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julia-pushkina [17]
3 years ago
10

A fast growing firm recently paid a dividend of $0.80 per share. The dividend is expected to increase at a rate of 30% rate for

the next 4 years. Afterwards, a more stable 7% growth rate can be assumed. If a 10% discount rate is appropriate for this stock, what is its value?
A.$60.48
B. $60.18
C. $61.34
D. $73.86
Business
1 answer:
Katyanochek1 [597]3 years ago
4 0

Answer:

The value of the stock today is $60.48 and option A is the correct answer.

Explanation:

The two stage growth model of DDM will be used to calculate the value of this stock today. The two stage growth model is used when there are 2 different dividend growth rates. The 30% growth rate can be termed as g1 while the 7% growth rate which is assumed to remain constant forever can be termed as g2.

The formula for price/value under this model is,

Value or P0  = D1 / (1+r)  +  D2 / (1+r)^2  +  ...  +  Dn / (1+r)^n  +  

[Dn * (1+g2)  /  (r - g2)]  /  (1+r)^n

Value today = 0.8 * (1+0.3) / (1+0.1)  +  0.8 * (1+0.3)^2 / (1+0.1)^2  +  

0.8 * (1+0.3)^3 / (1+0.1)^3  +  0.8 * (1+0.3)^4 / (1+0.1)^4  +  

[ (0.8 * (1+0.3)^4 * (1+0.07)  /  (0.1 - 0.07))  /  (1+0.1)^4 ]

Value today = $60.60 which is closest to $60.48 and A is the answer.

The difference of $0.12 in the answer is because of the rounding off as the immediate calculations were not rounded off in the calculation of $60.60

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Answer:

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Explanation:

The Key to this Question is:

Although the right to purchase the common stock was exercised October 31, 2018. Since the warrant has already been issued July 1, 2018, the 36,000 rights exercised will be calculated and valuated based on prevailing prices on July 1, 2018.

Hence, the Par Value = $10, the purchase price allowed by warrant = $15 and the Market price of the rights to use $2.40

Step 1: Calculate the Cash Amount Received from the exercise of the 36,000 rights

= 36,000 Shares (exercised on October 31, 2018) x $15 ( the Warrant right to purchase common Stock)

= 36,000 x $15

=$540,000 (this is the amount paid for the 36,000 rights exercised)

Step 2: Calculate the Paid in Capital

a. Paid in Capital- Stock Warrants- based on the Market Price of Rights on July 1, 2018

= 36,000 x $2.40 (Market Price of the rights on July 1, 2018)

= $86,400 (This is the value of the 36,000 shares purchased based on the prevailing market price @ July 1, 2018)

b. Calculate Paid in Capital based on the Issued warrant's Par value of One Share of Common Stock when the warrant was issued

= 36, 000 x $10

= $360,000

c. Calculate the Paid-in Capital in Excess of Par—Common Stock

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=$273,600 (This is the difference between the par value on July 1, 2018 when the rights were issued and the market price of the rights on that same date).

In summary:

Cash 540,000

Paid-in Capital—Stock Warrants $86,400

Common Stock $360,000

Paid-in Capital in Excess of Par—Common Stock 273,600

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