In: Finance
commute the irr static for a project e the appropriate cost of capital is 9%
commute the irr static for project e the appropriate cost of capital is 9%, project e time cash flow minus 1200 $430 $540 $560 $340 $140 the irr is
IRR :
IRR is the Rate at which PV of Cash Inflows are equal to PV of Cash
Outflows or Rate of growth is expected from project/ Investment. At
IRR, NPV of Project/ Investment will be Zero.
It assumes that intermediary Cfs are reinvested at IRR only.
IRR = Rate at which least +ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in disc rate ] * 1%
If IRR > Cost of Capital - Project can be accepted
IRR = Cost of Capital - Indifferebce Point - Project will be
accepted / Rejected
IRR < Cost of Capital - Project will be erejected
Year | CF | PVF @23 % | Disc CF | PVF @24 % | Disc CF |
0 | $ -1,200.00 | 1.0000 | $ -1,200.00 | 1.0000 | $ -1,200.00 |
1 | $ 430.00 | 0.8130 | $ 349.59 | 0.8065 | $ 346.77 |
2 | $ 540.00 | 0.6610 | $ 356.93 | 0.6504 | $ 351.20 |
3 | $ 560.00 | 0.5374 | $ 300.93 | 0.5245 | $ 293.71 |
4 | $ 340.00 | 0.4369 | $ 148.55 | 0.4230 | $ 143.81 |
5 | $ 140.00 | 0.3552 | $ 49.73 | 0.3411 | $ 47.76 |
NPV | $ 5.73 | $ -16.75 |
IRR = Rate at which least +ve NPV + [ NPV at that rate / Change
in NPV due to Inc of 1% in Int Rate ] * 1%
= 23 % + [ 5.73 / ( 5.73 - ( -16.75) ) ] * 1 %
= 23 % + [ 5.73 / ( 22.48) ] * 1 %
= 23 % + [ 0.25 ] * 1 %
= 23 % + 0.25 %
= 23.25 %