Question

In: Finance

You need to accumulate $10,000. To do so, you plan to make deposits of $1,250 peryear—...

You need to accumulate $10,000. To do so, you plan to make deposits of $1,250 peryear— with the first payment being made a year from today —into a bank account that pays 12% annual interest .Your last deposit will be less than $1,250 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal ,and how large will the last deposit be?

Solutions

Expert Solution

Time Opening Balance Interest Total Balance Deposits Closing Balance
                                                                                 1.00                                   -                                       -                               -                                1,250.00                   1,250.00
                                                                                 2.00                      1,250.00                           150.00                1,400.00                              1,250.00                   2,650.00
                                                                                 3.00                      2,650.00                           318.00                2,968.00                              1,250.00                   4,218.00
                                                                                 4.00                      4,218.00                           506.16                4,724.16                              1,250.00                   5,974.16
                                                                                 5.00                      5,974.16                           716.90                6,691.06                              1,250.00                   7,941.06
                                                                                 6.00                      7,941.06                           952.93                8,893.99                              1,106.01                 10,000.00
It will take 6years to reach goalof 10,000
Last deposit would be 1,106.01

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