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 | ||||