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A4. (a) The table below shows the annual tuition fees () of undergraduate international students in a private college over the period 2018 - 2020. 2018 2019 2020 Year Annual Tuition Fees () of International students 12,250 13,400 14,120 6 MSO 1621 ASSESSMENT 3 /MAIN/2021-2022/APRIL 2022 Question A4 continues ... i. Given that the annual tuition fees () of undergraduate international students in 2015 was 10,100, calculate the fixed-base price index for the years 2019 and 2020 using 2015 as the base year. State your results using one decimal place of accuracy. ii. Interpret the fixed-base price index for the year 2019. ili. Calculate the chain price index for the year 2019. Your result should be accurate to one decimal place. (b) State clearly the similarity and difference between the Laspeyres and Paasches price indices. An investment of 8,760 is made into the 'Fair Deal' account that pays an annual interest of 3.7%. The 'Fair Deal' account offers an annual compound interest for the first three years and an annual simple interest for the remaining years of investment. At the end of the third year, 2,368 is withdrawn from the account Calculate the balance of this investment at the end of seven years. Note that a step-by-step method is not acceptable and full workings as in all questions, should be clearly provided. An explanation needs to be provided. (d) Given an annual interest rate of 4.5%, what is the maximum amount one will be willing to pay now to an insurance company as a lump sum, to obtain a pension of 6,700 per year for the next 9 years, if payments are made at the end of each year? (c)