In: Finance
You are offered a chance to buy an asset for $8,000 that is expected to produce cash flows of $750 at the end of Year 1, $1,000 at the end of Year 2, $850 at the end of Year 3, and $6,250 at the end of Year 4. What rate of return would you earn if you bought this asset?
Ans 3.01%
Year | Project Cash Flows (i) | DF@ 2% (ii) | PV of Project A ( (i) * (ii) ) | DF@ 10% (iii) | PV of Project A ( (i) * (iii) ) | |
0 | -8000 | 1 | (8,000.00) | 1 | (8,000.00) | |
1 | 750 | 0.980 | 735.29 | 0.909 | 681.82 | |
2 | 1000 | 0.961 | 961.17 | 0.826 | 826.45 | |
3 | 850 | 0.942 | 800.97 | 0.751 | 638.62 | |
4 | 6250 | 0.924 | 5,774.03 | 0.683 | 4,268.83 | |
Total | 271.47 | (1,584.28) | ||||
IRR = | Ra + NPVa / (NPVa - NPVb) * (Rb - Ra) | |||||
2% + 271.47 / (271.47+1584.28)*8% | ||||||
3.01% |