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ECON47815 – ECONOMETRIC METHODS 2019/2020 Masters Programmes

SUMMATIVE ASSIGNMENT

For this assignment you must complete either Project A or Project B.

Project A:

Use the Dataset_#mutual.xls corresponding to your Z#####.

To complete this assignment, you will need the returns of the mutual fund # and the factors

in the Dataset_#mutual.xls. The variable names and the descriptions of the variables are

as follows:

Variable Names Descriptions

MutualFund1_#_ret Returns of the mutual fund 1

MutualFund2_#_ret Returns of the mutual fund 2

CRSP index Market Index

1-month T-Bill Risk free rate

ExRm CRSP index minus 1-month T-Bill

SMB Small (market capitalization) minus big factor

HML High (book-to-market ratio) minus low factor

MoM Momentum factor (long prior-month winners and short prior-month

losers)

TradedLIQ Traded liquidity factor

Question: (a). Estimate an appropriate CAPM model describing the return of the mutual

funds as a function of some or all factors above: CRSP index, 1-month T-Bill , ExRm ,

SMB , HML , MoM and TradedLIQ. Carry out and report the necessary statistical tests to

justify the choice of your specification. Discuss any found issues with respect to omitted

variable bias.

(b). Compare the performances of the two funds and the exposure of the portfolios to

different risk factors by comparing relevant coefficients (such as the intercept and slopes) of

the models through appropriate tests.

The following references will be useful when you interpret and compare the coefficients.

Fama, Eugene F.; French, Kenneth R. (1993). “Common Risk Factors in the Returns on

Stocks and Bonds”. Journal of Financial Economics 33 (1): 3–56

ECON47815 – ECONOMETRIC METHODS 2019/2020 Masters Programmes

2019/2020 Masters

Programmes

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Fama, Eugene F.; French, Kenneth R. (1992). “The Cross-Section of Expected Stock

Returns”. Journal of Finance 47 (2)

Pastor, Lubos & Stambaugh, Robert F., 2003. “Liquidity Risk and Expected Stock Returns,”

Journal of Political Economy, University of Chicago Press, vol. 111(3)

End of Project A

Project B:

Use the Dataset_#fish.xls corresponding to your Z#####.

In this project you will estimate the demand for Cod (a saltwater fish). To complete this

assignment, you will use the 300 weekly observations on the quantity of Cod purchased, the

price of Cod, the price of Chicken, the price of Beef, Weekly Income, the average body mass

index (BMI), and the average water temperature in the North Atlantic Ocean (where Cod are

cultivated). You will find these 300 observations in the Dataset_#fish.xls file.

Question:

(a) Produce a scatterplot of price and quantity demanded of Cod. Set aside the

variable “average water temperature.” Estimate the household demand function

for Cod as a function of the price of Cod, Weekly Income, the price of Beef, and

some or all of the other provided variables. Carry out and report the necessary

statistical tests to choose your specification. Report the estimated own price

elasticity, estimated income elasticity of demand, and the cross-price elasticity of

demand with Beef. Discuss any found issues with respect to omitted variable

bias.

(b) Suppose the price of Cod is determined by simultaneous solution of the market

supply and demand of Cod. Discuss how this is problematic for your estimate of

the own price of elasticity for Cod. Use the variable “average water temperature”

to obtain a new estimate of the own price elasticity of Cod. Evaluate whether

“average water temperature” is an appropriate instrument.

End of Project B

Overall word limit, 1000 words maximum.

The word count should:

 Include all the text, including title, preface, introduction, in-text citations, quotations,

footnotes and any other item not specifically excluded below.

 Exclude diagrams, tables (including tables/lists of contents and figures), equations,

executive summary/abstract, acknowledgements, declaration, bibliography/list of

ECON47815 – ECONOMETRIC METHODS 2019/2020 Masters Programmes

2019/2020 Masters

Programmes

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references and appendices. However, it is not appropriate to use diagrams or tables

merely as a way of circumventing the word limit. If a student uses a table or figure as

a means of presenting his/her own words, then this is included in the word count.

Examiners will stop reading once the word limit has been reached, and work beyond this

point will not be assessed. Checks of word counts will be carried out on submitted work,

including any assignments or dissertations/business projects that appear to be clearly over-

length. Checks may take place manually and/or with the aid of the word count provided via

an electronic submission. Where a student has intentionally misrepresented their word

count, the School may treat this as an offence under Section IV of the General Regulations

of the University. Extreme cases may be viewed as dishonest practice under Section IV, 5

(a) (x) of the General Regulations.

Very occasionally it may be appropriate to present, in an appendix, material which does not

properly belong in the main body of the assessment but which some students wish to

provide for the sake of completeness. Any appendices will not have a role in the assessment

– examiners are under no obligation to read appendices and they do not form part of the

word count. Material that students wish to be assessed should always be included in the

main body of the text.

YOUR COMPLETED ASSIGNMENT MUST BE SUBMITTED TO DUO NO LATER THAN

11.59AM ON 13 DECEMBER 2019.

MARKING GUIDELINES

Performance in the summative assessment for this module is judged against the following

criteria:

 Relevance to question

 Organisation, structure and presentation

 Depth of understanding

 Analysis and discussion

 Use of sources and referencing

 Overall conclusions

ECON47815 – ECONOMETRIC METHODS 2019/2020 Masters Programmes

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Students should use the template on DUO for their assignments.

The word count should include all the text (plus endnotes and footnotes), but exclude

diagrams, tables, bibliography, references and appendices. Guidance on referencing can be

found in your Assessment handbook under ‘Things you Need to Know’ on DUO.

The assignment which you submit on-line should INCLUDE all appendices

PLAGIARISM and COLLUSION

Students suspected of plagiarism, either of published work or work from unpublished

sources, including the work of other students, or of collusion will be dealt with according to

Business School and University guidelines.

Your assignment will be put through the plagiarism detection service.

mutual (115)

MonthMutualFund1_AA_retMutualFund2_BB_retCRSP index1-month T-BillExRmSMBHMLMoMTradedLIQ
1-0.1447-0.478-0.00310.0055-0.00860.00170.0460.13950.1159
20.40280.3540.0193-0.00430.02360.0358-0.0192-0.173-0.0113
3-0.13780.04290.0066-0.01550.0221-0.0189-0.0396-0.13380.0726
4-0.59030.0483-7.00E-040.0139-0.0146-0.02160.00770.0233-0.0473
50.11560.06040.0019-0.00170.0037-0.0569-0.01630.09140.0516
6-0.387-0.2749-0.0038-0.0018-0.002-0.0384-0.02530.0606-0.0902
70.0262-0.0192-0.00360.0069-0.01050.0013-0.0064-0.0015-0.1217
80.1733-0.1231-0.0012-0.02820.02690.01440.01890.0655-0.0767
9-0.5624-0.47190.01280.0155-0.00270.03930.011-0.0141-0.0982
10-0.57860.09250.0064-0.00410.0105-0.0307-0.0039-0.09870.0386
11-0.0211-0.03420.0091-0.01510.02420.0340.0629-0.0042-0.1443
120.4949-0.1787-0.0119-0.01980.0079-0.00380.0190.0773-0.026
13-0.02010.13330.00290.005-0.0021-7.00E-040.0459-0.05460.0469
140.8702-0.352-0.02870.0031-0.03180.06230.00690.22530.0463
15-0.39610.4913-0.0051-0.01730.01220.02350.0112-0.0923-0.0085
160.15780.12990.0046-0.00750.012-0.0016-0.01420.04750.0582
17-0.3684-0.1490.01020.0542-0.0440.0417-0.0111-0.0283-0.0156
180.1709-0.27170.0048-0.0070.0118-0.0328-0.0362-0.09990.0462
190.36840.0643-0.00340.0108-0.01420.0356-0.00870.11050.0897
20-0.0104-0.20830.01490.0168-0.00190.04690.0285-0.0860.1717
210.016-0.1632-0.00190.0625-0.06440.02060.00330.0781-0.0666
22-0.3862-0.31310.00140.0201-0.01873.00E-04-0.0054-0.0102-0.1368
23-0.22860.1649-0.01520.0254-0.0406-0.0166-0.00340.06140.1057
24-0.35230.47310.0011-0.01250.01350.00410.0077-0.00810.0623
25-0.33680.0768-0.00280.0157-0.01850.0024-0.0567-0.01570.0607
260.2633-0.1028-0.0028-0.002-8.00E-04-0.05550.03220.01450.1077
27-0.2678-0.19320.00540.0319-0.0265-0.00620.0556-0.0535-0.0453
28-0.3950.24250.00610.0145-0.00840.02610.01390.01420.1706
290.3046-0.10660.0032-0.00990.0131-4.00E-040.0105-0.0343-0.0318
300.19410.12110.0041-0.02110.0252-0.0260.0230.03720.0944
310.08960.0851-0.0091-0.0090-0.058-0.02490.1045-0.0703
320.23680.41460.0102-0.05220.06240.015-0.00130.0855-0.0482
330.325-0.0848-0.00440.0056-0.01-0.0221-0.0430.206-0.0943
340.52460.0309-0.01520.0184-0.03370.01620.03830.00830.0113
350.2313-0.3838-0.0026-8.00E-04-0.0017-0.02310.05970.0677-0.1391
360.06090.3912-0.01260.0139-0.02650.0072-0.05380.1490.1121
37-0.75620.24070.0113-0.01960.0309-0.02160.07-0.03550.1233
38-0.14810.37472.00E-04-0.0230.02330.0090.00220.03450.1363
390.41890.03410.0060.0283-0.02230.02850.0327-0.11340.0809
40-0.32320.4490.015-0.02710.0421-0.04170-0.0490.0508
41-1.8367-0.33160.00860.0329-0.0243-0.0448-0.0307-0.0967-0.006
420.1447-0.51940.00230.0474-0.04520.01670.0033-0.06570.1572
43-0.18770.1598-0.00430.0151-0.0194-0.0160.0220.02360.0034
44-0.035-0.4369-0.00440.0106-0.015-0.0456-0.00230.0362.00E-04
450.37220.1945-0.01640.0037-0.02010.00280.00450.1732-0.0416
46-1.18250.25367.00E-04-0.01390.0147-0.0130.0067-0.07950.0287
47-0.1442-0.10060.01230.0201-0.0078-0.0267-0.0174-0.10470.1085
480.1025-0.0407-0.01510.0143-0.0294-0.0250.00410.199-0.1197
490.60650.48410.0018-0.00490.0067-0.03820.0014-0.06370.0529
50-0.3929-0.0560.0136-0.02160.0352-0.02350.0242-0.0749-0.0704
510.1011-0.08830.00560.0087-0.0031-0.02510.0707-0.0061-0.0858
520.32980.52810.0018-0.01610.01790.00580.04530.0425-0.0198
53-0.3740.0492-0.00130.015-0.0163-0.00480.02150.0037-0.0845
540.18090.4075-0.0222-0.02-0.00210.0036-0.06760.15320.1034
550.021-0.07980.00350.0351-0.03160.07220.0476-0.12290.1956
56-0.61590.54760.0146-0.00960.0242-0.03290.0369-0.20890.0626
570.76430.1971-0.01090.029-0.0398-0.05130.02330.14270.1318
58-0.93640.12230.01590.00870.0072-0.0298-0.0152-0.13620.1062
590.62210.1723-0.0148-0.0102-0.0046-0.0331-0.02320.1772-0.027
60-0.1060.270.0117-0.03290.04460.00960.03890.009-0.087
61-0.3037-0.4018-0.00340.032-0.0354-0.01880.11270.01190.0405
62-0.1323-0.0062-0.0012-0.01260.0114-0.01820.0187-0.0109-0.0173
630.1901-0.0964-0.01050.0037-0.01420.01540.0260.07820.0518
640.178-0.2052-0.00130.0021-0.0034-0.02080.0162-0.03130.0124
65-0.0593-0.59650.00530.0391-0.03380.02630.0128-0.044-0.2677
660.2540.3204-0.01270.0403-0.053-0.01340.00790.0335-0.044
670.11010.665-0.0077-0.03880.03120.03070.00520.02810.0676
680.1498-0.01720.00450.005-4.00E-044.00E-040.0328-0.05530.0699
69-0.26130.2039-0.00860.0162-0.0248-0.01920.06660.07970.17
70-0.08930.3350.0085-0.00660.0151-0.0046-0.03170.00860.0597
710.02010.04390.00410.0226-0.0185-0.00510.0471-0.05650.1036
72-0.6224-0.08640.0163-0.00860.025-0.01920.0306-0.06580.057
730.12370.0704-0.00770.0414-0.04910.06570.0630.20220.0824
74-0.90190.42030.0185-0.01220.03070.04290.0362-0.19410.1312
750.2455-0.1917-7.00E-040.0147-0.01540.004-0.05750.07410.0093
76-0.33850.0436-0.00640.024-0.03040.0187-0.01780.0141-0.0115
770.9446-0.09970.00630.00490.0014-0.0064-0.0154-0.0362-0.0409
78-0.50320.2602-0.0053-0.003-0.00220.03550.02910.1573-0.1062
790.03170.29830.01080.0291-0.0183-9.00E-040.0181-0.11960.1523
800.42870.15850.00650.0072-7.00E-040.0106-0.0383-0.1110.0013
81-0.254-0.1202-0.01580.0284-0.04420.02850.00410.1188-0.0029
82-0.1216-0.209-0.0027-0.01420.01140.01860.05190.0861-0.0301
830.1826-0.1638-0.00570.0234-0.0291-0.0209-0.01250.15520.0147
840.27280.1354-0.00220.02-0.02220.0250.00680.02310.0023
850.102-0.24340.0071-0.04590.0530.0410.033-0.08140.0679
861.05470.5330.00560.0501-0.0445-0.03760.01930.04880.0631
87-0.59550.1803-0.0056-0.00970.00410.00470.00990.0338-0.0615
880.8692-0.16120.0156-0.00130.01691.00E-040.0291-0.0437-0.1303
89-0.14090.1596-0.00170.0019-0.00360.04010.0620.04060.1238
90-0.24090.17410.0018-0.01250.01430.003-0.07420.06150.1329
910.0603-0.1118-0.00550.0101-0.0157-0.00240.04090.1994-0.0665
920.2666-0.206-0.0129-0.0066-0.00630.012-0.03330.04560.044
93-0.3190.1543-0.0064-0.0045-0.00190.01430.01910.0650.0482
940.02630.0622-0.00220.0262-0.0285-0.05770.0234-0.0249-0.1774
95-1.0692-0.00390.0018-0.0040.0058-0.02910.0028-0.20330.1608
96-0.51060.2431-0.00750.0177-0.0252-0.0428-0.02950.1044-0.0382
970.4431-0.05420.0046-0.0290.03370.0611-0.008-0.0098-0.0492
98-0.1113-0.2597-0.00590.0398-0.0457-0.02910.04820.05220.1281
990.19860.1818-0.0066-0.0046-0.0021-0.0290.00880.02710.041
1000.02690.25140.0049-0.00710.012-0.00660.0372-0.0427-0.035
1010.35010.3219-0.00310.0115-0.01460.012-0.0155-0.17210.0849
102-0.0937-0.3538-0.0070.0246-0.0316-0.02850.00890.10040.0021
103-0.37920.609-0.00450.0096-0.0141-0.06960.0264-0.1250.0683
1040.6071-0.10060.0038-0.03620.040.02220.0473-0.08190.0196
105-0.1939-0.0343-0.00150.0057-0.0072-0.03260.0388-0.04840.0434
1060.11810.0748-0.0064-0.00651.00E-040.034-0.02560.1-0.0312
107-0.61430.07930.0036-0.02220.02580.0247-0.0285-0.06630.0372
108-0.08450.19410.00230.0117-0.0094-0.0130.0137-0.0089-0.0712
109-0.18820.3373-0.00610.0188-0.0249-0.01850.0114-0.0423-0.1056
110-0.1187-0.038-0.0178-0.02870.0109-0.00250.01880.0791-0.1096
1110.2824-0.35660.00310.0546-0.05160.01690.00260.0244-0.0832
1120.48780.19110.00130.0116-0.01030.04570.0199-0.0261-0.0202
113-0.24040.4778-0.0011-0.01310.0121-0.00730.0011-0.10110.1022
1140.8825-0.04740.0105-0.01570.02620.00630.002-0.0728-0.0992
115-0.16120.04880.0140.0176-0.00360.012-0.0283-0.18970.0075
116-0.34910.2342-7.00E-04-0.0140.01320.00990.0221-0.15460.1745
117-0.32690.0402-0.01-0.01330.003300.03060.10830.0343
1180.0422-0.3656-0.0063-0.0039-0.0023-0.0010.01030.21110.0862
119-0.43860.64480.0164-0.02380.0402-0.006-0.0038-0.1080.1917
120-0.47760.2091-0.0030.0245-0.02740.03280.03950.13310.0415
1210.8967-0.49970.00350.0206-0.0172-0.01180.04180.09-0.1154
122-0.283-0.2730.01130.0212-0.01-0.08930.0122-0.02460.019
123-0.63440.11170.01350.00690.0066-0.0331-0.00450.0634-0.0595
1241.1043-0.23620.01250.0582-0.0457-0.0618-0.0280.0333-0.0393
125-1.07250.18770.0118-0.0280.03989.00E-04-0.0046-0.22860.251
126-0.10580.15950.00310.0199-0.0168-0.00586.00E-040.0371-0.027
127-0.30530.2376-0.01110.0314-0.04253.00E-040.0050.16840.0637
128-0.0267-0.1117-0.01450.0071-0.0216-0.02870.01550.1667-0.1056
129-0.18490.16380.02140.010.0113-0.00980.0276-0.30780.0776
130-0.04590.2804-0.01280.0221-0.0349-0.001-0.01180.12910.0914
1310.1059-0.02780.01160.0147-0.0030.0180.0174-0.0607-0.1138
1320.3845-0.3372-0.00250.0483-0.0507-0.01710.04130.0532-0.1727
1330.3145-0.32830.00650.00410.00240.02510.00650.0309-0.04
1340.425-0.0211-0.0116-0.0094-0.0021-0.02470.00340.12820.1057
1350.5997-0.1996-0.0020.0153-0.01720.0301-0.0763-0.0623-0.0613
1360.4644-0.72030.00890.0717-0.06270.01260.00490.0755-0.0469
137-0.2171-0.2340.0088-0.02120.030.0233-0.0253-0.0122-0.0104
138-0.14190.24080.00240.0144-0.012-0.0431-0.02040.03080.1114
1391.03790.0498-0.01810.0264-0.0446-0.0036-0.03190.24980.025
1400.27140.013-0.00790.003-0.0109-0.0164-0.00210.0857-0.0808
1410.5601-0.0247-0.0047-0.01970.015-0.0235-0.00790.15630.0053
142-0.1391-0.4063-0.0032-0.01190.0087-0.01460.02260.0691-0.0457
143-0.619-0.26650.00390.0226-0.01860.04990.03440.06380.0678
144-0.3583-0.07760.00260.0394-0.0367-0.02330.01120.035-0.0219
1450.07270.454-0.0020.0239-0.02599.00E-040.04430.0890.0642
1460.45010.51340.01340.0443-0.0309-0.0275-0.02210.043-0.0068
1470.5339-0.1529-0.00270.0236-0.02640.0378-0.0610.0502-0.1161
1480.14180.1016-0.0110.0154-0.0264-0.014-0.03180.1523-0.0697
1490.22680.0275-0.00780.0198-0.02760.0066-0.00380.0581-0.0292
150-0.3507-0.1591-0.01150.0111-0.0225-0.03170.03690.1160.0491
151-0.7994-0.02080.00230.004-0.0017-0.0025-0.02410.0528-0.0805
152-0.0428-0.03440.01110.037-0.0259-0.01340.0392-0.0438-0.0815
1530.420.1937-1.00E-040.0172-0.01730.03360.0064-0.0171-0.0016
154-0.07690.0668-0.01050.0161-0.02650.05140.01420.1449-0.0936
155-0.501-0.2009-0.00470.0049-0.0096-0.02610.02080.0751-0.0472
156-0.41430.00370.0086-7.00E-040.00930.0269-0.0175-0.2370.1257
1570.03870.237-0.00440.0305-0.035-0.01770.0409-0.02080.0968
158-0.8141-0.1062-0.00485.00E-04-0.0053-0.0507-0.02920.0294-0.058
159-0.343-0.0382-0.00820.0046-0.0128-0.03760.03730.15680.0146
160-0.066-0.19290.0016-0.04120.0427-0.03490.05850.05480.0409
161-0.5085-0.26370.0107-0.01550.0262-0.0186-0.0371-0.10570.0103
1620.4267-0.03540.0040.00210.002-0.0063-0.02380.0365-0.0337
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