Rio Claro, Inc. (RCI) is in the business of transporting cargo between ports in California and Washington. Its fleet includes a small dry-cargo vessel, theMaracas. TheMaracasis 25 years old and badly in need of an overhaul.

It is March 2016, and Michael John, the finance director, has just been presented with a proposal that would require the one-time expenditures shown below in Table 1. If the proposal is accepted, these expenditures will be made in the next few days. Mr. John believes that all these outlays could be depreciated for tax purposes in the seven-year MACRS class (see Table 2 below for rates). Overhaul of theMaracaswill begin as soon as the expenditures in Table1 are made, but the vessel will be out of service for several months. The overhauled vessel would resume commercial service in one year. RCIs chief engineers estimates of the post-overhaul operating costs are in Table 3.

In addition to the overhaul described above, the chief engineer suggests installation of a brand- new engine and control system. Installation of this new engine would cost an extra $600,000 (This additional outlay would also qualify for tax depreciation in the seven-year MACRS class.). However, if the additional equipment is installed, it would result in reduced fuel, labor, and maintenance costs as shown in Table 4.

The operating cost estimates in Tables 3 and 4 are current for March 2016. However, these costs will increase with inflation, which is forecasted at 1.25% a year. Depreciation and operating costs attributable to the overhaul of theMaracaswill begin one year after the vessel is put back into commercial service. The revenues from operating the vessel will be the same for both types of overhaul.

Even with the proposed overhaul, theMaracascannot continue forever. After the overhaul, its remaining useful life is estimated to be only 12 years. Its salvage value when finally taken out of service will be trivial. Thus, Mr. John feels it is unwise to proceed without also considering the purchase of a new vessel. Racette & Sons (R&S), a Colorado shipyard, has approached RCI with a design incorporating a Kort nozzle, extensively automated navigation and power control systems, and much more comfortable accommodations for the crew. R&S is offering the new vessel for a fixed price of $3,000,000, payable half immediately and half on delivery in one year. Estimated annual operating costs of the new vessel are in Table 5. The operating cost estimates in the table are current for March 2016, but will increase with inflation.

The crew would require additional training to handle the new vessels more complex and sophisticated equipment. Training would result in a one-time cost of $50,000 payable one year following delivery of the new vessel. This cost is tax deductible.

The estimated operating costs for the new vessel assume that it would be operated in the same way as theMaracas. However, the new vessel will be able to handle a larger load on some routes, which is expected to generate additional revenues, net of additional operating costs, of approximately $175,000 per year in the first year of operation. These revenues are expected to grow at the rate of inflation. Revenues and operating costs from the new vessel will begin one year after it is delivered. The new vessel is estimated to have a useful service life of 20 years, but it will be depreciated for tax purposes according to the 7-year MACRS schedule. The new vessel is not expected to have any resale value at the end of its 20-year useful life.All revenues and costs (including depreciation) associated with the new vessel will begin one year after it is delivered.

TheMaracasis carried on RCIs books at a book value of only $100,000, but could probably be sold as is, together with its extensive inventory of spare parts, for $200,000. The book value of the spare parts inventory is $40,000.

Mr. John stepped out on the foredeck of theMaracasas she chugged down the Cook Inlet. A rusty old tub, he muttered, but shes never let us down.Ill bet we could keep her going until next year while Racette & Sons are building her replacement. We could use up the spare parts to keep her going. We should even be able to sell or scrap her for book value when her replacement arrives.

RCI evaluates capital investments of this type using a 8.5% cost of capital. (This is a nominal, not real, rate.) RCIs tax rate is 35%.

Table 1: Overhaul Expenditures

Overhaul engine and generators

$340,000

Replace radar and other electronic equipment

75,000

Repairs to hull and superstructure

310,000

Painting and other repairs

95,000

$820,000

Table 2: Depreciation (in %) for the 7-year Modified Accelerated Cost Recovery System

Year 1

14.29

Year 2

24.49

Year 3

17.49

Year 4

12.49

Year 5

8.93

Year 6

8.93

Year 7

8.93

Year 8

4.45

Table 3: Post-overhaul Operating Costs (Basic Overhaul)

Fuel

$450,000

Labor and benefits

480,000

Maintenance

141,000

Other

110,000

$1,181,000

Table 4: Post-overhaul Operating Costs (Overhaul plus new engine & contro system)

Fuel

$400,000

Labor and benefits

405,000

Maintenance

105,000

Other

110,000

$1,020,000

Table 5: Operating Costs of New Vessel

Fuel

$380,000

Labor and benefits

330,000

Maintenance

70,000

Other

105,000

$885,000

Calculate the Present Value of Buying and Operating the New Vessel.