Question

In: Accounting

If P5000.00 is invested at the end of each quarter for 6 years, at an interest...

If P5000.00 is invested at the end of each quarter for 6 years, at an interest rate of 7% compounded bimonthly, what does the total peso amount available 3 years after the last deposit? Draw Cash flow diagram

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Expert Solution

Ans:

Please find attached Sheet below, Formulas sheet is also attached for learning.

Final balance available 3 years after the last deposit : $182,262.57 or $182,263.

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Quarter Beginning of quarter (A) Total amount at beginning (B)

Interest @7% per annum compounded Bimonthly on (C)

Amount Invested (D) End Of Quarter (B + C D)
              1                                  -                            -                                                -                        5,000.00             5,000.00
              2                      5,000.00              5,000.00                                        88.14                      5,000.00          10,088.14
              3                    10,088.14           10,088.14                                     177.83                      5,000.00          15,265.98
              4                    15,265.98           15,265.98                                     269.11                      5,000.00          20,535.09
              5                    20,535.09           20,535.09                                     361.99                      5,000.00          25,897.08
              6                    25,897.08           25,897.08                                     456.52                      5,000.00          31,353.60
              7                    31,353.60           31,353.60                                     552.70                      5,000.00          36,906.30
              8                    36,906.30           36,906.30                                     650.59                      5,000.00          42,556.89
              9                    42,556.89           42,556.89                                     750.20                      5,000.00          48,307.09
            10                    48,307.09           48,307.09                                     851.56                      5,000.00          54,158.65
            11                    54,158.65           54,158.65                                     954.71                      5,000.00          60,113.36
            12                    60,113.36           60,113.36                                  1,059.68                      5,000.00          66,173.05
            13                    66,173.05           66,173.05                                  1,166.51                      5,000.00          72,339.55
            14                    72,339.55           72,339.55                                  1,275.21                      5,000.00          78,614.76
            15                    78,614.76           78,614.76                                  1,385.83                      5,000.00          85,000.59
            16                    85,000.59           85,000.59                                  1,498.40                      5,000.00          91,498.99
            17                    91,498.99           91,498.99                                  1,612.95                      5,000.00          98,111.94
            18                    98,111.94           98,111.94                                  1,729.53                      5,000.00       1,04,841.47
            19                 1,04,841.47        1,04,841.47                                  1,848.16                      5,000.00       1,11,689.63
            20                 1,11,689.63        1,11,689.63                                  1,968.88                      5,000.00       1,18,658.50
            21                 1,18,658.50        1,18,658.50                                  2,091.72                      5,000.00       1,25,750.23
            22                 1,25,750.23        1,25,750.23                                  2,216.74                      5,000.00       1,32,966.96
            23                 1,32,966.96        1,32,966.96                                  2,343.96                      5,000.00       1,40,310.92
            24                 1,40,310.92        1,40,310.92                                  2,473.42                      5,000.00       1,47,784.33
            25                 1,47,784.33        1,47,784.33                                  2,605.16                                  -         1,50,389.49
            26                 1,50,389.49        1,50,389.49                                  2,651.08                                  -         1,53,040.57
            27                 1,53,040.57        1,53,040.57                                  2,697.81                                  -         1,55,738.39
            28                 1,55,738.39        1,55,738.39                                  2,745.37                                  -         1,58,483.76
            29                 1,58,483.76        1,58,483.76                                  2,793.77                                  -         1,61,277.53
            30                 1,61,277.53        1,61,277.53                                  2,843.02                                  -         1,64,120.54
            31                 1,64,120.54        1,64,120.54                                  2,893.13                                  -         1,67,013.68
            32                 1,67,013.68        1,67,013.68                                  2,944.13                                  -         1,69,957.81
            33                 1,69,957.81        1,69,957.81                                  2,996.03                                  -         1,72,953.84
            34                 1,72,953.84        1,72,953.84                                  3,048.85                                  -         1,76,002.69
            35                 1,76,002.69        1,76,002.69                                  3,102.59                                  -         1,79,105.29
            36                 1,79,105.29        1,79,105.29                                  3,157.29                                  -        1,82,262.57


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