Answer:
a) IRR
IRR = 9%
b)
Since the IRR is less than the hurdle rate , the project should be rejected. An IRR with higher than the hurdle rate implies that the project would decrase the wealth of ths shareholders
Explanation:
IRR = a% + ( NPVa/(NPVa + NPVb)× (b-a)%
NPV = PV of annual savings - initial cost
PV of annual savings = A× (1- (1+r)^(-n) )/r
A- annual savings in operating cost , r- rate of return, n- number of years
NPVa
PV of annual savings = 1,287,000 × (1- 1.15^(-11))/0.15= 6,735,787.15
NPV = 6,735,787.15 - 9,187,846.67.= 2,452,059.52
NPVb
PV of annual savings = (1,287,000 × (1- 1.03^(-11))/0.03=11908127.23
NPV b = 11908127.23
-9187846.67
=2720280.564
IRR = 3% + ( 2720280.564
/(2720280.564
+2,452,059.52) )× (15-3)%
IRR = 9%
Since the IRR is less than the hurdle rate , the project should be rejected. An IRR with higher than the hurdle rate implies that the project would decrase the wealth of ths shareholders