Answer:
The answer is "[tex]10\%[/tex]".
Explanation:
You are equivalent investors in 16 percent of a portfolio and 4 percent of a risk-free asset. A weighted mean of these two will become the predicted return.
[tex]= \text{(Portfolio weight} \times \text{Return portfolio)} + \text{(Portfolio weight}\times \text{risk-free)}\\\\[/tex]
[tex]= (0.5 \times 16\%) + (0.5 \times 4\%)\\\\= (0.5 \times \frac{16}{100}) + (0.5 \times \frac{4}{100})\\\\= \frac{8}{100} + \frac{2}{100}\\\\= \frac{8+2}{100}\\\\= \frac{10}{100}\\\\= \frac{1}{10}\\\\= \frac{1}{10} \times 100\\\\=10\%[/tex]