Question B

2. Today is 1 July 2019. John needs $160,000 on 1 January 2024. He plans to invest $80,000 into a fund today. John predicts that the return rate of this fund will be 1 July 2019 to 30 June 2021 1 - 5.1% 1 July 2021 to 31 December 2023)2 = 5.3% a. Calculate the accumulated value of John's fund investment on 1 January 2024 (round your answer to four decimal places.). b. To save for remaining required amount on 1 January 2024 (the difference between the $160,000 and the accumulated value from part a), John plans to deposit % of his anmal after-tax salary into a saving account on 1 July of each year from 2019 to 2023 (5 deposits in total). The saving account rates are assumed to be 0.2% per month. Assume that John's after-tax salary is $90,000 p.a. Find the value of : (expressed as a percentage and rounded to two decimal places). c. From John's perspective, draw a carefully labelled cash flow diagram to rep- resent the above financial transactions of parts c and d Here is the marking guide Parta One mark for the correct method. One mark for using the correct number of half years from 1/7/2019 to 30/6/2021. One mark for using the correct number of half years from 1/7/2021 to 31/12/2023. two marks for the correct result (only give one, if the answer has not been rounded to four decimal places.). Part 1 One mark for calculating the correct difference value. . One mark for the correct interest rate per half year (this value might be implied in the formula). . One mark for the correct interest rate per year (this value might be implied in the formala). Two marks for the correct method (only give one mark if the deposit amount has not been accumulated from 1/7/2023 to 31/12/2023). Two marks for the correct result (only give one, if the answer has not been rounded to two decimal places.). Parte One mark for indicate the diagram is drawn from John's perspective. One mark for the negative cash flow of fund investment amount ($80,000) on 1/7/2019 One mark for the negative cash flows of deposit from 1/7/2019 to 1/7/2023. . One mark for the positive cash flows of fund investment and deposit accumu- lation return on 1/1/2024. Give one mark, if student combines two cash flows together 2. Today is 1 July 2019. John needs $160,000 on 1 January 2024. He plans to invest $80,000 into a fund today. John predicts that the return rate of this fund will be 1 July 2019 to 30 June 2021 1 - 5.1% 1 July 2021 to 31 December 2023)2 = 5.3% a. Calculate the accumulated value of John's fund investment on 1 January 2024 (round your answer to four decimal places.). b. To save for remaining required amount on 1 January 2024 (the difference between the $160,000 and the accumulated value from part a), John plans to deposit % of his anmal after-tax salary into a saving account on 1 July of each year from 2019 to 2023 (5 deposits in total). The saving account rates are assumed to be 0.2% per month. Assume that John's after-tax salary is $90,000 p.a. Find the value of : (expressed as a percentage and rounded to two decimal places). c. From John's perspective, draw a carefully labelled cash flow diagram to rep- resent the above financial transactions of parts c and d Here is the marking guide Parta One mark for the correct method. One mark for using the correct number of half years from 1/7/2019 to 30/6/2021. One mark for using the correct number of half years from 1/7/2021 to 31/12/2023. two marks for the correct result (only give one, if the answer has not been rounded to four decimal places.). Part 1 One mark for calculating the correct difference value. . One mark for the correct interest rate per half year (this value might be implied in the formula). . One mark for the correct interest rate per year (this value might be implied in the formala). Two marks for the correct method (only give one mark if the deposit amount has not been accumulated from 1/7/2023 to 31/12/2023). Two marks for the correct result (only give one, if the answer has not been rounded to two decimal places.). Parte One mark for indicate the diagram is drawn from John's perspective. One mark for the negative cash flow of fund investment amount ($80,000) on 1/7/2019 One mark for the negative cash flows of deposit from 1/7/2019 to 1/7/2023. . One mark for the positive cash flows of fund investment and deposit accumu- lation return on 1/1/2024. Give one mark, if student combines two cash flows together