In: Finance
11.
Project L requires an initial outlay at t = 0 of $70,000, its expected cash inflows are $16,000 per year for 9 years, and its WACC is 13%. What is the project's discounted payback? Do not round intermediate calculations. Round your answer to two decimal places.
________________years
Ans 6.89 years
Year | Project Cash Flows (i) | DF@ 13% | DF@ 13% (ii) | PV of Project A ( (i) * (ii) ) | Cumulative Cash Flow |
0 | -70000 | 1 | 1 | (70,000.00) | (70,000.00) |
1 | 16000 | 1/((1+13%)^1) | 0.885 | 14,159.29 | (55,840.71) |
2 | 16000 | 1/((1+13%)^2) | 0.783 | 12,530.35 | (43,310.36) |
3 | 16000 | 1/((1+13%)^3) | 0.693 | 11,088.80 | (32,221.56) |
4 | 16000 | 1/((1+13%)^4) | 0.613 | 9,813.10 | (22,408.46) |
5 | 16000 | 1/((1+13%)^5) | 0.543 | 8,684.16 | (13,724.30) |
6 | 16000 | 1/((1+13%)^6) | 0.480 | 7,685.10 | (6,039.20) |
7 | 16000 | 1/((1+13%)^7) | 0.425 | 6,800.97 | 761.77 |
8 | 16000 | 1/((1+13%)^8) | 0.376 | 6,018.56 | 6,780.32 |
9 | 16000 | 1/((1+13%)^9) | 0.333 | 5,326.16 | 12,106.48 |
NPV | 12,106.48 | ||||
Discounted Payback Period = | 6 years + 6039.20/6800.97 | ||||
6.89 years | |||||