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Nat2105 [25]
2 years ago
7

Which of the following statements is​ FALSE? A. According to the constant dividend growth​ model, the value of the firm depends

on the current dividend​ level, divided by the equity cost of capital plus the grow rate. B. A firm can only pay out its earnings to investors or reinvest their earnings. C. Successful young firms often have high initial earnings growth rates. D. Estimating​ dividends, especially for the distant​ future, is difficult.
Business
1 answer:
Vedmedyk [2.9K]2 years ago
4 0

<u>A. According to the constant dividend growth​ model, the value of the firm depends on the current dividend​ level, divided by the equity cost of capital plus the grow rate.</u>

This is the false statement.

<u>Explanation</u>:

The fair value of stock can be calculated using the dividend growth model. While calculating the value of the stock, the growth of the dividends should be considered either in a stable rate or at a different rate during the period at hand.

The dividend growth model is also known as a <u>valuation model</u> as it is used to achieve the value of the stock.

Equity cost is the cost that the firm owes to the equity investors to compensate the risk of their investment.

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Lr  = Lower rate of discount

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NPVH = NPV at Higher discount rate

NPVL = NPV at Lower discount rate

Assume a low discount rate of 1% and a high rate of 20%

<u>NPV at 1%</u>

<u>Particulars        Year 0  Year 1    Year 2   Year 3</u>

Cash flows       152,000  71,800  86,900  (11,200)

DCF 1%                 1           0.99    0.98       0.97

Present values (152,000) 71,082 85,162   (10,864)

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<u />

<u>NPV at 20%</u>

<u>Particulars        Year 0  Year 1    Year 2   Year 3</u>

Cash flows       152,000  71,800  86,900  (11,200)

DCF 20%                 1           0.83    0.69       0.58

Present values (152,000) 59,594 59,961   (6,496)

NPV = ($38,941)

Substituting values in the IRR formula we have:

1% x [($6,620 / ($6620 - (38,941))] x (20% - 1%) = 2.06%

Therefore we reject the project because it gives an IRR lower than the required rate of return of 15.5%

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