Calculate the annual real interest rate compounded

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Porter makes three year loans which include inflation protection. The annual interest rate compounded continuously that must be paid is 3.2% plus the rate of inflation. The US government borrows 100,000 for three years from Porter. The actual annual inflation rate during the first year was 2.4% compounded continuously. The actual annual inflation rates for the second and third years respectively was 3% and 4.2% compounded continuously. The US government is considered a risk free borrower which means there is no chance of default.

a. Calculate the amount that the US government will owe at the end of three years. (Round your answer to the nearest 2 decimal places.)

b. Calculate the annual Real Interest Rate compounded continuously. (Enter answer as a decimal and round to the nearest 3 decimal places.)

c. The annual interest rate compounded continuously that Porter wants to earn to defer consumption is 3.5%. What is the annual cost compounded continuously of inflation protection. (Enter answer as a decimal and round to the nearest 3 decimal places.)

Reference no: EM132801894

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