A stock is expected to pay a year-end dividend of $2.00, i.e., D1 = $2.00. The dividend is expected to decline at a rate of 5% a year forever (g = −5%). If the company is in equilibrium and its expected and required rate of return is 15%, which of the following statements is CORRECT?a. The company's dividend yield 5 years from now is expected to be 10%.b. The constant growth model cannot be used because the growth rate is negative.c. The company's expected capital gains yield is 5%.d. The company's expected stock price at the beginning of next year is $9.50.e. The company's current stock price is $20.

Respuesta :

Answer:

Option (D) is correct.

Explanation:

Given that,

Stock is expected to pay a year-end dividend, D1 = $2.00

Dividend is expected to decline at a rate, g = 5% a year (g = −5%)

Required rate of return = 15%

Expected stock price at the beginning of the next year:

[tex]=\frac{Next\ year\ dividend\times(1+growth\ rate)}{Required\ rate-Growth\ rate}[/tex]

[tex]=\frac{2\times(1+(-5percent))}{15percent-(-5percent)}[/tex]

[tex]=\frac{2\times95\ percent}{20percent}[/tex]

= $9.5

Therefore, the company's expected stock price at the beginning of next year is $9.50.

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