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Asonia company will pay a dividend of $3.80, $7.90, $10.75, and $12.50 per share for each of the next four years, respectively. The company will then close its doors. If investors require a return of 10.5 percent on the company's stock, what is the stock price?

A. $100.00
B. $110.00
C. $120.00
D. $130.00

1 Answer

4 votes

Final answer:

The stock price can be calculated using the present value of a stream of dividends formula.

Step-by-step explanation:

To calculate the stock price, we can use the formula for the present value of a stream of dividends. The formula is:

Stock Price = D1 / (1 + r) + D2 / (1 + r)^2 + D3 / (1 + r)^3 + ... + Dn / (1 + r)^n

Where D1, D2, D3, ... Dn are the dividends for each year, r is the required rate of return, and n is the number of years.

In this case, the dividends are $3.80, $7.90, $10.75, and $12.50 for the next four years, respectively. The required rate of return is 10.5%.

Using the formula, we can calculate:

Stock Price = $3.80 / (1 + 0.105) + $7.90 / (1 + 0.105)^2 + $10.75 / (1 + 0.105)^3 + $12.50 / (1 + 0.105)^4 = $10.80 + $13.19 + $14.44 + $15.18 = $53.61

Therefore, the stock price is $53.61