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Directions: You MUST show ALL of your work to receive credit on the problems. Th

ID: 2765980 • Letter: D

Question

Directions: You MUST show ALL of your work to receive credit on the problems. There will be significant point reductions if you do not show your work. All calculations should be completed to at least 2 decimal places.

Calculate a firm's required rates of return for both of its equity components: Its common stock sells for $50 per share and will pay a $6 dividend next year which is expected to grow at a constant 5% rate. Its preferred stock sells for $22.50 per share and pays $1.80 in dividends. What accounts for the difference in returns, given that these are both forms of equity?

Explanation / Answer

1

Calculation of firm's required rates of return for Common Stock:

Formula:

Required Rate = (Expected Dividend / Market Price ) + Growth Rate

= (6 / 50 ) + 5%

= 12% + 5%

= 17%

2

Calculation of firm's required rates of return for Preferred Stock:

Formula:

Required Rate = Dividend / Market Price

= 1.80 / 22.50

= 8%

3

The Difference in return on both form of equity is due to Growth rate.

1

Calculation of firm's required rates of return for Common Stock:

Formula:

Required Rate = (Expected Dividend / Market Price ) + Growth Rate

= (6 / 50 ) + 5%

= 12% + 5%

= 17%

2

Calculation of firm's required rates of return for Preferred Stock:

Formula:

Required Rate = Dividend / Market Price

= 1.80 / 22.50

= 8%

3

The Difference in return on both form of equity is due to Growth rate.

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