4) Johnson & Johnson and Walgreen Company have a correlation of 16% and expecte returns and standard deviations as shown below. E(r) σ Johnson & Johnson 8% 17% Walgreen Company 11% 21% a) Calculate the expected return and volatility of a portfolio that is equally invested in the two stocks that consists of a long position of $12,000 in Johnson & Johnson and a sho position

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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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4)
Johnson & Johnson and Walgreen Company have a correlation of 16% and expected
returns and standard deviations as shown below.
E(r)
Johnson & Johnson
8%
17%
Walgreen Company
11%
21%
a) Calculate the expected return and volatility of a portfolio
- that is equally invested in the two stocks
that consists of a long position of $12,000 in Johnson & Johnson and a short
position
of $4,000 in Walgreen.
b) Calculate the expected return and volatility of a portfolio of Johnson & Johnson and
Walgreen using a wide range of portfolio weights. Plot the expected return as a function
of the portfolio volatility. Using your graph, identify the range of portfolio weights that
yield efficient combinations of the two stocks rounded to the nearest percentage point.
Transcribed Image Text:4) Johnson & Johnson and Walgreen Company have a correlation of 16% and expected returns and standard deviations as shown below. E(r) Johnson & Johnson 8% 17% Walgreen Company 11% 21% a) Calculate the expected return and volatility of a portfolio - that is equally invested in the two stocks that consists of a long position of $12,000 in Johnson & Johnson and a short position of $4,000 in Walgreen. b) Calculate the expected return and volatility of a portfolio of Johnson & Johnson and Walgreen using a wide range of portfolio weights. Plot the expected return as a function of the portfolio volatility. Using your graph, identify the range of portfolio weights that yield efficient combinations of the two stocks rounded to the nearest percentage point.
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