Question 2 , Part A, B, C, D & E
Business Conditions Analysis
ECON 736
Analytical Assignment #1 Professor Yamin Ahmad
Instructions: There are two questions in this Analytical Assignment. Each question is worth the same – 20 points. You should answer both. Please submit a Word document that contains your solutions to the D2L dropbox. Make sure to be concise in your answers. Answer ONLY what the question asks, as points are not awarded for verbosity! For question 1, download the data that accompanies the question. Please do the calculations in the spreadsheet and enter the solutions in the cell specified within the particular question. Then report the solutions in your write up (along with question 2). Remember to upload the spreadsheet with the calculations when you submit your solutions to the D2L dropbox. I will primarily be checking your Word document for your solutions, but may wish to check your calculations in your spreadsheet if you make errors. For questions that require algebraic and numerical calculations: Show your calculations, and not just the answer in your write up. You may use your lecture notes and the textbook. You may work independently or pair up with another student and submit the assignment jointly. Your submission must be put into the appropriate D2L dropbox by Wednesday, July 19. If you are working with another student, only one of you should submit a final document for grading while the other should submit a dummy file to the dropbox so I can share feedback with them as well. In this case, make sure to have your names on both files.
Econ 736 Analytical Assignment #1
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1. (20 pts) For this question, you will need to download the Excel spreadsheet labelled AA1_data.xlsx from D2L. This dataset contains quarterly data on the UK from 1973Q1 to 2006Q1 on a number of different variables.
a. (12 pts) Gross Domestic Product
Consider that for a variable, tx , the growth rate of x is calculated between periods t and t‐1 as follows:
1 1 1
Growth Rate of % 100 100t t t t t
x x xx x x x
Click on the worksheet titled “Growth Rate”.
i. (2 pts) Calculate Real GDP using the nominal GDP and GDP deflator data in column D.
ii. (2 pts) Using the formula above, calculate the Annualized Economic Growth Rate (i.e. the percentage change in real GDP between one quarter and four quarters previously) in column E. [Note: You will not be able to calculate growth rates from 1973Q1 ‐ 1973Q4, since you would need data from 1972Q1‐Q4].
iii. (1 pt) What was the historical average growth rate for the UK. Report this in cell E138. [Hint: you may find the “=AVERAGE()” worksheet function useful here!]
iv. (3 pts) Consider that a popular working definition for a recession is at least two consecutive quarters (i.e. 6 months) of negative economic growth. Based on your calculations, when did the UK face a recession(s)? [Hint: you are looking for at least 2 consecutive quarters of negative economic growth. You may find it useful to use the “=IF()” formula in column F to check when the corresponding number in column E is negative for each period.]
v. (2 pts) Plot the economic growth rate for the UK in a chart. The UK experienced a mild recession in 2001. Is this recession reflected in the graph that you just plotted? Explain why or why not.
vi. (2 pts) In column H, calculate the natural log of the real GDP you calculated in column D. Then in column I calculate the difference in the log of the real GDP for a particular period and the four quarters previous to it; multiply the result by 100. As in part ii, you will not be able to calculate values for 1973Q1‐Q4 since you do not have data for 1972. What have you just calculated? How does what you calculate compare to what you calculated in column E? If your numbers are different, explain why.
b. (8 pts) National Income and Product Accounts (NIPA) Turn to the worksheet labeled NIPA. This worksheet has Nominal GDP, the CPI and
nominal data on consumption, investment, government purchases and net exports. Copy and paste in your values for Real GDP that you calculated earlier into column C.
Econ 736 Analytical Assignment #1
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[Hint: Make sure you use the “Paste Special” command and then paste in the actual values as opposed to the formulas themselves.]
i. (4 pts) Using the CPI as the price level, calculate the values of real
consumption, investment, government purchases and net exports in columns I‐L. Calculate the correlations between real GDP and each of these variables (C, I, G and NX) for both the nominal and real variables. [Hint: You may find the “=CORREL()” function useful here] Report these in cells E141 – H142. How would you classify how C, I, G and NX behave with regards to the business cycle (i.e. are they procyclical, countercyclical, or acyclical)?
ii. (2 pts) In columns M ‐ P, calculate the share of each of the real variables (i.e. C, I, G and NX) as a fraction of real GDP. Historically, what fraction of real GDP is made up on average by consumption, investment, government purchases and net exports? Report these in cells M140 – P140. Which is the biggest?
iii. (2 pts) In columns Q‐S calculate the growth rate of C, I, and G. Out of consumption, investment and government purchases, which is the most volatile? [Hint: you may find the variance worksheet function, VAR() helpful here.]
2. (20 pts) The table below shows the cumulative gross of five popular movies from the past five decades.
Movie
(Nominal) Cumulative
Gross
Release Date
Ticket Price Index
Star Wars: The Force Awakens
$936,662,225 12/18/2015 100.041
Avatar $760,507,625 12/18/2009 90.297 Titanic $658,672,302 12/19/1997 56.143 E.T. $435,110,554 6/11/1982 35.419 Star Wars: Ep. 4 $460,998,007 5/25/1977 29.886
a. [2 pts] Based on the information above, which year (note: NOT month or day) would
you expect to be the base year? Why? b. [6 pts] The formula presented in class for the GDP Deflator is:
GDP Deflator = 100*(Nominal GDP/Real GDP). Supposed you know that the ticket price index is based on a similar formula involving the nominal and real cumulative gross. Calculate the real cumulative gross for each movie. Round the numbers to the nearest million dollar.
Econ 736 Analytical Assignment #1
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c. [4 pts] Which 4 movies sold the largest number of seats? Rank them in order. d. [4 pts] Consider the value of the ticket price index at the time when Avatar came out,
i.e. 90.3 approximately. What does this number mean? If tickets cost $10 on average in 2015, what would it have cost at the time Avatar came out?
e. [4 pts] What was the rate of ticket price inflation in the eighteen years between
1997 and 2015?
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