Net Present Value Method for a Service Company Opulence Corporation has recently placed into service some of the largest cruise ships in the world. One of these ships, the Bellwether, can hold up to 3,200 passengers and it can cost $640 million to build. Assume the following additional information: • There will be 300 cruise days per year operated at a full capacity of 3,200 passengers. • The variable expenses per passenger are estimated to be $95 per cruise day. • The revenue per passenger is expected to be $475 per cruise day. • The fixed expenses for running the ship, other than depreciation, are estimated to be $94,848,000 per year. • The ship has a service life of 10 years, with a residual value of $100,000,000 at the end of 10 years Present Value of $1 at Compound Interest Year 6% 10% 12% 15% 20% 0.943 0.909 0.893 0.870 0.833 0.890 0.826 0.797 0.756 0.694 2.

Managerial Accounting
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ISBN:9781337912020
Author:Carl Warren, Ph.d. Cma William B. Tayler
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Chapter12: Capital Investment Analysis
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Net Present Value Method for a Service Company
Opulence Corporation has recently placed into service some of the largest cruise ships in the world. One
of these ships, the Bellwether, can hold up to 3,200 passengers and it can cost $640 million to build.
Assume the following additional information:
There will be 300 cruise days per year operated at a full capacity of 3,200 passengers.
• The variable expenses per passenger are estimated to be $95 per cruise day.
The revenue per passenger is expected to be $475 per cruise day.
The fixed expenses for running the ship, other than depreciation, are estimated to be $94,848,000
per year.
• The ship has a service life of 10 years, with a residual value of $100,000,000 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
0.840
0.751
0.712
0.658
0.579
4
0.792
0.683
0.636
0.572
0.482
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
0.592
0.424
0.361
0.284
0.194
10
0.558
0.386
0.322
0.247
0.162
3.
5.
Transcribed Image Text:Net Present Value Method for a Service Company Opulence Corporation has recently placed into service some of the largest cruise ships in the world. One of these ships, the Bellwether, can hold up to 3,200 passengers and it can cost $640 million to build. Assume the following additional information: There will be 300 cruise days per year operated at a full capacity of 3,200 passengers. • The variable expenses per passenger are estimated to be $95 per cruise day. The revenue per passenger is expected to be $475 per cruise day. The fixed expenses for running the ship, other than depreciation, are estimated to be $94,848,000 per year. • The ship has a service life of 10 years, with a residual value of $100,000,000 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 0.840 0.751 0.712 0.658 0.579 4 0.792 0.683 0.636 0.572 0.482 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 0.592 0.424 0.361 0.284 0.194 10 0.558 0.386 0.322 0.247 0.162 3. 5.
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
4.212
3.791
3.605
3.353
2.991
6
4.917
4.355
4.111
3.785
3.326
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
$4
Variable expenses
Fixed expenses (other than depreciation)
Annual net cash flow
b. Determine the net present value of this investment, assuming a 10% 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
5.
Transcribed Image Text: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 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 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 $4 Variable expenses Fixed expenses (other than depreciation) Annual net cash flow b. Determine the net present value of this investment, assuming a 10% 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 5.
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