The risk free rate is 4%, and the required return on the market is 12%. 1. What is the required return on an asset A with a beta of 1.5?2. What is the reward/risk ratio?3. What is the required return on a portfolio consisting of 40% of the asset above and the rest in an asset with an average amount of systematic risk?

Respuesta :

Answer:

required return 16%

risk/reward  8%

portfolio return 13.60%

Explanation:

Required return=risk-free rate+beta*(market return-risk free rate)

risk-free rate=4%

beta=1.5

market return=12%

required return=4%+1.5*(12%-4%)=16.00%

Reward/risk ratio=market return-risk free rate

reward/risk ratio=12%-4%=8%

Portfolio return=weight of the asset* required return on asset+weight of the rest of the portfolio*market return

weight of the asset=40%

required return=16%

weight of the rest of the portfolio=1-40%=60%

market return=12%

portfolio return=(40%*16%)+(60%*12%)=13.60%

The risk-free rate is termed as the return that is associated with the investment with zero or no risk. It represents the number of investors that would expect a higher return from no-risk investment over a specified period of time.

The answers are:

required return 16%

risk/reward  8%

portfolio return 13.60%

[tex]\begin{aligned}\text{Required return}=\text{risk-free rate}+\text{beta}\times(\text{market return-risk free rate})\end{aligned}[/tex]

risk-free rate=4%

beta=1.5

market return=12%

[tex]\begin{aligned}\text{required return}=4\%+1.5\times(12\%-4\%)=16.00\%\end{aligned}[/tex]

[tex]\begin{aligned}\frac{Reward}{risk}\end{aligned}[/tex] ratio=market return-risk free rate

[tex]\begin{aligned}\frac{\text{reward}}{\text{risk ratio}}=12\%-4\%=8\%\end{aligned}[/tex]

Hence the [tex]\begin{aligned}\frac{Reward}{risk}\end{aligned}[/tex]  ratio is 8%

Portfolio return=[tex]\text{weight of the asset}\times\text{ required return on asset}+\text{weight of the rest of the portfolio}\times{\text{market return}}[/tex]

weight of the asset=40%

required return=16%

weight of the rest of the portfolio=1-40%=60%

market return=12%

portfolio return=[tex](40\%*16\%)+(60\%\times12\%)=13.60\%[/tex]

Therefore the required return on a portfolio is 13.60%.

To know more about the risk-free rate, refer to the link below:

https://brainly.com/question/20166183

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