4. Calculate items A, B, and C in the table below. Employment Status August 2022 Civilian noninstitutional populationl 264,184 Civilian labor force 164,746 Participation rate A Employed 158,732 Employment-population ratio 60.1% Unemployed B Unemployment rate C Not in labor force 99,438 All numbers in Thousands. Source: Bureau of Labor Statistics. lThe number of persons who in principle could work. 5. Write out the derivation of the Fisher equation discussed on slide 19 of lecture 3 by showing that the steps below lead to the Fisher equation r = i are. (a) Begin with = 1 + 7'. 1+5?\"3 (b) Replace 1 + with the Taylor-series expansion 71-8 1 =1'1r"3+('zr'3)2 (1rr'3)3+(7r")'1 ... 1 + if\"3 in the expression in part 5(a) above. (c) Assume that we can ignore any terms involving re or (#3)\" for n 2 2 because i and are are small. 6. Calculate the one-year real rate of interest faced by the US. government given that expected ination is now 3.38%/ year (Source: F RBCleveland) and the nominal one- year US. Treasury rate is 3.46% (Source: lnvestingcom)