# If D0 = $1.05, g (which is constant) = 4.7%, and P0 =$26.00, what is the stock's expected...

## Question:

If D0 = $1.05, g (which is constant) = 4.7%, and P0 =$26.00, what is the stock's expected dividend yield for the coming year?

## Expected Dividend Yield:

The expected dividend yield gives a relation between the dividend and the current stock price. It is the ratio of the annual dividend to the current price of the stock expressed as a percentage.

The expected dividend yield on a stock is calculated as:

• {eq}\text{Dividend yield} = \dfrac{D1}{P0} \times 100{/eq}

Where:

• P0 is the current price of the stock and,
• D1 is the expected dividend for next year.

We are given that D0 = $1.05 and the dividend growth rate is constant at g = 4.7%. Thus, the expected dividend for next year will be equal to {eq}1.05\times 104.7\% = \$1.0035{/eq}. Thus, if the current price is P0 = \$26, the expected dividend yield for next year is equa to:

• {eq}\text{Dividend yield} = \dfrac{1.0035}{26} \times 100 = \boxed{4.23\%}{/eq}