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Using the Gordon growth model, if D1 is $.50, ke is 7%, and g is 5%, then the presentvalue of the stock isA) $2.50.B) $25.C) $50.D) $46.73

Question

Using the Gordon growth model, if D1 is .50,keis7.50, ke is 7%, and g is 5%, then the presentvalue of the stock isA) 2.50.B) 25.C)25.C) 50.D) $46.73

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Solution

The Gordon Growth Model is a model to determine the intrinsic value of a stock, excluding external factors such as market conditions. It's a simple model that's used to value a company that's in "steady state" with dividends that are expected to be paid out on a consistent basis in perpetuity.

The formula for the Gordon Growth Model is:

P = D1 / (ke - g)

where: P = price of the stock D1 = expected dividend in one year ke = required rate of return for equity investor g = growth rate in dividends

Given the values D1 = $0.50, ke = 7% or 0.07, and g = 5% or 0.05, we can substitute these into the formula:

P = 0.50 / (0.07 - 0.05)

This simplifies to:

P = 0.50 / 0.02

So, P = $25.00

Therefore, the present value of the stock, according to the Gordon Growth Model, is 25.00.So,thecorrectanswerisB)25.00. So, the correct answer is B) 25.

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Similar Questions

Using the Gordon growth formula, if D1 is $2.00, ke is 12% or 0.12, and g is 10% or 0.10,then the current stock price isA) $20.B) $50.C) $100.D) $150.

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