Compounded inflation The U.S. government reports the rate of inflation (as measured by the Consumer Price Index) both monthly and annually. Suppose that for a particular month, the monthly rate of inflation is reported as 0.8%. Assuming that this rate remains constant, what is the corresponding annual rate of inflation? Is the annual rate 12 times the monthly rate? Explain.
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A: Assuming that CPI is equal to C0.
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- A series of five payments in constant dollars, beginning with $6,000 at the end ofthe first year, are increasing at the rate of 5% per year. Assume that the averagegeneral inflation rate is 4%, and the market interest rate is 11% during this inflationary period. What is the equivalent present worth of the series?(a) $24,259 (b) $25,892(c) $27,211 (d) $29,406Suppose we have the following Treasury bill returns and inflation rates over an eight year period: Year Treasury Bills Inflation 1 10.45% 12.55% 2 11.36 16.00 3 9.06 10.29 4 8.34 7.97 5 8.88 10.29 6 11.23 12.77 7 14.11 16.98 8 15.97 16.90 a. Calculate the average return for Treasury bills and the average annual inflation rate for this period. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Treasury bills % Inflation % b. Calculate the standard deviation of Treasury bill returns and inflation over this period. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Treasury bills % Inflation %…You observe that the current interest rate on short-term U.S. Treasury bills is 4.86 percent. You also read in the newspaper that the GDP deflator, which is a common macroeconomic indicator used by market analysts to gauge the inflation rate, currently implies that inflation is 1.65 percent. What is the approximate real rate of interest on short-term Treasury bills? (Enter your answer as a percent rounded to 2 decimal places.)
- Consider the following table for an eight-year period: Year T-bill return Inflation 1 7.47 % 8.53 % 2 8.94 12.16 3 6.05 6.76 4 5.97 5.04 5 5.63 6.52 6 8.54 8.84 7 10.74 13.11 8 13.00 12.34 Calculate the average return for Treasury bills and the average annual inflation rate (consumer price index) for this period. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Average return for Treasury bills % Average annual inflation rate % Calculate the standard deviation of Treasury bill returns and inflation over this time period. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Standard deviation of Treasury bills % Standard deviation of inflation % Calculate the real return for each year. (A negative answer should be indicated by a minus sign. Leave no cells…1, Consider the following table for an eight-year period: Year T-bill return Inflation 1 7.47% 8.53% 2 8.94 12.16 3 6.05 6.76 4 5.97 5.04 5 5.63 6.52 6 8.54 8.84 7 10.74 13.11 8 13.00 12.34 a, Calculate the average return for Treasury bills and the average annual inflation rate (consumer price index) for this period. b, Calculate the standard deviation of Treasury bill returns and inflation over this time period. c, Calculate the real return for each year. d, What is the average real return for Treasury bills?In the United Kingdom, the inflation rate is 1.8 per cent per year and that T-bills currently yield 2.1 per cent annually. What do you estimate the inflation rate to be in Australia if short-term Australian government securities yield 4 per cent per year?
- Finance Suppose the spot and three-month forward rates for the yen are ¥79.70 and ¥79.04, respectively. b. What would you estimate is the difference between the annual inflation rates of the United States and JapanFor prices that are increasing at an annual rateof 5% the first year and 8% the second year, determine the average inflation rate ( f ) over the twoyears.Suppose inflation rates in the U.S. and France are expected to be 4% and 9%, respectively, next year and 6% and 7%, respectively, in the following year. If the current spot rate is $.1050, then the expected spot value of the franc in two years is a. $.1111 b. $.0992 c. $.1074 d. $.1024
- The average inflation rate in Canada is 3% per year. It means that purchasing power of $1 decreases in one year to $0.97 and in n years – to 0.97n Calculate this decrease in time period of: a. 5 years b. 10 years c. 15 years d. 20 yearsInflation, nominal interest rates, and real rates. From 1991 to 2000, the U.S. economy had an annual inflation rate of around 3.11%. The historical annual nominal risk-free rate for this same period was around 6.74%. Using the approximate nominal interest rate equation and the true nominal interest rate equation, compute the real interest rate for that decade. What is the estimated real interest rate using the approximate nominal interest rate equation for that decade? nothing% (Round to two decimal places.)1. Which of the following regarding inflation is true? (a) If CPI changes from 100 to 105 in a year and then changes from 105 to 100 in the following year, then the initial rate of price increase is greater than the following rate of price decrease. (b) If CPI doubles in one year and then remains at that high level for five years, it means that the country suffers high inflation for five years. (c) If CPI is cut by half in one year, it means that the deflation rate of that year is 0.5%. ( d) Increasing CPI means that money is getting more and more valuable. (e) None of the above.