6. ABC Company announced today that it will begin paying annual dividends next year. The first dividend will be $0.10 a share. The following dividends will be $0.20, $0.30, $0.40, and $0.50 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 2.0 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.0 percent

The amount willing to pay to buy one share is $6.92.

Explanation:

The announcement by company to pay annual dividend = $0.10

2nd year divident amount = $0.20

3rd year divident amount = $0.30

4th year divident amount = $0.40

5th-year divident amount = $0.50

The increase in dividend = 2 percent.

The desired rate of return = 8%

Value after year 5 = (D5 × Growth rate) / (Required rate-Growth rate)

=(0.5 × 1.02) / (0.08-0.02)

=8.5

Therefore, the current value = Future dividend and value × Present value of discounting factor(rate%,time period)

=0.1/1.08 + 0.2/1.08^2 + 0.3/1.08^3 + 0.4/1.08^4 + 0.5/1.08^5 + 8.5/1.08^5

=$6.92.

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