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Pachacha [2.7K]
3 years ago
14

The risk-free rate is 5.4 percent and the market risk premium is 5 percent. Assume that required returns are based on the CAPM.

Your $1 million portfolio consists of $ 218 ,000 invested in a stock that has a beta of 0.5 and the remainder invested in a stock that has a beta of 1.4 . What is the required return on this portfolio?
Business
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

11.419%

Explanation:

Given that,

Risk-free rate = 5.4

Market risk premium = 5

Portfolio = $1 million = $1,000,000

Amount invested in stock A = $218,000

Beta A = 0.5

Amount invested in stock B = $1,000,000 - $218,000

                                              = $782,000

Remainder invested in stock B that has a beta = 1.4

Portfolio beta:

= [(Amount in A × Beta of A) + (Amount in B × Beta of B)] ÷ Total Amount

= [($218,000 × 0.5) + ($782,000 × 1.4)] ÷ $1,000,000

= ($109,000 + $1,094,800) ÷ $1,000,000

= 1.2038

Required return:

= Risk free rate + (Beta × Market risk premium)

= 5.4% + (1.2038 × 5%)

= 5.4% + 6.019%

= 11.419%

Therefore, the required return on this portfolio is 11.419%

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Explanation:

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Answer:

$1.25

Explanation:

dividend growth:

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1                          24%                  Div₁ = 1.24Div₀

2                         24%                  Div₂ = 1.24²Div₀ = 1.5376Div₀

3                         24%                  Div₃ = 1.24³Div₀ = 1.906624Div₀

4                          14%                  Div₄ = 1.906624Div₀ x 1.14 = 2.17355136Div₀

indefinite              8%                  Div₅ = 2.17355136Div₀ x 1.08 = 2.347435Div₀

required rate of return = 10%

current stock price = $86

stock price for terminal growth rate = Div₅ / (10% - 8%) = Div₅ / 2% = 117.3717734Div₀

current stock price = $86 = 1.24Div₀/1.1 + 1.5376Div₀/1.1² + 1.906624Div₀/1.1³ + 2.17355136Div₀/1.1⁴ + 117.3717734Div₀/1.1⁴ = 1.12727Div₀ + 1.27074Div₀ + 1.43247Div₀ + 1.48456Div₀ + 80.1665Div₀ = 85.48154Div₀

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Div₀ = $86 / 85.48154 = $1.006065

Div₁ = 1.24 x $1.006065 = $1.2475 ≈ $1.25

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