Question

You buy a share of The Ludwig Corporation stock for $21.70. You expect it to pay dividends of $1.00, $1.16, and $1.3456 in Years 1, 2, and 3, respectively, and you expect to sell it at a price of $28.15 at the end of 3 years.Assuming that the calculated growth rate is expected to continue, you can add the dividend yield to the expected growth rate to obtain the expected total rate of return. What is this stock's expected total rate of return (assume the market is in equilibrium with the required return equal to the expected return)

Answer 1

21%

Step-by-step explanation:

Given that,

Cost of share = $21.70

Expect to pay dividend in year 1 = $1.00

Expect to pay dividend in year 2 = $1.16

Expect to pay dividend in year 3 = $1.3456

Expected selling price of share at the end of year 3 = $28.15

Growth rate in Dividends:

= [(Dividend in Year 2 - Dividend in Year 1) ÷ Dividend in Year 1] × 100

= [($1.16 - $1.00) ÷ $1.00] × 100

= 0.16 × 100

= 16%

Expected dividend yield :

= (Dividend in year 1 ÷ Cost of Share ) × 100

= (1.00 ÷ $21.70) × 100

= 0.05 × 100

= 5%

Stock's expected total rate of return:

= Expected Dividend Yield + Growth rate in Dividends

= 5% + 16%

= 21%