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Pani-rosa [81]
3 years ago
8

A company currently pays a dividend of $2.40 per share. The current price of the stock is $18.22. It expects the growth rate of

the dividend to be 2.5% (0.025) annually. What is the required return rate for this stock according to the dividend-discount model
Business
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

The required rate of return is 16%

Explanation:

The constant growth model of the DDM is used whenever the dividends are expected to grow at a constant rate in the future forever. The formula for the constant growth model to calculate the price of the share today is,

P0 = D1 / r-g

Where D1 is dividend next year or D0 *(1+g)

r is the required rate of return

g is the growth rate in dividends

Plugging in the available variables, we can calculate the required rate of return (r).

18.22 = 2.4 * (1+0.025) / r - 0.025

18.22 * (r-0.025) = 2.46

18.22r - 0.4555 = 2.46

18.22r = 2.46 + 0.4555

r = 2.9155 / 18.22

r = 0.1600 or 16.00%

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Answer:

A - If a bond sells at a​ discount, the yield to maturity is greater than the current yield

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Yield to maturity is the expected return if the bond is held till maturity. Current yiled is the return if the bond is sold today. There is an evident relationship between yield to maturity (TYM) and the current yield.  

“When a bond's market price is above par, which is known as a premium bond, its current yield and YTM are lower than its coupon rate. Conversely, when a bond sells for less than par, which is known as a discount bond, its current yield and YTM are higher than the coupon rate. Only on occasions when a bond sells for its exact par value are all three rates identical” (Bloomenthal, 2020).

According to the above statements, options C, B and D are eliminated. This leaves option A (If a bond sells at a discount, the yield to maturity is greater than the current yield) as the correct answer. This is true because YTM is calculated on purchase price rather than par value, if the purchase price is less than par value, the YTM will be greater than the current yield.  

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