Question
(Comprehensive problem)You would like to have $55,000 in 12 years. To accumulate this amount, you plan to deposit an equal sum in the bank each
(Comprehensive problem)You would like to have
$55,000
in
12
years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn
10
percent interest compounded annually. Your first payment will be made at the end of the year.
a.How much must you deposit annually to accumulate this amount?
b.If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn
10
percent on this deposit.)c.At the end of five years, you will receive
$20,000
and deposit this in the bank toward your goal of
$55,000
at the end of year
12.
In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn
10
percent on your deposits.)
Question content area bottom
Part 1
a.How much must you deposit annually to accumulate this amount?
$enter your response here
(Round to the nearest cent.)
Part 2
b.If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be?
$enter your response here
(Round to the nearest cent.)
Part 3
c.If you deposit
$20,000
received at the end of five years in the bank, what will the amount grow to by the end of year
12?
$enter your response here
(Round to the nearest cent.)
Part 4
In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal?
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