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.Calculate the growth rate in dividends. Round your answer to two decimal places. %Calculate the expected dividend yield. Round your answer to two decimal places. %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 market is in equilibrium with the required rate of return equal to the expected return)? Do not round intermediate calculations. Round your answer to two decimal places. %

Answer 1

Answer:

g = 16%

dividends yield:

Year 1 4.60%

Year 3: 4.78%

expected rate of return:

year 1 20.6%

year 3 20.78%

Explanation:

grow rate:

D1 /D0 = g

1.16/1.00 - 1 = 0.16

1.3456/1.16 - 1 = 0.16

the grow rate is 16%

dividend yield:

dividends/stock price =  dividend yield

1/21.7 = 0,0460 = 4.60%

1.3456/28.15 = 0,04780 = 4.78%

expected rate of return:

dividend yield + grow rate

4.60% + 16% = 20.6%

4.78% + 16% = 20.78%