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University of Utah *
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Course
4070
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Business
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Apr 3, 2024
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docx
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14
Uploaded by PrivatePelican1484
Department of Finance
David Eccles School of Business
University of Utah
Spring 2024
FINAN 4070-Investments
Please note that all guidelines below apply to all students and all projects. Guidelines are
nonnegotiable.
Guidelines for submissions:
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Projects can be submitted to Canvas from the time the assignment is posted until the deadline.
Project 1 must be submitted , submissions will close. No late projects will be accepted or
graded.
To ensure a project is turned in on time, please submit early, incomplete versions of
projects periodically leading up to the due date. Only the last project submission before the due
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graded.
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Hard copies of projects will not be accepted. Only digital submissions will be graded.
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You are expected to cite any and all sources used in the completion of this project. Anything
taken directly from the course notes or text should be quoted appropriately. An informal list of
resources at the end of the project write-up is sufficient for a works cited page. -
Turn in both a Microsoft Word document of your project write-up (fill in the blanks) and a
Microsoft Excel spreadsheet with your analysis by uploading them to Canvas. Only Word
documents and Excel spreadsheets will be accepted (no pdfs allowed). You are expected to show
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from your final grade. 1
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. Do not round intermediate calculations.
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the only person with whom you may discuss this project is me. All teams of students are
expected to perform the entire analysis (collecting data, analyzing data, and interpreting the
results) by themselves. Therefore, illicit collaboration on this project includes, but is not limited
to: sharing data between groups, sharing spreadsheets between groups, looking at another team’s
spreadsheet for “inspiration,” sharing write-ups between groups, discussing the answers to short-
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Any re-grade requests or challenges to grading must be submitted in writing within one week
following receiving your grade. 2
Project 1 Write-up Name(s) ________________________________________
Section I – Index creation and calculations
1.
You are creating an index with five stocks: McDonald's Corporation (MCD), Eli Lilly
and Company (LLY), Microsoft Corporation. (MSFT), Entergy Corporation (ETR), and
American Express Company (AXP).
Begin by downloading monthly prices from Yahoo!
Finance for all five stocks from 1/1/2019 to 12/31/2023. Compute the monthly holding
period returns to the securities. Fill in the following table with the first few rows of your
results: (4 Points)
Monthly Adjusted Close Prices
Date
MCD
LLY
MSFT
ETR
AXP
1/1/2019
158.4
110.4
98.98
73.10
95.3
2/1/2019
162.8
116.3
106.18
76.49
100.4
3/1/2019
169.3
120.1
112.26
79.17
101.9
4/1/2019
176.1
108.4
124.32
80.22
109.2
Monthly HPRs
Date
MCD
LLY
MSFT
ETR
AXP
1/1/2019
--
--
--
--
--
2/1/2019
2.83%
5.36%
7.27%
4.64%
4.90%
3/1/2019
3.29%
2.74%
5.27%
2.46%
1.44%
4/1/2019
4.03%
-9.80%
10.73%
1.32%
7.25%
2.
Calculate averages, sample standard deviations, and correlations using your HPRs. Fill
in the following table with your results: (4 Points)
MCD
LLY
MSFT
ETR
AXP
arithmetic average
121
319
248
76
153
geometric average
1.05000
%
2.85700%
2.28490%
0.53300%
1.14600
%
standard deviation 55.99
83.80
63.99
68.82
88.64
Correlations
MCD
LLY
MSFT
ETR
AXP
MCD
1
--
--
--
--
LLY
0.0933
1
--
--
--
3
MSFT
0.4564
0.3347
1
--
--
ETR
0.5960
-0.0579
0.3249
1
--
AXP
0.5300
-0.006
0.4080
0.3510
1
3.
Create a price-weighted index using your five stocks. What are the arithmetic and
geometric averages and sample standard deviation for your price-weighted index returns?
(4
Points)
arithmetic average = 191.12052
geometric average =0.01803
standard deviation =47.02617
4.
Create an equal-weighted index using your five stocks. What are the arithmetic and
geometric averages and sample standard deviation for your equal-weighted index returns?
(4
Points)
arithmetic average = 183.60391
geometric average = 0.01728
standard deviation =47.10242
5.
Calculate the number of shares you must have in each stock for each month for your
equal-weighted index returns, assuming an initial portfolio value of $1,000,000. How
many shares of each stock should you have for the first three months of the sample? The
last three months of the sample? Fill in the table below: (4 Points)
MCD
LLY
MSFT
ETR
AXP
1/1/2019
1263
1812
2021
2736
2098
2/1/2019
1228
1720
1883
2615
1992
3/1/2019
1182
1665
1782
2526
1964
10/1/2023
771
362
593
2141
1379
11/1/2023
718
339
530
2019
1175
12/1/2023
678
344
533
2000
1071
6.
Create a market-value weighted index. Assuming you have 40 shares of MCD, 45 shares
of LLY, 50 shares of MSFT, 20 shares of ETR, and 35 shares of AXP. What are the
arithmetic and geometric averages and sample standard deviation for your market value-
weighted index returns? (4 Points)
arithmetic average = 204.89281
geometric average = 0.01937
standard deviation = 47.98575
4
7.
For which index is your average return greater, price-weighted or equal-weighted? Why?
(Hint: a complete answer will include a very specific discussion of your numbers. You
may want to support your assertions with calculations.) (4 Points)
The price-weighted index has a higher average return than the equal-weighted index, with
arithmetic averages of 191.12052 and 183.60391 respectively. Whereas, in terms of
geometric averages, the equal- weighted index outperforms the price-weighted index,
with values of 103 and 96.5. it is noticed, the price-weighted index exhibits no much
volatility, as indicated by its standard deviation of 47.02617 compared to 47.10242 for
the equal-weighted index.
This difference in performance can be attributed to the price-weighted index giving more
weight to higher-priced stocks, potentially capturing stronger-performing stocks. In
contrast, the equal-weighted index assigns the same weight to each stock, which might
dilute the impact of high performers. Thus, in this scenario, the price-weighted index
demonstrates better performance in terms of average returns and volatility.
8.
For which index is your average return greater, price-weighted or market-value-
weighted? Why? (Hint: a complete answer will include a very specific discussion of
your numbers. You may want to support your assertions with calculations.) (4 Points)
The average return for the price-weighted index (191.12052) is lower than that of the
market value-weighted index (204.89281). This is because the Market weighted index
considers market capitalization, which may fully capture the price movements of
individual stocks with higher prices.
9.
For which index is your average return greater, equal-weighted or market-value-
weighted? Why? (Hint: a complete answer will include a very specific discussion of
5
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