Annual sinking fund


Problem: Gordon Company issued $1,000,000, 10-year bonds and agreed to make annual sinking fund deposits of $80,000. The deposits are made at the end of each year into an account paying 5% annual interest. What amount will be in the sinking fund at the end of 10 years?

80,000 is deposited each year for ten years and 5% of 80,000? Which is 4,000 so, is this right?

                     Fund dep.              Interest                       Total
Year 1            80,000                    4,000                       84,000
Year 2            80,000           4,200(5% of 84,000)         168,200 
Year 3            80,000           8,410(5% of 168,200)       256,610

Before I go any further, should I be adding the 80,000 to the total before I calculate the 5% interest of just calculate the 5% on the total from the previous year. Also, does the term “sinking fund” mean something special? Please advise me if I’m on the right track here. 

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Finance Basics: Annual sinking fund
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