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Question 2 (13 marks) X A deposit X is to be made now and a second deposit is to be made 2 years from now

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Question 2 (13 marks) X A deposit X is to be made now and a second deposit is to be made 2 years from now to provide for 2 withdrawals of $1,000 one year from now and $2,000 five years from now. The annual effective rate of interest is 5%. (a) Draw the time diagram for this problem. [3] (b) Using time 0 as the reference time point, set up an appropriate equation of value and determine X. Round your answer to the nearest cent. [3] (c) Using time 5 as the reference time point, set up an appropriate equation of value and determine X. Round your answer to the nearest cent. [3] (d) Using time 3 as the reference time point, set up an appropriate equation of value and determine X. Round your answer to the nearest cent. [4 Hint: the value for X should be the same regardless of the reference point chosen. Small discrepancies due to rounding are acceptable

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