In the table, real GDP growth rate in the year 2000, between 1999 and 2000, is given as an example (I = 2000). You can follow the example and ll in all the blanks in pink color. Please make sure to keep for your answers of GR-l (as the example). (3) An alternative approach, we can use the difference of natural logarithm to calculate growth rate (GR-2). It is relatively easier than the calculation above (GR- 1). Here we will skip some technical details. In sum, for a small growth rate, we can use natural logarithm to calculate GDP growth rate. For GDP grth rate over one year, GR-2 can be calculated as, GR; = Ln(GDP.) LII(GDPrj'); (I) For the average growth rate of N years (GRN), GRN = [LIKGDPHAO Ln(GDP.)]/N; (II) Now use formula (I) in this part to calculate real GDP growth rate (GR-2) of each year. Fill the blanks in the last column with green color and compare the results with annual growth rates computed by the method of GR- 1. Are the values in the two columns close enough or not? Please make sure to keep for your answers. (4) Use the annual real GDP growth rates from 2016 to 2020 and calculate the average growth rate over these ve years. How much in the average growth rate? Please make sure to keep for your answer. (5) With the average growth rate computed above, how many years it takes for the US to double its real GDP. Try to use both the \"Rule of 70\" and the logarithm method in your lecture note. Compare the results from these two methods, are they close or not. Please make sure to keep for your answer. Question 2. The following table presents the Real Gross Domestic Product (GDP) of the United States (Chained 2012 dollars) from 1999 to 2020. Please finish the questions as below. + Year Real GDP Ln(GDP) GR-1 GR-2 1999 12610.50 9.442 NA. NA. 2000 13130.99 9.483 0.041 2001 13262.08 2002 13493.06 2003 13879.13 2004 14406.38 2005 14912.51 2006 15338.26 2007 15626.03 2008 15604.69 2009 15208.83 2010 15598.75 2011 15840.66 2012 16197.01 2013 16495.37 2014 16912.04 2015 17432.17 2016 17730.51 2017 18144.11 2018 18687.79 2019 19091.66 2020 18384.69 Note: Real GDP, annual real GDP of the United States, unit: Billions of Chained 2012 Dollars, Not Seasonally Adjusted. Ln(GDP) is the natural logarithm of real GDP. GR-1 is the growth rate of real GDP calculated using the method in part (2) as below. GR-2 is the growth rate of real GDP calculated using method in part (3). Data: https://fred.stlouisfed.org/series/GDPCA (1) Transform the real GDP (the 2nd column) into natural logarithm (Ln) values (in the 3rd column). There are two example years of 1999 and 2000. You may use calculator, spreadsheet or other devices to calculate the natural logarithm values. Please fill in the blanks of blue color in the third column. (2) Calculate real GDP growth rate (GR-1) in each year and complete the blanks in the fourth column. You can use the formula as below. GDP growth rate in year t equals, GR = (GDP - GDP+-1) / GDP+-1