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Continental Airlines just paid a dividend of $0.65. It is expected to increase its dividend by 1.55% per year. If the market's return on assets of this risk level is 12%, how much should the stock be selling for?Group of answer choices$6.32$6.22$5.42$5.98

Question

Continental Airlines just paid a dividend of 0.65.Itisexpectedtoincreaseitsdividendby1.550.65. It is expected to increase its dividend by 1.55% per year. If the market's return on assets of this risk level is 12%, how much should the stock be selling for?Group of answer choices6.326.226.225.42$5.98

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Solution

To solve this problem, we can use the Gordon Growth Model (also known as the Dividend Discount Model), which is a method used in finance to calculate the intrinsic value of a stock, exclusive of current market conditions. The model assumes that dividends grow at a constant rate indefinitely.

The formula for the Gordon Growth Model is:

P = D1 / (k - g)

where: P = price of the stock D1 = expected dividend in the next year k = required rate of return g = growth rate of dividends

Given in the problem: D0 (current dividend) = $0.65 g (growth rate) = 1.55% or 0.0155 in decimal form k (required rate of return) = 12% or 0.12 in decimal form

First, we need to calculate D1, the expected dividend in the next year. This can be calculated as:

D1 = D0 * (1 + g) D1 = 0.65(1+0.0155)D1=0.65 * (1 + 0.0155) D1 = 0.66 (rounded to the nearest cent)

Now we can substitute D1, k, and g into the Gordon Growth Model to find the price of the stock:

P = D1 / (k - g) P = 0.66/(0.120.0155)P=0.66 / (0.12 - 0.0155) P = 6.32

So, the stock should be selling for approximately $6.32.

This problem has been solved

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