In: Finance
A project has the following cash flows. Assume an interest rate of 18%. What is the Equivalent Annual Annuity (EAA)?
Year | Cash Flow |
0 | -$1,608 |
1 | $609 |
2 | $1,194 |
3 | $1,018 |
4 | $741 |
Project A | |||||
Discount rate | 0.18 | ||||
Year | 0 | 1 | 2 | 3 | 4 |
Cash flow stream | -1608 | 609 | 1194 | 1018 | 741 |
Discounting factor | 1 | 1.18 | 1.3924 | 1.643032 | 1.9387778 |
Discounted cash flows project | -1608 | 516.1017 | 857.5122 | 619.5862 | 382.19956 |
NPV = Sum of discounted cash flows | |||||
NPV Project A = | 767.4 | ||||
Where | |||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||
Discounted Cashflow= | Cash flow stream/discounting factor | ||||
Equvalent annuity(EAA)= | 285.2723 | ||||
Required rate = | 0.18 | ||||
Year | 0 | 1 | 2 | 3 | 4 |
Cash flow stream | 0 | 285.2723 | 285.2723 | 285.2723 | 285.27226 |
Discounting factor | 1 | 1.18 | 1.3924 | 1.643032 | 1.9387778 |
Discounted cash flows project | 0 | 241.7561 | 204.8781 | 173.6255 | 147.14026 |
Sum of discounted future cashflows = | 767.4 | ||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||
Discounted Cashflow= | Cash flow stream/discounting factor |