Lucas Laboratories' last dividend was $1.50. Its current equilibrium stock price is $15.75, and its expected growth rate is a constant 5%. If the stockholders' required rate of return is 15%, what is the expected dividend yield and expected capital gains yield for the coming year

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Answer:

Expected dividend yield = 10.0%

Expected capital gains yield =  5.0%

Explanation:

D0 = $1.50 (Given)

E(D1) = D0 * (1 + g) = $1.50 * (1.05) = $1.575

E(P0) = $15.75 (Given)

E(P1) = $15.75 * (1.05)1 = $16.5375

Expected dividend yield = E(D1) / E(P0)

= $1.575 / $15.75 = 0.100 = 10.0%

Expected capital gains yield = (E(P1) - E(P0)) / E(P0)

($16.5375 - $15.75) / $15.75 = 0.050 = 5.0%

The Expected dividend yield is = 10.0%

The Expected capital gains yield is =  5.0%

What is Capital Dividend?

According to a capital dividend is drawn from a company's capital it is based on, but not its earnings. Also, It is seen as a signal that a company lacks spare cash to pay dividends. When the Regular dividends are paid from earnings, and also represent a share of the profits. When A dividend is a periodical interest payment to an investor then to the investor is holding stocks.

Calculation is:

First D0 is = $1.50 (Given)

Then E(D1) is = D0 × (1 + g) = $1.50 × (1.05) = $1.575

After that E(P0) is = $15.75 (Given)

Then E(P1) is = $15.75 × (1.05)1 = $16.5375

Then the Expected dividend yield is = E(D1) / E(P0)

Therefore, = $1.575 / $15.75 = 0.100 = 10.0%

After that Expected capital gains yield is = (E(P1) - E(P0)) / E(P0)

Thus, ($16.5375 - $15.75) / $15.75 = 0.050 = 5.0%

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