Fin 515 Homework Week 5

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10-8 NPVs, IRRs, and MIRRs for Independent Projects
Edelman Engineering is considering including two pieces of equipment, a truck and an overhead pulley system, in this year’s capital budget. The projects are independent. The cash outlay for the truck is $17,100 and that for the pulley system is $22,430. The firm’s cost of capital is 14%. After-tax cash flows, including depreciation, are as follows:
Year | Truck | Pulley |
1 | $5,100 | $7,500 |
2 | 5,100 | 7,500 |
3 | 5,100 | 7,500 |
4 | 5,100 | 7,500 |
5 | 5,100 | 7,500
Calculate the IRR, the NPV, and the MIRR for each project, and indicate the correct accept-reject decision for each.
IRR = 14.99% and 21.0%
NPV = $408.71 and $3,318.10
MIRR = 14.54% and 17.20%

Completed with Excel

Truck:
NPV = -$17,100 + $5,100 (PVIFA14%,5) = -$17,100 + $5,100(3.4331) = -$17,100 + $17,508.75 = $408.71 = $409 Accept
IRR= rate (nper,pmt,pv,fv) = rate (5,5100,-17100,0) = 14.48% = 14%
FV = FV (rate,nper,pmt,pv) = FV (0.14,5,5100,0) = -$33,711.53 = -$33,712
MIRR: PV Costs= $17,100, N=5 ,PMT=0, FV-33,712
MIRR = rate(nper,pmt,pv,fv) = rate (5,0,17100,-33712)
MIRR= 14.54% Accept

Pulley:
NPV = -$22,430 + $7,500 (3.4331) = -$22,430 + $25,748.12 = $3,318.11 = $3,318 Accept
IRR= rate (nper,pmt,pv,fv) = rate (5,7500,-22430,0) = 21%
FV = FV (rate,nper,pmt,pv) = FV (.14,5,7500,0) = -49,575.78 = -$49,576
MIRR: PV Costs= $22,430, N=5, PV=0, PMT=7500, FV= -$49, 576
MIRR= rate (nper,pmt,pv,fv)
MIRR = rate (5,0,22430,-49576)
MIRR = 17.19% Accept

As long as each has enough funding in order to accomplish both, Both should be accepted. However if only one can be chosen then it should be the Pulley.

10-9 NPVs and IRRs for Mutually Exclusive Projects
Davis Industries must choose between a gas-powered and an electric-powered forklift truck for…...

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