Answer:
REJECTED
It fails the payback test.
Explanation:
first, we check if payback occurs at year 3;
payback:
-175,000
-65,800
+94,000
+41,000
-105,800
the cashflow until year 3 aren't positive thus, the payback is not achieve
As the discount paymback will make the future cash inflow lower than nominal; the discounted payback will also not be achieve.
Last, let's check if the net present value of the project at 11% is positve:
[tex]\frac{cashflow}{(1 + rate)^{time} } = PV[/tex]
[tex]\left[\begin{array}{ccc}Year&cashflow&PV\\0&-175000&-175,000\\1&-65800&-59,279.28\\2&94000&76,292.51\\3&41000&29,978.85\\4&122000&80,365.18\\5&81200&48,188.25\\&TOTAL&545.51\\\end{array}\right][/tex]
The project achieve a psoitive value at the discount rate of 11%
But, It will be rejected as it fails the payback tests.