Question

Opulence Corporation operates several large cruise ships. One of these ships, the Bellwether, can hold up...

Opulence Corporation operates several large cruise ships. One of these ships, the Bellwether, can hold up to 2,800 passengers and cost $560 million to build. Assume the following additional information:

  • There will be 300 cruise days per year operated at a full capacity of 2,800 passengers.
  • The variable expenses per passenger are estimated to be $75 per cruise day.
  • The revenue per passenger is expected to be $375 per cruise day.
  • The fixed expenses for running the ship, other than depreciation, are estimated to be $65,520,000 per year.
  • The ship has a service life of 10 years, with a residual value of $90,000,000 at the end of 10 years.
Present Value of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826 0.797 0.756 0.694
3 0.840 0.751 0.712 0.658 0.579
4 0.792 0.683 0.636 0.572 0.482
5 0.747 0.621 0.567 0.497 0.402
6 0.705 0.564 0.507 0.432 0.335
7 0.665 0.513 0.452 0.376 0.279
8 0.627 0.467 0.404 0.327 0.233
9 0.592 0.424 0.361 0.284 0.194
10 0.558 0.386 0.322 0.247 0.162
Present Value of an Annuity of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 1.833 1.736 1.690 1.626 1.528
3 2.673 2.487 2.402 2.283 2.106
4 3.465 3.170 3.037 2.855 2.589
5 4.212 3.791 3.605 3.352 2.991
6 4.917 4.355 4.111 3.784 3.326
7 5.582 4.868 4.564 4.160 3.605
8 6.210 5.335 4.968 4.487 3.837
9 6.802 5.759 5.328 4.772 4.031
10 7.360 6.145 5.650 5.019 4.192

a. Determine the annual net cash flow from operating the cruise ship.

Revenues $
Variable expenses
Fixed expenses
Annual net cash flow $

b. Determine the net present value of this investment, assuming a 6% minimum rate of return. Use the present value tables provided above. If required, round to the nearest whole dollar.

Present value of annual net cash flows $
Present value of residual value
Total present value $
Amount to be invested
Net present value $

Homework Answers

Answer #1
Req a.
Annual cash flows:
Annual revenues (2800*300*375) 31,50,00,000
Less: Annual variable cost (2800*300*75) 6,30,00,000
Less: Annual fixed cost 6,55,20,000
Annual cash flows: 18,64,80,000
Req b.
Present value of Annual net cashflows 1372,492,800
(186480,000 * Annuity PVf at 6% i.e. 7.360)
Present value of Salvage 5,02,20,000
(90000,000*PVF i.e. 0.558)
Total Present value 1,42,27,12,800
Less: Investment 56,00,00,000
Net present value 86,27,12,800
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