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Alexxandr [17]
3 years ago
15

Alcott's preferred stock pays a dividend of $1.00 per quarter. If the price of the stock is $45.00, what is its nominal (not eff

ective) annual rate of return?
Business
1 answer:
harina [27]3 years ago
5 0

Answer:

= 8.89%

Explanation:

T<em>h rate of return on a preferred stock is the dividend divided by the price of the stock multiplied by 100</em>

<em>Return = Dividend/price × 100</em>

Quarterly dividend = $1

<em>Annual dividend </em>

= 1 × 4 ( Note there are four quarters in year)

= $4

<em>Annual rate of  return</em>

= (4/45)× 100

= 8.89%

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Answer:

a.

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2nd $5.89

3rd $6.39

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b.

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Dividend is the payment to the stockholders out of earning of the company. Companies have a dividend policy which determine the future dividend payments.

Dividend of each year can be calculated by using the growth rate as a discount in the compounding formula.

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Fourth year = $5 x ( 1 + 8.5% )^4 = $6.93

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Sixth year = $7.52 x ( 1 + 3.8% )^1 = $7.81

b.

Intrinsic value of the stock is the present value of all the associated dividends

We need to calculate the present value of all the dividend payment.

First year = $5.43 x ( 1 + 11.5% )^-1 =  $4.87

Second year = $5.89 x ( 1 + 11.5% )^-2 = $4.74

Third year = $6.39 x ( 1 + 11.5% )^-3 = $4.61

Fourth year = $6.93 x ( 1 + 11.5% )^-4 = $4.48

Fifth year = $7.52 x ( 1 + 11.5% )^-5 = $4.36

After fifth year the dividend will be discounted as follow

PV of dividend after fifth year = [ $7.81 / (11.5% - 3.8%) ] x [ (1+11.5%)^-6 ] = $52.79

Intrinsic Value of Stock = Sum of PV of all dividends = $4.87 + $4.74 + $4.61 + $4.48 + $4.36 + $52.79 = $75.85

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