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Marginal Cost of Capital and Investment Return

Chapter 11 comprehensive problem page 328
Marginal cost of Capital and Investment Return

Southern Textiles is in the process of expanding its productive capacity to introduce a new line products. Current plans call for possible expenditure of $100 million on four projects of equal size ( $25 Million), but different returns. Project A will increase the firm's procesed yarn capacity and has an expected return of 15% after taxes. Project B will increase the capacity for woven fabrics and carries a return of 13.5%. Project C, a venture into synthetic fibers, is expected to earn 11.2% and project D, an investment into dye and textile chemicals, is expected to show a 10.5 % return.
The firms Capital structure consists of 40% debt and 60% common equity and this will continue in the future. There is no preferred stock. Southern Textiles has $15 million in retained earnings. After a capital structure with $15 million in retaining earnings is reached ( in which retained earning represent 60% of the financing) all additional equity financing must come in the form of new common stock.
Common stock is selling per $30 per share and underwriting costs are estimated at $3 if new shares are issued. Dividends for the next year will be $1.50 per share (D1) , and earnings and dividends have grown consistently at 9% per year.
The yield on comparative bonds has been hovering at 11%. The investment banker feels that the first $20 million of bonds could be sold to yield 13%. The corporate taxt rate is 34%.

a) Based on the two sources of financing, what is the initial weighted average cost of Capital? ( Use Kd and Ke).
b) At what size capital structure will the firm run out of retained earnings?
c) What will the marginal cost of capital be immediately after that point?
d) At what size capital structure will there be a change in the cost of debt?
e) What will the marginal cost of capital be immediately after that point?
f) Based on the information about potential returns on investments in the first paragraph
and information 0n marginal cost of capital ( in parts a, c, and e) how large a capital
investment budget should the firm use?
g) Graph the answer determine in part f.

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