i) Expected inflation data is one year hence - so for example, expected inflation for the period from July 2010 to July 2011 is given in July 2010 and if you view the data, the expected inflation during this time is 2.7% = n*. ii) To calculate the actual rate of inflation, for example, during the July 2010 to July 2011 period you need to take the percent change in P = %% P. Using the CPI data, we have the price index equaling 217.7 in 7/2010 (beginning of August given the end of month data) and 225.6 in 7/2011 (end of July, 2011). Note, this is a 12 month period. The actual rate of inflation during this time is 3.63% = 1 iii) When using the one year nominal interest rate to calculate the all-important real rate(s) of interest we need to be careful. For example, using the same one year time period (July 2010 - July 2011) we simply use the one year rate given as of July 2010. Think of buying the bond in July 2010, putting it in a safety deposit box (or under your mattress, a coffee can, etc.) and then cashing it in when it matures in July 2011 (you get your principal times whatever the nominal interest rate is). In viewing the data, the one year rate in July 2010 is 0.29%. So clearly (and by design of the Fed), both the ex-ante and ex-post real rates are negative during this period and differ because expected inflation was not equal to actual inflation. a) (5 points) Using the most recent data, calculate the ex-ante and ex-post real interest rates. Show your work. i(12/18)=2.66