FIN 3080 Investment Analysis and Portfolio Management
Spring 2024 | CUHK (SZ)
Assignment III
Due: 23:59, April 19, 2024
Disciplines
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Adelayedorincompletesubmissionbeforethesuggestedsolutionisreleasedwillresultinadeduction of few points. No submission or submission after the suggested solution is released will result in a deduction of all points.
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A complete submission must include two files: (i) a typed PDF file (1.5-spaced, 11pt, no longer than 5 pages) including your arguments, tables and figures in English (excluding your codes), and (ii) a compressed package named “YourID_YourName” containing one or multiple code files that generate the empirical results in your PDF file.
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You may discuss with your peers but plagiarism and fabrication are strictly prohibited and will be directly reported to the Registry Office.
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You may choose any programming languages to finish the assignment. Excel is not considered as a programming language.
Problems
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Please download daily Closing Index for the CSI 300 index from China Stock Market Series/Stock Trading/Market Index table over 2004/1/1 to 2023/12/31, and finish the following tasks.
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(a) Manually derive monthly CSI 300 index returns and provide summary statistics on mean, stan- dard deviation, skewness and kurtosis for monthly CSI 300 index returns.
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(b) Plot a histogram for CSI 300 monthly returns.
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(c) Discuss whether returns of the CSI 300 index follow a normal distribution.
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SinceJensen,Black,andScholes(1972,hereafterBJS),therehavebeenmanyattemptstoempirically test the relation between asset risks and expected returns. Chen et al. (2019) conduct a simplified version of BJS’s test on the Chinese market. Please carefully read through Chen et al. (2019) and finish the following tasks.
(a) Download weekly Returns Without Cash Dividend Reinvested for all A-share mainboard stocks from China Stock Market Series/Stock Trading/Individual Stock Trading table from the first week of 2017 to the last week of 2022.
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(b) Calculate weekly market returns as the mean value of weekly returns of all mainboard stocks .
(c) Loadweeklyrisk-freereturndatafrom“weekly_risk_free_rate.xlsx”or“weekly_risk_free_rate.dta”.
(d) Followsection4inChenetal.(2019)toreplicateTable2and3withdataobtainedfrom(a)-(c). In other words, you reproduce two tables with the original methology yet with different data.
Hints
1. When the number of observations of requested data is very large, CSMAR may split your data into mutiple files. Do remember to concatenate all raw data files.
2. Denoted by Rk,t the returns for index k at time t. You may calculate Rk,t as follows: Rk,t = Ik,t −1,
Ik,t−1
where Ik,t is the closing index for k at t. In other words, you do not have to worry about issues like
dividends or changes in tradable shares when calculationg index returns.
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The file “weekly_risk_free_rate” contains weeklized returns of 1-year government bonds sourced
from CBIRC. You can directly use “risk_free_return” therein as weekly risk-free returns.
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You may find the combination of bysort and asreg in Stata helpful to run regressions by group and
store coefficients as new columns correspondingly.
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In an empirical replication, you do not necessarily have to generate exactly the same coefficients or t-statistics (nor is it possible) but you should follow the original design and find comparable results or slightly different results with solid justifications.
References
Chen, Yifan et al. (2019). “Empirical test of CAPM in Shanghai securities market”. In: Finance 9, pp. 28–33. Jensen, Michael C, Fischer Black, and Myron S Scholes (1972). “The capital asset pricing model: Some
empirical tests”. In: Studies in the Theory of Capital Markets.