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Vlada [557]
3 years ago
6

A company paid its annual dividends of $5.39 per share last week. The company expects to grow its dividends at the rate of 5.0 p

ercent per year for four years, after which the dividends are expected to remain constant at the level of $7.13 per share per year in perpetuity. If investors require a rate of return of 11.5 percent on this company's stock, what should be the price of one share of this stock today
Business
1 answer:
Serhud [2]3 years ago
8 0

Answer: $58.7

Explanation:

The price of one share of this stock today will be calculated thus:

Dividend of year 1= $5.39(1 + 0.05) = $5.66

Dividend of Year 2 = $5.39(1 + 0.05)² = $5.94

Dividend of Year 3 = $5.39(1 + 0.05)³ = $6.24

Dividend of Year 4 = $5.39(1 + 0.05)^4 = $6.55

We then calculate the value at year 4 which will be:

= $7.13 / 0.115 = $62

The price will then be:

Price = $5.66 / (1 + 0.115) + $5.94 / (1 + 0.115)² + $6.24/ (1 + 0.115)³ + $6.56 / (1 + 0.115)^4 + $62 / (1 + 0.115)^4

= $58.7

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