J. Edward Taylor Fall 2020
Your Name __________________________________
ARE 106
Quantitative Methods
Problem Set 3
Due before midnight on Friday, December 11, 2020
Financial Markets and COVID-19
The data set “financial_data_ps3.dta” contains daily information on the closing price of the S&P 500 stock, gold, bitcoin, as well as the interest rate on the U.S. 10-year Treasury note since January 2015 to October 2020. These data were retrieved from Yahoo finance. The following table defines the variables in this data set:
Variable Variable name in Stata Description Date date Year-month-day Time trend timetrend Numerical variable that goes from 1 to T Closing price of S&P 500 stock sp500_close Closing price in US dollars Closing price of gold gold_close Closing price in US dollars Closing price of bitcoin bitcoin_close Closing price in US dollars Interest rate on the U.S. 10-year Treasury note
treasury_close Interest rate
Before you begin, however, please read through these important instructions:
• Be sure to write your name on this page! Please submit your assignment by Midnight (CA time) Friday December 11th. (Note: You will lose a full grade point (e.g., from A- to B-) for turning in your assignment one day late. No submissions will be accepted after Saturday December 12th.) The submission process involves two steps, both of which are required to receive full credit for the Problem Set:
o Part 1: Upload your Stata do-file to the Problem Set 3 Assignment on Canvas. You will lose a full grade point if you do not submit the Stata do file.
o Part 2: Upload your PDF via Gradescope. If you have any questions about how to upload via Gradescope, please consult this helpful page: https://help.gradescope.com/article/ccbpppziu9-student-submit-work
• You are permitted to discuss the assignment with your classmates, but all estimation and write- up should be done independently. Assignments like this are designed for you to generate your own ideas, and this should be reflected in your submitted work. We will be looking out for evidence that each student is submitting their own work and not that of classmates.
J. Edward Taylor Fall 2020
• Enter your answers onto this document in the space provided. More than enough space is provided, so do not worry about filling up the space! Focus more on the quality of your responses than on the quantity of words used in the responses.
• You have a few options for how to enter your responses. This PDF is fillable, which means you can type out your responses in the boxes provided. (Note: It is highly recommended that you print your final document as a PDF file and read over your submission to make sure everything is as you want it before uploading to Gradescope.) You can also handwrite your responses on a printed copy of the document, scan that document as a PDF, and upload the submission. Alternatively, you could handwrite answers using a tablet. If you choose to handwrite your responses, be sure to keep your handwriting within the boxes provided for each question. Answers outside of the boxes are liable to be missed by Gradescope, resulting in unnecessary points lost.
• When typing out equations, you may use lower-case letters in parentheses instead of subscripts. For example, Y(i) is accepted in place of 𝑌𝑌𝑖𝑖. If you are handwriting your responses, please use subscripts for full credit.
• In order to open “financial_data_ps3.dta”, go to “File – Open”, and locate your local drives where this dtafile is saved.
o For Windows users, your local drives should be under “This PC” – “C on {your computername}.”
o For Mac users, “This PC” – “[folder name] on [your computer name].” The folder is theone which you set up first in “Preference – General tab” in Microsoft Remote Desktop Appwhen you install Stata. You should move “financial_data_ps3.dta” to this folder.
• All the Stata commands have useful documentation with examples. If you want to see these documents, you can type “help [command name].”
o For example, if you type “help reg” in Stata, a new window will be open and provide a detailed information on syntax, options, and examples for reg command.
J. Edward Taylor Fall 2020
1. [5 points] The S&P 500 is an index of stock prices for the largest corporations in America. It includes all the FAANG (Facebook, Amazon, Apple, Netflix, Google) stocks, but it also includes “old economy” stocks like United Airlines, Hilton Hotels, and Carnival Cruises. Estimate an OLS regression to predict the S&P 500 price at close of each trading day, based on its close price the previous day and a time trend. That is, use the model to capture basic dynamics that is Professor Taylor’s preferred starting model (see ppt for CH 9). Report your results. Hint: before running the regression, make sure to declare the data to be a time series by typing tsset timetrend in Stata.1
Variables Estimated Coefficient
Standard Error t-statistic 95% Confidence Interval Lower Upper
S&P 500 (t-1)
Time trend
Constant
Sample size
𝑅𝑅2
1 timetrend is a numerical variable that goes from 1 to T, where T is the total number of days in the dataset.
J. Edward Taylor Fall 2020
2. [5 points] Is there evidence of serial correlation in this model at 5% of significance? Please write down the auxiliary model, the null hypothesis, the test statistic and the critical value. DO NOT USE THE CANNED COMMAND THAT DOES THIS TEST IN STATA! We want to see how you did it.
J. Edward Taylor Fall 2020
3. [5 points] Briefly explain how the Newey West procedure addresses the serial correlation problem.
J. Edward Taylor Fall 2020
4. [5 points] Now re-estimate this basic dynamics model using the Newey West procedure with 6 lags.2 (It is fairly common to set the number of lags equal to the integer part of T1/4, which satisfies the conditions in Newey and West’s seminal paper.) Report your results and compare them to the results you got using OLS.
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You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.
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