You have ​$57 comma 000. You put 15​% of your money in a share with an expected return of 11​%, ​$31 comma 000 in a share with an expected return of 15​% and the rest in a share with an expected return of 20​%. What is the expected return of your​ portfolio?
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Part 1
The expected return of your portfolio is

enter your response here​%

To calculate the expected return of the portfolio, we'll use the weighted average formula based on the investments in each share and their respective expected returns.

### Step-by-Step Breakdown:
1. **Total investment** = \$57,000.
   
2. **Investment allocations**:
   - 15% of \$57,000 goes into the first share with an expected return of 11%.  
     $0.15 \times 57,000 = 8,550$ invested.
   - \$31,000 goes into the second share with an expected return of 15%.
   - The remaining amount goes into the third share with an expected return of 20%.
     $57,000 - 8,550 - 31,000 = 17,450$ invested in the third share.

3. **Expected returns**:
   - The return from the first share:  
     $8,550 \times 0.11 = 940.5$
   - The return from the second share:  
     $31,000 \times 0.15 = 4,650$
   - The return from the third share:  
     $17,450 \times 0.20 = 3,490$

4. **Total expected return**:
   Add the returns from all three shares:  
   $940.5 + 4,650 + 3,490 = 9,080.5$

5. **Portfolio's expected return percentage**:
   The expected return as a percentage of the total investment is:  
   \[
   \left( \frac{9,080.5}{57,000} \right) \times 100 \approx 15.93\%
   \]

Thus, the expected return of your portfolio is **15.93%**.

Would you like further details on any of the steps, or have additional questions?

Here are 5 related questions to explore:
1. How do you calculate the weighted average return for a portfolio?
2. What is the importance of diversification in portfolio management?
3. How does changing the proportion of investment in each share affect the expected return?
4. What is the difference between expected return and actual return?
5. How do risk and return relate in investment portfolios?

**Tip**: Always ensure your portfolio is well-diversified to balance both risk and expected returns.

You have ​$57,000. You put 15​% of your money in a share with an expected return of 11​%, ​$31,000 in a share with an expected return of 15​% and the rest in a share with an expected return of 20​%. What is the expected return of your​ portfolio?

Learn how to calculate the expected return of a portfolio with investments of $57,000. This problem involves allocating funds across shares with different expected returns (11%, 15%, 20%) and using the weighted average formula to find the overall portfolio return. Ideal for students in Grades 11-12 or college level finance courses.

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