Question

For a repayment schedule that starts at EOY four at $Z and proceeds for years 4 through 9 at $2Z, $3Z..., what is the value of Z if the principal of this loan is $11,000 and the interest rate is 7% per year? Use a uniform gradient amount (G) in your solution Click the icon to view the interest and annuity table for discrete compounding when i: 7% per year The value of Z is $. (Round to the nearest cent.)

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Answer #1

Pvf@7% 1 0.93458 2 0.87344 3 0.816:3 4 0.7629 10.7629 5 0.71299 2 1.42597 6 0.66634 3 1.99903 7 0.62275 42.491 8 0.58201 5 2.91005 90.54393 6 3.2636 Year G|PV of G Total 12.8525

I have calculated the present value factor for year 1-9 and ingnored the first three years as they are not relevant. The value of gradient is started from year 4, and present value is calculated by multiplying the gradient with the pvf and its sum is total present value.

The outstanding loan is $11,000

Total P.V of the gradient is 12.8525

The value of Z = 11000/12.8525 = $855.8619

Note: I have used the values of pvf calculated by Excel and have not rounded off so it must be correct but you should verify the values given in interest and annuity table.

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