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Show All Work 1. Year 1 2 3 4 Cash Flow $600 $-600 $600 $-600 What is the future

ID: 2640890 • Letter: S

Question

Show All Work


1.
Year

1

2

3

4

Cash Flow

$600

$-600

$600

$-600

What is the future value

of the set of cash flows 4 years from now? Assume an interest rate of 10%

2.

Starting today, George

is

going to contribute $3

00 on the first of each month to his retirement

account. His employer will contribute an addi

tional 50%

of the amount George contributes.

If both George

and his employer continue to do this and h

e can earn a monthly rate of .68

%,

how much will George

have in his retirement account 35

years from now?

Explanation / Answer

1. Future value of cash flows = 600*(1+10%)^4-600*(1+10%)^3+600*(1+10%)^2-600*(1+10%)^1

=$145.86

Hence,the present value is $145.86

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We need to use the future value of annuity due formula

Total amount recieved = 300+50%*300

=$450

Future value = (1+0.68%)*450*(((1+0.68%)^(35*12)-1)/0.68%)

=$1080981.87

Hence, the correct answer is $1080981.87