Answer: The expected annual return of this portfolio is 12%.
Explanation:
Given that,
Total value of portfolio = $50,000
$25,000 will be invested in asset R and expected annual return of 12 percent
$10,000 will be invested in asset J, with an expected annual return of 18 percent
$15,000 will be invested in asset K, with an expected annual return of 8 percent
Expected return is the sum of their investment portfolio times their expected returns.
Return on portfolio = [tex]\frac{25000}{50000}\times0.12 + \frac{10000}{50000}\times0.18 + \frac{15000}{50000}\times0.08[/tex]
= 0.06 + 0.036 + 0.024
= 0.12
= 12%
∴ The expected annual return of this portfolio is 12%.