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Wednesday, 18 October 2017

A project that costs $3,000 to install will provide annual cash flows of $650 for the next 6 years. The firm accepts projects with payback periods of less than 4 years.

A project that costs $3,000 to install will provide annual cash flows of $650 for the next 6 years. The firm accepts projects with payback periods of less than 4 years.


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Explanation
Some values below may show as rounded for display purposes, though unrounded numbers should be used for actual calculations.

a.
Payback period = $3,000 / $650 = 4.615 years
b.
This is more than the cutoff, so the firm would reject the project.
c-1.
r = 2%
NPV = −$3,000 + [$650 × Annuity factor (2%, 6 years)]

=$3,000 + $650× [1.02 1.02 × (1.02)6]= $640.93
d-1.
r = 11% NPV = −$3,000 + [$650 × Annuity factor (11%, 6 years)]
=$3,000 + $650× [1.11 1.11 × (1.11)6]= −$250.15
c-2. & d-2.
If r = 2%, the project should be pursued; at r = 11%, it should not be.
Thank you!

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