1 answer

For the cash in flows and out flows shown, what will the payment have to be...

Question:

For the cash in flows and out flows shown, what will the payment have to be at the end of Year 8 to pay off the loan taken on Year 0. The rate of interest is as shown and is a yearly rate with annual compounding.

RATE 6%
Years Cash in flows Cash out flows
0 $650,000
1 ($100,000)
2 ($125,000)
3 ($150,000)
4 ($175,000)
5 $0
6 ($200,000)
7 $0
8 ???

Group of answer choices

$61,936

$11,785

$6,302

$54,077


Answers

The payment is computed as shown below:

Year 0 cash inflow = Year 1 cash flow / ( 1 + required rate of return )1 + Year 2 cash flow / ( 1 + required rate of return )2 + Year 3 cash flow / ( 1 + required rate of return )3 + Year 4 cash flow / ( 1 + required rate of return )4 + Year 5 cash flow / ( 1 + required rate of return )5 + Year 6 cash flow / ( 1 + required rate of return )6 + Year 7 cash flow / ( 1 + required rate of return )7 + Year 8 cash flow / ( 1 + required rate of return )8

$ 650,000 = $ 100,000 / 1.061 +  $ 125,000 / 1.062 +  $ 150,000 / 1.063 +  $ 175,000 / 1.064 +  $ 0 / 1.065 +  $ 200,000 / 1.066 +  $ 0 / 1.067 + Value of cash flow in year 8 / 1.068

$ 650,000 - $ 611,140.57 = Value of cash flow in year 8 / 1.068

$ 38,859.43 x 1.068 = Value of cash flow in year 8

Value of cash flow in year 8 = $ 61,936 Approximately

Feel free to ask in case of any query relating to this question

.

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