c) Calculate the rate of inflation between May of 1958 and May of 1959 (show work). d) Using the data on one year interest rates (https://research.stlouisfed.org/fred2/data/GS1.txt), calculate the ex-post real rate of interest between May of 1958 and May of 1959. e) Calculate the ex-post real rate of interest from January 2012 to January 2013. f) Calculate the ex-ante real rate of interest from January 2012 to January 2013. To do so, you need data on expected inflation (https://research.stlouisfed.org/fred2/data/MICH.txt). Note that all data on expected inflation is based on expectations for the next 12 months - for example, to make sure we are on same page, verify that the expected rate of inflation from January 2010 to January 2011 was 2.8%. 2) (10 points) During the second quarter of 1958, calculate the GDP gap. To do so, you need data on potential GDP (https://research.stlouisfed.org/fred2/data/GDPPOT.txt) and data on actual GDP (https://research.stlouisfed.org/fred2/data/GDPC1.txt). The GDP gap is calculated by taking the actual value of GDP minus potential GDP divided by potential GDP times 100. Also note the notation for quarters - for example: 2000 - 01 - 01 is the first quarter (Jan., Feb., March) of 2000 where 2000- 10-01 is data for the fourth quarter of 2000 (Oct., Nov., Dec.)