In: Finance
OpenSeas, Inc. is evaluating the purchase of a new cruise ship. The ship would cost $500 million and would operate for 20 years. OpenSeas expects annual cash flows from operating the ship to be $70 million (at the end of each year) and its cost of capital is 12%.
Show your calculations and answer the following questions
Calculate the NPV of the project if the cost of capital is 12%
Calculate the NPV of the project if the cost of capital is 12%
Is the purchase an attractive investment?
Would your answer change if the cost of capital was 13%?
Answer: | ||||||||
Calculation of NPV of new cruise ship | ||||||||
Formula will will use here | ||||||||
NPV = | Present value of Cash inflows - Initial cost | NPV at 13% | ||||||
Initial cost = | 500.00 | Initial cost = | 500.00 | |||||
Year | Cash Inflows | Present value factor @ 12% | Present value of cash inflows | Year | Cash Inflows | Present value factor @ 13% | Present value of cash inflows | |
1 | 70.00 | 0.89286 | 62.50 | 1 | 70.00 | 0.88496 | 61.95 | |
2 | 70.00 | 0.79719 | 55.80 | 2 | 70.00 | 0.78315 | 54.82 | |
3 | 70.00 | 0.71178 | 49.82 | 3 | 70.00 | 0.69305 | 48.51 | |
4 | 70.00 | 0.63552 | 44.49 | 4 | 70.00 | 0.61332 | 42.93 | |
5 | 70.00 | 0.56743 | 39.72 | 5 | 70.00 | 0.54276 | 37.99 | |
6 | 70.00 | 0.50663 | 35.46 | 6 | 70.00 | 0.48032 | 33.62 | |
7 | 70.00 | 0.45235 | 31.66 | 7 | 70.00 | 0.42506 | 29.75 | |
8 | 70.00 | 0.40388 | 28.27 | 8 | 70.00 | 0.37616 | 26.33 | |
9 | 70.00 | 0.36061 | 25.24 | 9 | 70.00 | 0.33288 | 23.30 | |
10 | 70.00 | 0.32197 | 22.54 | 10 | 70.00 | 0.29459 | 20.62 | |
11 | 70.00 | 0.28748 | 20.12 | 11 | 70.00 | 0.26070 | 18.25 | |
12 | 70.00 | 0.25668 | 17.97 | 12 | 70.00 | 0.23071 | 16.15 | |
13 | 70.00 | 0.22917 | 16.04 | 13 | 70.00 | 0.20416 | 14.29 | |
14 | 70.00 | 0.20462 | 14.32 | 14 | 70.00 | 0.18068 | 12.65 | |
15 | 70.00 | 0.18270 | 12.79 | 15 | 70.00 | 0.15989 | 11.19 | |
16 | 70.00 | 0.16312 | 11.42 | 16 | 70.00 | 0.14150 | 9.90 | |
17 | 70.00 | 0.14564 | 10.20 | 17 | 70.00 | 0.12522 | 8.77 | |
18 | 70.00 | 0.13004 | 9.10 | 18 | 70.00 | 0.11081 | 7.76 | |
19 | 70.00 | 0.11611 | 8.13 | 19 | 70.00 | 0.09806 | 6.86 | |
20 | 70.00 | 0.10367 | 7.26 | 20 | 70.00 | 0.08678 | 6.07 | |
Total | 522.86 | Total | 491.73 | |||||
NPV of new cruise ship | NPV of new cruise ship | |||||||
Present value of cash inflows | 522.86 | Present vallue of cash inflows | 491.73 | |||||
Less: Initial cost | 500.00 | Less: Initial cost | 500.00 | |||||
NPV | 22.86 | NPV | -8.27 | |||||
The purchase is an attractive investment | At @13%, the purchase is not an attractive investment due to Negative NPV |