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 |
Brief Exercise G-4 Cullumber Company issued $1,300,000, 11-year bonds and agreed to make annual sinking fund deposits of $75,300. The deposits are made at the end of each year into an account paying 9% annual interest cick here to view the factor table Future Value 1 Cick here to the factor table Future Value of an Annuity of 1 (For calculation purposes, se decimal places as displayed in the factor table provided.) What amount will be in the sinking fund...
Brief Exercise G-4 Cullumber Company issued $1,300,000, 11-year bonds and agreed to make annual sinking fund deposits of $75,300. The deposits are made at the end of each year into an account paying 9% annual interest cick here to view the factor table Future Value 1 Cick here to the factor table Future Value of an Annuity of 1 (For calculation purposes, se decimal places as displayed in the factor table provided.) What amount will be in the sinking fund...
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