and selling the stock is $3 per share. Common Stock: The firm’s common stock is currently selling for $150 per share. The dividend expected to be paid at the end of the coming year is $15. Its dividend payments have been growing at a constant rate of 5%, total common stock is $4,000,000. Additionally, the firm’s marginal tax rate is 30 percent. The firm is currently studying the feasibility of investing in a machine worth $6,000,000 which will reduce cash operating costs for $2,600,000 yearly, it will have a 3-year life and will be depreciated on a straight-line basis. What is the the firm’s after-tax cost of debt? What is the cost of preferred stock? What is the cost of common stock?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter12: The Cost Of Capital
Section: Chapter Questions
Problem 9P
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A firm has determined its optimal capital structure, which is composed of the following sources and target market value proportions.

  • Debt: The firm can obtain a 5-year loan from Colorful Bank for $2,500,000, at an annual rate of 10%.
  • Preferred Stock: The firm has determined it can issue $100 par value preferred stock at $103 per share for a total of $3,500,000. The stock will pay a 10% annual dividend. The cost of issuing and selling the stock is $3 per share.
  • Common Stock: The firm’s common stock is currently selling for $150 per share. The dividend expected to be paid at the end of the coming year is $15. Its dividend payments have been growing at a constant rate of 5%, total common stock is $4,000,000. Additionally, the firm’s marginal tax rate is 30 percent.

The firm is currently studying the feasibility of investing in a machine worth $6,000,000 which will reduce cash operating costs for $2,600,000 yearly, it will have a 3-year life and will be depreciated on a straight-line basis.

  1. What is the the firm’s after-tax cost of debt?
  2. What is the cost of preferred stock?
  3. What is the cost of common stock?
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