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Jlenok [28]
3 years ago
10

Your grandfather likes to tell the story about how he started with 50 head of cattle on his ranch and grew the ranch to 1,000 he

ad of cattle. He said "My plan was simple: grow the number of head of cattle at a rate of 10% per year."
Your grandfather reached his goal before he retired. How long did it take him?
A) 18.63 years
B) 31.43 years
C) 25.22 years
D) 47.65 years
Business
1 answer:
koban [17]3 years ago
8 0

Answer:

31.43 years

Explanation:

The number of years can be calculated using growth rate formula

yf = yi ( 1 + r) ^ t where yf is the final population, yi is the initial population, r is the rate in % and t is the number of years

yi = 50, yf = 1000, r = 10% and t = ?

substitute the values into the formula

1000 = 50 ( 1 + (10/100)) ^ t

divide both side by 50

1000/ 50 = 1000/50 ( 1.1) ^t

20 = (1.1) ^t

take log of both side

log 20 = t log 1.1  ( remember log a^b = b log a)

divide both side by log 1.1

log 20 / log 1.1 = t

t = 31.43 years

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Explanation:

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3 years ago
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Perine, Inc., has balance sheet equity of $5.4 million. At the same time, the income statement shows net income of $783,000. The
S_A_V [24]

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The target stock price in one year is $149.93

Explanation:

Fly Away, Inc., has

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The company paid dividends of (D) = $438,480

Shares of stock outstanding (N) = 100,000

Benchmark PE ratio = 18

Question = what is the target stock price in one year?

We need the expected EPS at the end of next year and not this year.

EPS this year, E₀ = NI / N

                            = 783,000 / 100,000

                            = $ 7.83

Retention Ratio, "R" = 1 - Dividend payout ratio = 1 - D/NI

                                 = 1 - 438,480 / 783,000

                                 = 1 - 56.00%

                                 = 44.00%

Return on equity, ROE = NI / E

                                     = 783,000 / 5,400,000

                                     = 14.50%

Growth rate in earnings, g = R x ROE

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                                         = 6.38%

Hence, expected EPS next year, E₁ = E₀ x (1 + g)

= $ 7.83 x (1 + 6.38%)

= $ 8.33

Hence, target price next year, P = Benchmark PE ratio x E₁

                                                     = 18 x $8.33

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The target stock price in one year = $149.93

4 0
3 years ago
Universal Exports is expected to pay the following dividends over the next four years: $8, $4, $2, and $2. Afterwards the compan
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Answer:

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<em>Hence the value of the stock would be the present value of its future dividend discounted at 15%</em>

Year                                   PV of dividend

1                                          8  ×1.15^(-1)  

2                                           4 ×  1.15^(-2)  

3.                                              2 × 1.15^(-3)    

4                                                  2 × 1.15^(-4)    

PV of dividend =   (8 ×1.15^-1) +  (4 × 1.15^-2)  + (2 × 1.15^ -3) + (2× 1.15^-4) = 12.439

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