In: Finance
A project has an initial cost of $63,000, expected net cash inflows of $9,000 per year for 11 years, and a cost of capital of 12%. What is the project's MIRR? Do not round intermediate calculations. Round your answer to two decimal places.
Step-1:Calculation of future Value of Annual cash inflows | ||||||||||
Year | Cash flows | Future value of 1 | Future Value of cash inflows | |||||||
a | b | c=1.12^(11-a) | d=b*c | |||||||
1 | $ 9,000 | 3.1058 | $ 27,952.63 | |||||||
2 | 9,000 | 2.7731 | 24,957.71 | |||||||
3 | 9,000 | 2.4760 | 22,283.67 | |||||||
4 | 9,000 | 2.2107 | 19,896.13 | |||||||
5 | 9,000 | 1.9738 | 17,764.40 | |||||||
6 | 9,000 | 1.7623 | 15,861.08 | |||||||
7 | 9,000 | 1.5735 | 14,161.67 | |||||||
8 | 9,000 | 1.4049 | 12,644.35 | |||||||
9 | 9,000 | 1.2544 | 11,289.60 | |||||||
10 | 9,000 | 1.1200 | 10,080.00 | |||||||
11 | 9,000 | 1.0000 | 9,000.00 | |||||||
Total | 1,85,891.25 | |||||||||
Step-2:Present Value of cash outflows | ||||||||||
Present value of cash outflows | $ -63,000 | |||||||||
Step-3:Calculation of Project's MIRR | ||||||||||
MIRR | = | ((Future Value of cash inflows / Present value of cah outflows)^(1/11))-1 | ||||||||
= | ((185891.25/63000)^(1/11))-1 | |||||||||
= | 10.34% | |||||||||