College

Saine Corporation will pay a $3.25 per share dividend next year. The company pledges to increase its dividend by 5 percent per year, indefinitely. If you require a return of 10.5 percent on your investment, how much will you pay for the company’s stock today?

Answer :

Answer:

$59.10

Explanation:

P0 = D1/r-g

P0 = $3.25 / 0.105 - 0.05

P0 = $3.25 / 0.055

P0 = $59.09090909090909

P0 = $59.10

Thus, the price currently we will like to pay for the stock is $59.10

Final answer:

To calculate how much to pay for Saine Corporation's stock today, we use the Gordon Growth Model - P = D / (r - g). Substituting given values, we find P = $3.25 / (0.105 - 0.05) = $61.90. Therefore, the price of the stock today should be around $61.90.

Explanation:

The price you should pay for Saine Corporation's stock today is determined using the Gordon Growth Model, which is a method used for valuating stocks that assume dividends grow at a constant rate. The formula for the model is: P = D / (r - g), where P is the price of the stock, D is the dividend payment, r is the required rate of return, and g is the rate of dividend growth.

In this case: D= $3.25 (the dividend next year), r= 0.105 (the required return of 10.5%), and g= 0.05 (the pledge to increase its dividend by 5 percent per year).

So, we substitute these values into the Gordon Growth Model formula: P = $3.25 / (0.105 - 0.05) = $61.90

Thus, you should be willing to pay approximately $61.90 for the company's stock today.

Learn more about Gordon Growth Model here:

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