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In: Finance

commute the irr static for a project e the appropriatecost of capital is 9%commute...

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

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Expert Solution

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 %


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