Net Present Value Method for a Service Company Carnival (CCL) has recently placed into service some of the largest cruise ships in the world. One of these ships, the Carnival Breeze, can hold up to 3,600 passengers, which can cost $750 million to build. Assume the following additional information: There will be 340 cruise days per year operated at a full capacity of 3,600 passengers. The variable expenses per passenger are estimated to be $100 per cruise day. The revenue per passenger is expected to be $280 per cruise day. The fixed expenses for running the ship, other than depreciation, are estimated to be $90,000,000 per year. The ship has a service life of 10 years, with a residual value of $60,000,000 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 3.353 2.991 6 4.917 4.355 4.111 3.785 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 (other than depreciation)   Annual net cash flow                   b.  Determine the net present value of this investment, assuming a 12% minimum rate of return. Use the present value tables provided above. Present value of annual net cash flows   Present value of residual value   Total present value   Amount to be invested   Net present value

Managerial Accounting
15th Edition
ISBN:9781337912020
Author:Carl Warren, Ph.d. Cma William B. Tayler
Publisher:Carl Warren, Ph.d. Cma William B. Tayler
Chapter12: Capital Investment Analysis
Section: Chapter Questions
Problem 11E
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Net Present Value Method for a Service Company

Carnival (CCL) has recently placed into service some of the largest cruise ships in the world. One of these ships, the Carnival Breeze, can hold up to 3,600 passengers, which can cost $750 million to build. Assume the following additional information:

  • There will be 340 cruise days per year operated at a full capacity of 3,600 passengers.
  • The variable expenses per passenger are estimated to be $100 per cruise day.
  • The revenue per passenger is expected to be $280 per cruise day.
  • The fixed expenses for running the ship, other than depreciation, are estimated to be $90,000,000 per year.
  • The ship has a service life of 10 years, with a residual value of $60,000,000 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 3.353 2.991
6 4.917 4.355 4.111 3.785 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 (other than depreciation)  
Annual net cash flow                  

b.  Determine the net present value of this investment, assuming a 12% minimum rate of return. Use the present value tables provided above.

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

 

Net Present Value Method for a Service Company
Carnival (CCL) has recently placed into service some of the largest cruise ships in the world. One of these ships, the Carnival Breeze, can hold up to 3,600 passengers, which can cost $750 million to build. Assume the following additional information:
• There will be 340 cruise days per year operated at a full capacity of 3,600 passengers.
• The variable expenses per passenger are estimated to be $100 per cruise day.
The revenue per passenger is expected to be $280 per cruise day.
The fixed expenses for running the ship, other than depreciation, are estimated to be $90,000,000 per year.
• The ship has a service life of 10 years, with a residual value of $60,000,000 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
0.747
0.621
0.567
0.497
0.402
0.705
0.564
0.507
0.432
0.335
7
0.665
0.513
0.452
0.376
0.279
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%
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
Transcribed Image Text:Net Present Value Method for a Service Company Carnival (CCL) has recently placed into service some of the largest cruise ships in the world. One of these ships, the Carnival Breeze, can hold up to 3,600 passengers, which can cost $750 million to build. Assume the following additional information: • There will be 340 cruise days per year operated at a full capacity of 3,600 passengers. • The variable expenses per passenger are estimated to be $100 per cruise day. The revenue per passenger is expected to be $280 per cruise day. The fixed expenses for running the ship, other than depreciation, are estimated to be $90,000,000 per year. • The ship has a service life of 10 years, with a residual value of $60,000,000 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 0.747 0.621 0.567 0.497 0.402 0.705 0.564 0.507 0.432 0.335 7 0.665 0.513 0.452 0.376 0.279 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% 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
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
3.353
2.991
6
4.917
4.355
4.111
3.785
3.326
7
5.582
4.868
4.564
4.160
3.605
8
6.210
5.335
4.968
4.487
3.837
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 (other than depreciation)
Annual net cash flow
b. Determine the net present value of this investment, assuming a 12% minimum rate of return. Use the present value tables provided above.
Present value of annual net cash flows
Present value of residual value
Total present value
Amount to be invested
Net present value
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 5 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 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 (other than depreciation) Annual net cash flow b. Determine the net present value of this investment, assuming a 12% minimum rate of return. Use the present value tables provided above. Present value of annual net cash flows Present value of residual value Total present value Amount to be invested Net present value
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