In: Finance
A series of 10 end-of-year deposits is made that begins with $9,000 at the end of year 1 and decreases at the rate of $300 per year with 8% interest.
What amount could be withdrawn at t = 10? Type your answer here Round entry to the nearest dollar. Tolerance is ±4. Do it by hand and show your work please.
$113,554 could be withdrawn at t = 10.
all the deposits are made at the end of year. so, first deposit in year 1 and last deposit in year 10 will not receive any interest.
Year | Beginning balance | Reduction | Deposit | Interest | Ending balance |
1 | $0 | $0 | $9,000 | $0 | $9,000 |
2 | $9,000 | $300 | $8,700 | $720 | $18,420 |
3 | $18,420 | $300 | $8,400 | $1,474 | $28,294 |
4 | $28,294 | $300 | $8,100 | $2,263 | $38,657 |
5 | $38,657 | $300 | $7,800 | $3,093 | $49,550 |
6 | $49,550 | $300 | $7,500 | $3,964 | $61,014 |
7 | $61,014 | $300 | $7,200 | $4,881 | $73,095 |
8 | $73,095 | $300 | $6,900 | $5,848 | $85,842 |
9 | $85,842 | $300 | $6,600 | $6,867 | $99,310 |
10 | $99,310 | $300 | $6,300 | $7,945 | $113,554 |
Calculation