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~11 A Ă B I u ov i Av Desktop ALP Ao ... V lell me what you want to do Ev Ev v ... A Styles - e Firm Cullumber Company issued
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Answer #1

Facts of the Question:

Annual Contribution

$ 75,300

Tenure

11 years

Annual Interest rate

9% p.a.

Answer)

Calculation of value of sinking fund at the end of 11 years

Maturity value of sinking fund = (Annual Contribution X Future value of Annuity of $ 1 at 9% rate of interest for 11 years)

                                                                  = ($ 75,300 X 17.56029)

                                                                  = $ 1,322,289.84

Therefore the value of sinking fund at the end of 11 years will be $ 1,322,289.84

Calculation of Future value of Annuity of $ 1 at 9% p.a. for 11 years:

Opening Balance

Contribution

Interest on Opening Balance

Closing Balance

                            -     

1

                                                    -     

                1.00000

                   1.00000

1

                                            0.09000

                2.09000

                   2.09000

1

                                            0.18810

                3.27810

                   3.27810

1

                                            0.29503

                4.57313

                   4.57313

1

                                           0.41158

                5.98471

                   5.98471

1

                                            0.53862

                7.52333

                   7.52333

1

                                            0.67710

                9.20043

                   9.20043

1

                                            0.82804

              11.02847

                 11.02847

1

                                            0.99256

              13.02104

                 13.02104

1

                                            1.17189

              15.19293

                 15.19293

1

                                            1.36736

              17.56029

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