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The document you uploaded contains a series of portfolio management exercises related to risk and return. It covers topics like stock price analysis, calculating returns, variances, and covariances, and finding the minimum variance portfolio. Here's a brief outline of the exercises:

1. **Exercise 1:**
   - Calculate the return for each stock over different periods.
   - Determine the expected return and standard deviation for each stock.
   - Compute the correlation coefficients between different stock combinations.

2. **Exercise 2:**
   - Use a variance-covariance matrix to find the risk of an equally-weighted portfolio and determine the covariance for a single-asset portfolio.

3. **Exercise 3:**
   - Calculate the expected returns, variances, and covariances for stocks A and B.
   - Find the minimum variance portfolio for a two-stock combination.

4. **Exercise 4:**
   - Solve a minimization problem for a three-stock portfolio to find the minimum variance portfolio.
   - Evaluate whether an expected return should be imposed as a constraint.

5. **Exercise 6:**
   - For a two-stock equally-weighted portfolio, calculate the expected return and variance.
   - Determine the minimum variance portfolio.

Would you like me to work through any specific exercise from this document? Feel free to ask for details on any of them.

### Follow-up questions:
1. Would you like help solving Exercise 1's return calculations?
2. Do you need assistance with the variance-covariance matrix in Exercise 2?
3. Should I explain how to find the minimum variance portfolio in Exercise 3 or 4?
4. Do you want details on how to calculate expected returns and risk for multiple assets?
5. Are you interested in portfolio theory concepts like the efficient frontier from Exercise 7?

#### Tip:
For multi-asset portfolios, always start by calculating individual asset statistics (expected return, variance) before combining them into a portfolio.

The document you uploaded contains a series of portfolio management exercises related to risk and return. It covers topics like stock price analysis, calculating returns, variances, and covariances, and finding the minimum variance portfolio.

Explore portfolio management exercises covering stock price analysis, expected returns, variances, covariances, and finding the minimum variance portfolio. This resource provides step-by-step solutions using key formulas in risk-return calculations and Markowitz portfolio theory. Suitable for undergraduate students in finance.

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