Question

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A series of 10 end-of-year deposits is made that begins with $9,000 at the end of...

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What amount could be withdrawn at t = 10?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.

Solutions

Expert Solution

$113,554 could be withdrawn at t = 10.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


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