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Question 2: An annuity pays $200 at the end of each period for 10 periods. Set up the CFs in an Excel spreadsheet as for Ques

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2a: The goal seek in excel gives the following result – 5.004626%. This can be rounded to 5.005% (3 decimal) or 5.00% (2 decimals)

Period Amount 1+r PV
                1      200.00      1.05005 190.4677989
                2      200.00 181.3899122
                3      200.00 172.7446866
                4      200.00 164.5115012
                5      200.00 156.6707177
                6      200.00 149.2036338
                7      200.00 142.0924386
                8      200.00 135.3201701
                9      200.00 128.8706748
              10      200.00 122.7285689
Total         1,544.00

A B с D E F G H 1 J 1 w N ? х 4 Goal Seek 5 Set cell: 6 7 Period 1 2 3 4 5 6 7 8 Amount 1+r 200.00 200.00 200.00 200.00 200.0

2b: The formula for rate function in excel will be: RATE (10, 200, -1544, 0). This will give a value of 5.00463%

3a:

Period Amount 1+r PVIF PV
                1               21             1.08             0.9259         19.44
                2               34             0.8573         29.15
                3               40             0.7938         31.75
                4               33             0.7350         24.26
                5               17             0.6806         11.57
Total      116.17

3b: No, the annuity formula cannot be used as the amount is different each year and there is no growth rate involved here as well.

3c: The built in function also cannot be used as the amounts are not constant and are varying each year. The excel built in formula of PV works in case of PMT i.e. when payments are constant.

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