Question

a share of stock is now selling for $90. it will pay a dividend of $10 per share at the end of the year. its beta is 1.0. what must investors expect the stock to sell for at the end of the year? assume the risk-free rate is 4% and the expected rate of return on the market is 18%.

Answer 1

Investors anticipate that the stock will trade at $96.21 at the end of the year.

In line with CAPM

Required rate of Return (Ke) = Rm - (E(Rm) - Rf) * Beta

Rf = the risk-free rate.

E(Rm) stands for the expected rate of return on a market portfolio.

Ke = 4% + 1 * (18% - 4%) follows.

= 4% + 14% = 18%

now utilizing Gordon Growth Model

The stock's price is D1/ (Ke- g)

where D1 is the dividend for the next year.

g = Rate of Growth

90 = 10 / (18% - g)

g = 18% - 10/90 = 18% - 11.11% = 6.89%

Price anticipated at the year-end = D2 (Ke- g)

D2 = D1 * (1 + g) = 10 * (1 + 6.89%) = $10.689

Expected Price at the end of the year is equal to 10.689/ (18% - 6.89%), or 10.689/11.11%, or $96.21.

Investors anticipate that the stock will trade at $96.21 at the end of the year.

what is a market portfolio?

The term "market portfolio" refers to a portfolio that includes the weighted total of each item traded on the market, with the required supposition being that these assets are endlessly divisible.

learn more about it market portfolio-brainly.com/question/28005592

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