Question: Consider the following expected returns, volatilities, and correlations: Stock Expected Return Standard Deviation Correlation with IBM Correlation with Alphabet IMB 3% 5% 1.0 -1.0 Alphabet

Consider the following expected returns, volatilities, and correlations:

StockExpected ReturnStandard DeviationCorrelation with IBMCorrelation with Alphabet
IMB3%5%1.0-1.0
Alphabet10%20%-1.01.0

  1. Consider a portfolio consisting of only IBM and Alphabet. Calculate the percentage of your investment (portfolio weight) that you would place in IBM stock to achieve a risk-free investment. Show all your work.
  2. Based on your finding in Part (a), what is the expected return of your portfolio? What is the risk-free rate in this market, assuming the market is efficient and perfect?
  3. Consider a portfolio consisting of only IBM and Alphabet. Calculate the expected return and standard deviation on such a portfolio when the weight on IBM stock is 60%, 80%, and 100%.
  4. Based on your answer in Part (c), identify the efficient portfolios consisting of only IBM and Alphabet, when the weight on IBM stock is 60%, 80%, and 100%.

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SOLUTION a To achieve a riskfree investment we need to find the portfolio with zero standard deviation The formula for portfolio standard deviation is as follows Portfolio standard deviation sqrtw12 1... View full answer

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