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svetoff [14.1K]
3 years ago
5

Cork Inc. declared a $160,000 cash dividend. It currently has 6,000 shares of 7%, $100 par value cumulative preferred stock outs

tanding. It is one year in arrears on its preferred stock. How much cash will Cork distribute to the common stockholders?a. $88,000.
b. $72,000.
c. $124,000.
Business
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

$124,000 is the correct answer if we use 6% which is the correct question scenario. If we take 7% then its

Explanation:

The cash dividend announced is $160,000. Remember the first payment goes to preferred shareholders and then the amount left would be distributed among the ordinary shareholders.

The dividend share of Preferred shareholders = 6000 shares * $100 par value * 6% fixed rate = $36,000

After deducting this amount from the dividend announce will go to ordinary shareholders and is calculated as under:

Share of Dividend of ordinary shareholders = $160,000 - $36,000

= $124,000

Similarly if we use 7% fixed rate, then

The dividend share of Preferred shareholders = 6000 shares * $100 par value * 7% fixed rate = $42,000

After deducting this amount from the dividend announce will go to ordinary shareholders and is calculated as under:

Share of Dividend of ordinary shareholders = $160,000 - $42,000

= $124,000

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Your neighborhood self-service laundry is for sale and you consider investing in this business. For the business alone and no ot
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  • The complete present value calcuation is below.

  • The net present value of this project is: $77,930.58 (assuming a value for the sale of the business equal to the purchase price).

Explanation:

For this problem, the first and basic question is:

  • <em>Prepare a net present value calculation for this project. What is the net present value of this project?</em>

<em />

<h2>Solution</h2>

The net present value is equal to: the present value of the future cash flows less present value of the investements.

<u>1. Present value of the future cash flows:</u>

The discount factor is equal to 1 / [1 + (1 + r)ⁿ]

Where:

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  • n = the number of year

Year     Cash flow     Discount factor     Present value

1            $30,000       1/(1 + 0.05)             $30,000/1.05 = $28,571.43

2           $30,000       1/(1 + 0.05)²           $30,000/(1.05)² = $27,210.88

3           $30,000       1/(1 + 0.05)³           $30,000/(1.05)³ = $25,915.13

4           $30,000       1/(1 + 0.05)⁴           $30,000/(1.05)⁴ = $24,681.07

5           $30,000       1/(1 + 0.05)⁵           $30,000/(1.05)⁵ = $23,505.78

5           $240,000*   1/(1 + 0.05)⁵           $240,000/(1.05)⁵ = $188,046.28

*For the year 5 you must also consider the value of the business, which is unknow. You should have some information about it. Although unrealistic, at this stage we can just assume a value: let's say it is the same purchase price: $240,000. That is what the last line shows:

The discount the value of the value of the business is:

  • $240,000 / (1.05)⁵ = $188,046.28

The total present value of the future cash flows is the sum of the present values of all the cash flows:

$28,571.43 + $27,210.88 + $25,915.13 + $24,681.07 + $23,505.78 + $188,046.28 = $317,930.58

<u>2. Calculate the net present value:</u>

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                     = Total present value of future cash flows - investment

  • Net present value = $317,930.58 - $240,000 = $77,930.58
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