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Solutions to four inflation-related questions. The first question calculates the average inflation rate from 2016 to 2020 using the given consumer price index (cpi) data. The second question determines the constant rupee values of cash flows for the next five years, considering an expected average inflation rate. The third question finds the actual value of a salary in 2020, given the salary amount in 1985 and the average inflation rate during that period. The fourth question calculates the real interest rate when the nominal interest rate is 7.5% and the rate of inflation is 4.3%.
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Name : Shams Mashar Assignment - 05 Id : fa18-beee- Question No : 01 The CPI of a country from 2016 to 2020 is as follows, 2016- 122.5, 2017—129.32, 2018—137.56,2019—143.52, 2020-149. Calculate average inflation rate from 2016 to 2020? Answer: As we know that , f = ( F / P )1/n^ - 1 Data: Where, F = Final CPI = 149. P = Present CPI = 122. n = number of periods = 4 years f= Average rate of inflation =? Solution: Putting the values of ‘F’ , ‘P’ and ‘n’ into the above formula we get the value of f, f = ( 149.32 / 122.5 ) ¼
f = 0.0507 * 100 = 5.07% Answer Q-2 A company is estimating following cash flows for next five years Year Cash Flows 2020 Rs 75,000. 2021 Rs 95,000.
2022 Rs 1,10,000. 2023 Rs 1,15,000. 2024 Rs 1,22,000. If Company is expecting an average inflation of 5.5% in next 5 years what will be the values of cash flows in constant rupees? Answer : Data : average inflation rate = 5.5 % Constant rupees during each period=? Solution : Years Cash Flow In Actual Rupees Conversion at f Cash Flow in Constant Rupees 2020 Rs 75,000.00 (1+0.055) 0 Rs 75,000. 2021 Rs 95,000.00 (1+0.055)
Solution: Putting the values of ‘i’ and ‘fe’ into the above formula we get the value of r , 1+r = 1+ 0.075 / 1+ 0. 1 + r = 1.075 / 1. 1+r = 1. r = 1.0306 - 1 r = 0.0306 * 100 = 3.06% Answer.