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Equity Portfolio Management Professor Garvey Theory of Finance Portfolio Project Due Date: April 20, 2021 Project Must Be Completed Individually Step 1 – Data (Tab 1 of your spreadsheet) Select seven...

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Equity Portfolio Management
Professor Garvey Theory of Finance Portfolio Project
Due Date: April 20, 2021
Project Must Be Completed Individually

Step 1 – Data (Tab 1 of your spreadsheet)

Select seven exchange-traded funds (ETFs) from Blackrock http:
www.ishares.com/us. Be sure
to let me know (in your write-up) the name/ticker symbol of each ETF.

Obtain historical pricing data and compile monthly (at least 60) excess returns for each ETF. The
pricing data is available free on Internet sites (e.g., Yahoo Finance http:
finance.yahoo.com/) or
y using a Bloomberg terminal on campus. Be sure to let me know where you obtained the data.

Create your (Tab 1) spreadsheet with the seven columns of monthly risky asset excess returns
and the risk-free asset return. Your spreadsheet should also include a co
elation and covariance
matrix between the risky assets.

***3 extra credit points for test 1 – due April 1, 2021

Step 2 – Create the optimal risky portfolio using Solver (Tab 2 of your spreadsheet)

Follow Chapter 7 Appendix A
• Use average excess return of entire series (step 1) for Expected excess return

Determine the weights, mean, standard deviation and slope for the minimum variance portfolio,
optimal risky portfolio, and eight other portfolios that lie on the efficient frontier.

Your report should include (within the text):
• A co
elation matrix
• A covariance matrix
• A table with the weights, means, standard deviations, and Sharpe ratios (i.e., reward-to-
volatility ratio) for the ten portfolios that lie on the efficient frontier
• The risk premium along the CAL for the ten portfolios
• A graph of the efficient frontier and CAL

Step 3 – Capital allocation to the risk-free asset (using Y* formula)

Determine your coefficient of risk aversion and new portfolio weights. In your report, provide
your Y* calculation and mean/standard deviation of complete portfolio.

Step 4 – Report

Your write-up should describe the steps taken above to form the complete portfolio. Include
Tab 1 and Tab 2 Excel information at the end of your report but include summary results in your
write-up. If you are not able to complete Step 2, then use the same Expected excess returns
(and covariance matrix) in Chapter 7 Appendix. However, you must select eight different
portfolios on the efficient frontier and still show me (explain) your original Step 1 results.
http:
www.ishares.com/us
http:
finance.yahoo.com/
Answered 7 days After Apr 19, 2021

Solution

Shakeel answered on Apr 27 2021
157 Votes
To construct the portfolio, following, seven ETFs are selected –
1. iShares Core S&P 500 ETF (IVV)
2. iShares Core U.S. Aggregate Bond ETF (AGG)
3. iShares Russell 1000 Growth ETF (IWF)
4. iShares MSCI Emerging Markets ETF (EEM)
5. iShares TIPS Bond ETF (TIP)
6. iShares National Muni Bond ETF (MUB)
7. iShares MBS ETF (MBB)
Their monthly closing prices are taken June 2016 to April 2020. For the same period, the monthly closing price of SPDR Bloomberg Barclays 1-3 months T-bill ETF are taken to determine the risk free rate of return.
The monthly returns on all the ETFs are calculated by using the formula –
Ke    =    (Pt – Pt-1) / Pt-1. Where, Pt is the closing price at time t and Pt-1 is the closing price at time t-1.
The mean monthly and annual return and Std. deviations are calculated as given in table 1.
Table 1: Return and Std. deviation
    
    IVV
    AGG
    IWF
    EEM
    TIP
    MUB
    MBB
    ETF
    Mean return
    0.0139
    0.0027
    0.0178
    0.0110
    0.0033
    0.0027
    0.0020
    0.0008
    Std. deviation
    0.0441
    0.0101
    0.0462
    0.0488
    0.0106
    0.0117
    0.0065
    0.0011
    
    
    
    
    
    
    
    
    
    Avg. Annual return
    18.04%
    3.29%
    23.51%
    14.08%
    4.06%
    3.23%
    2.40%
    0.97%
    Std. Deviation
    15.27%
    3.52%
    16.01%
    16.89%
    3.66%
    4.05%
    2.25%
    0.37%
To construct the portfolio, the Co
elation matrix is prepared as given in table 2.
Table 2: Co
elation...
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