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The common stock of Auto Deliveries sells for $27.21 a share. The stock is expected to pay $1.80 per share next month when the annual dividend is distributed. Auto Deliveries has established a pattern of increasing its dividends by 4.6 percent annually and expects to continue doing so. What is the market rate of return on this stock?

Respuesta :

Answer:

Market rate of return on stock = 11.2152%

Explanation:

Details provided are

Market rate per share = $27.21

Dividend to be paid at year end = $1.80

Expected dividend growth rate = 4.6%

Expected return of market has to be calculated.

Using the dividend growth model we have,

[tex]Price\ of\ share\ = \frac{Dividend\ at\ year\ end}{Market\ return\ - Growth\ rate}[/tex]

[tex]27.21 = \frac{1.80}{Rm - 4.6}[/tex]

Market return - growth = [tex]\frac{1.8}{27.21} = 6.6152[/tex]

Market return = 6.6152 + 4.6 = 11.2152%

Market rate of return on stock = 11.2152%

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