Portman Industries just paid a dividend of $2.16 per share. The company expects the coming year to be very profitable, and its dividend is expected to grow by 16.00% over the next year. After the next year, though, Portman's dividend is expected to grow at a constant rate of 3.20% per year. The required rate of return is 13.6%. Assuming that the market is in equilibrium. Required:
What is the expected dividend yield for Portman's stock today?

Expected Dividend Yield is 10.4%

Explanation:

As we know that the Expected Dividend Yield for Portman’s Stock can be calculated using the following formula:

Expected Dividend Yield = [D0 x (1 + g) / Intrinsic Value (Step1)] * 100

Here

Dividend just paid is $2.16 per share

The growth rate for the Portman's stock is 16% for the first year

Ke is 13.6%

Intrinsic Value = $24.09 (See Step 1)

By putting the above values in the above equation, we have:

Expected Dividend Yield = [$2.16 x (1 + 0.16) / $24.09] x 100

= 10.4%

Step 1. Intrinsic Value can be calculated using the following formula:

Intrinsic Value = D1 / (1 + r)^1   +  Horizon Value (Step 2) / (1 + r)^1

Here

Growth (g) will be 3.2% for the year 2 because D2 = D1 * (1 + g)

Horizon value = D1 * (1 + g) / (Ke – g) = $2.5056 * (1 + 3.2%) / (13.6% – 3.2%)

= $2.5858 / 0.0752 = $24.86 per share

So by putting the above values in the step 1, we have:

= $2.5056 / (1 + 0.136)1 + $24.86/(1 + 0.136)1

= $24.09 per share