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Lelechka [254]
3 years ago
5

On January 1, year 8, Crimson Corp., a closely held corporation, issued 5% bonds with a maturity value of $90,000, together with

1,500 shares of its $3 par value common stock, for a combined cash amount of $121,800. The market value of Crimson’s stock is uncertain. If the bonds had been issued separately they would have sold at 102. What amount should Crimson report for additional paid-in capital (or paid-in capital—excess of par) upon issuing the stock?
Business
1 answer:
Elina [12.6K]3 years ago
6 0

Answer:

The amount Crimson should report for additional paid-in capital (or paid-in capital—excess of par) upon issuing the stock is $25,500.

Explanation:

Additional paid-in capital is the excess of market value of common stock over the face value of common stock. Therefore, the amount Crimson should report for additional paid-in capital can be calculated as follows:

Face value of common stock = Number of shares issued * Price per share = $1,500 * $3 = $4,500

Since if the bonds had been issued separately they would have sold at 102, this implies that the market value of the bonds is 102% of the face value of the bond. Therefore, we have:

Bonds market value = Bonds face value * 102% = $90,000 * 102% = $91,800

Market value of common stock = Combined cash amount - Bonds market value = $121,800 - $91,800 = $30,000

Therefore, we have:

Additional paid-in capital = Market value of common stock - Face value of common stock = $30,000 - $4,500 = $25,500

Therefore, the amount Crimson should report for additional paid-in capital (or paid-in capital—excess of par) upon issuing the stock is $25,500.

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Data provided in the question:

Year              Annual dividend paid

   1                                      $1.20

   2                                      $1.12

   3                                      $1.12

   4                                      $14.20

Now,

Year       Annual dividend paid        Present value factor     Present value

   1                              $1.20                          0.84246               1.011

   2                             $1.12                          0.84246               0.7949

   3                             $1.12                          0.59793             0.6696

   4                             $14.20                       0.50373             7.1529

===============================================================

Worth of stock = 1.011 + 0.7949 + 0.6696 + 7.1529

= $9.6284 ≈ $9.63

Note:

Present value factor = [ 1 ÷ (1 + 0.187)ⁿ]

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