### «FIRST15»

Place your first order with code to get 15% discount right away!

# Homework Help: Solved 254214

In this box you will work with the HP-filter. This is a procedure to decompose economic variables into a trend and a cycle. The HP-filter allows for a flexible time-varying trend, in contrast to imposing a constant trend over long periods of time —say, decades. Since long-term trends change (eventually), this provides a better measure of the cycles i.e. deviations from trend. The purpose of the box is to calculate the co-movement and volatility of consumption and investment relative to GDP, all measured in real terms. For this exercise you will use table 1.1.6 from BEA.gov once again; starting in 1960:Q1 to the latest available year at a quarterly frequency. The smoothing parameter λ (lambda) for quarterly data is 1,600. The box has to describe the nature of the filter and report the correlation and volatility of the cyclical components of GDP, consumption, and investment over time. The focus will be on the Great Moderation which is known as the period under which the U.S. economy experienced a break in the volatility of most of its macroeconomic variables. The literature has identified it as beginning in the mid-1980s, and ending in 2008 with the Great Recession. Part of the exercise is to identify the Great Moderation in the data and see whether the 2008 broke that trend; that is, has the U.S. economy become as volatile as before 1984, or has the moderation persisted? To create the box follow these steps: Go to NIPA Table 1.1.6 in the Bureau of Economic Analysis website (bea.gov), and download the quarterly data for GDP, consumption, and investment for the period 1960:Q1 to latest available. Use the HP-filter to calculate the trend of the three variables for the whole period, and then for the periods 1960-83; 1984-2007; and 2008 to latest available. Use a value of 1,600 for lambda. Detrend the original series and plot the three variables in the same graph for the entire sample period [25 points]; then calculate the standard deviation of the cyclical component of GDP, consumption, and investment for each of the periods and present in a table [25 points]. Compare the four sample periods, summarize your findings [25 points] and explain in the context of the Great Moderation [25 points]. The end. Detailed instructions for point 2 above (follow each step verbatim) Download the excel add-in for the HP-filter. http://ideas.repec.org/c/dge/qmrbcd/165.html (Links to an external site.) Make sure that the HPFilter.xla file is in the same directory as where you are going to save your excel file. Double click on HPFilter.xla to launch it in Excel and make sure to enable macros. This should enable the HP-Filter function. You will always have to first start the macro every time you use the workfile (in that order). Transpose the variables into columns and then take the natural log of each of the variables [the Excel function is =ln( )]. HP-filter the natural log of each variable, the function in Excel is: HP(timeseries to be filtered, value for lambda). This is an array formula (columns). Example. Suppose you want to filter 5 data points in the first five cells of column A, say A1:A5, at lambda = 1600. Enter the following formula into cell B1: =HP(A1:A5,1600) Then hit return or enter. Then, starting with cell B1, select cells B1 through B5 Hit F2. Then hit the Ctrl, Shift, and Enter buttons simultaneously. This will HP-Filter the entire set of cells from A1-A5 and place the filtered series into B1-B5. 5. For the case of GDP, the variable on column A should be the ln(GDP) and column B represents the trend, ln(GDP*). The next step is to compute the cycle ln(GDP) – ln(GDP*) in column C. Now you can plot it and calculate its standard deviation. Do the same for consumption and investment.

### Calculate the price of your order:

275 words
+
Approximate price
\$ 0.00

### Basic features

• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee

### On-demand options

• Writer's samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources

### Paper format

• 275 words per page
• 12pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, CHicago/Turabian, Havard)

### Guaranteed originality

We guarantee 0% plagiarism! Our orders are custom made from scratch. Our team is dedicated to providing you academic papers with zero traces of plagiarism.

### Affordable prices

We know how hard it is to pay the bills while being in college, which is why our rates are extremely affordable and within your budget. You will not find any other company that provides the same quality of work for such affordable prices.

### Best experts

Our writer are the crème de la crème of the essay writing industry. They are highly qualified in their field of expertise and have extensive experience when it comes to research papers, term essays or any other academic assignment that you may be given!

## Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
\$0.00

### Expert paper writers are just a few clicks away

Place an order in 3 easy steps. Takes less than 5 mins.