Question

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 percent 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

Answer 1

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