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babymother [125]
3 years ago
13

Could I Industries just paid a dividend of $1.35 per share. The dividends are expected to grow at a rate of 19 percent for the n

ext five years and then level off to a growth rate of 7 percent indefinitely. If the required return is 13 percent, what is the value of the stock today?
Business
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

$38.956

Explanation:

According to dividend valuation model, the value of stock today is the present value of all the dividends that it will receive in future.

Based on the above discussion, the value of stock shall be calculated as follows:

Present value of Year 1 dividend=            $1.42

1.6065(1+13%)^-1

Present value of Year 2 dividend=          $1.496

1.91(1+13%)^-2

Present value of Year 3 dividend=          $1.57

2.27(1+13%)^-3

Present value of Year 4 dividend=         $1.66

2.7013(1+13%)^-4

Present value of Year 5 dividend=        $1.74

3.21(1+13%)^-5

Present value of dividend after Year 5=$31.07

(3.21(1+7%)/(13%-7%))*(1+13%)^-5

Price of share=                                      $38.956

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The answer is 25.19% .

Note: The values were not stated for the net series cash flows, during my research and i found the complete question and solved it.

Explanation:

<em>From the question given,</em>

<em>The first step is to make use of a table for the net cash flow series</em>

<em>Year                      1                  2                3              4             5             6</em>

<em>Net cash flow    $4100   $2000         $7000         $12000  $700       $800</em>

<em>Then,</em>

<em>Solution : MIRR is defined as modified internal rate of return, It accounts for the positive cash flows with reinvestment by using re-investment rate and negative cash flows are calculated at their present values to keep the fund aside by using finance rate. </em>

<em> As given also reinvestment rate = 20% and finance cost rate = 10%. </em>

<em> Now, from the table given of cash flows, we will calculate the future value of all cash flows in year 6. </em>

<em> FV = 4100*(1+0.20)^5 + 12000*(1+0.20)^2 + 800*(1+0.20)^0 = $28282.11 </em>

<em> Now,</em>

<em> By applying the rate of   we will computer teh PV of -ve cash flows : </em>

<em> PV = -2000/(1+0.1)^2 + -7000/(1+0.1)^3 + -700/(1+0.1)^5 = -$7346.73 </em>

<em> Now MIRR can be calculated by using the formula , MIRR = \√[n]{FV(positive cash flows/PV of negative cash flows)}-1 = \√[6]{28282.11/7346.74)}-1 </em>

<em> MIRR = 1.2519-1 = 0.2519 or 25.19% </em>

<em> Therefore, the only value Possible = 25.19% in this case.</em>

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