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Problem 4 (Required, 25 marks) Today is the beginning of 2020 (time 0). An investment fund has launched today and it earns compound interest convertible

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Problem 4 (Required, 25 marks) Today is the beginning of 2020 (time 0). An investment fund has launched today and it earns compound interest convertible continuously. You are given that The annual nominal interest rate is i = 4.3% during the first 15 months. The annual nominal interest rate is i = c thereafter. The following table shows the 6-month inflation rate in 2020 & 2021: 6-month inflation rate First half of 2020 r Second half of 2020 r + 0.2% First half of 2021 r+ 0.4% Second half of 2021 r +0.5% You are given that the annual real rate of interest over 2020 is 0.933%. Question: Calculate the minimum value of c such that annual real rate of interest over 2021 is greater than that over 2020. Show all details

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