Westland College has a telephone system that is in poor condition. The system either can be overhauled or replaced with a new system. The following data have been gathered concerning these two alternatives (Ignore income taxes.): Present System Proposed New System Purchase cost new $ 250,000 $ 300,000 Accumulated depreciation $ 240,000 0 Overhaul costs needed now $ 230,000 0 Annual cash operating costs $ 180,000 $ 170,000 Salvage value at the end of 8 years $ 152,000 $ 165,000 Working capital required 0 $ 200,000 Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided. Westland College uses a 10% discount rate and the total cost approach to capital budgeting analysis. Both alternatives are expected to have a useful life of eight years. The working capital would be released for use elsewhere when the project is completed. The net present value of the alternative of overhauling the present system is closest to: Multiple Choice $(1,194,036) $(1,119,316) $801,284 $(1,279,316)

Respuesta :

The net present value of the alternative of overhauling the present system is closest to $(1,119,316).

How do we calculate net present value?

Note: See the attached photo for the rearrangement of the data in the question on a table.

The net present value (PV) of the alternative of overhauling the present system can therefore be calculated as follows:

PV of present system annual cash operating cost = Present system annual cash operating cost * ((1 - (1 + Discount rate)^-number of years) / discount rate) = $180,000 * ((1 - (1 + 0.1)^-8) / 0.1) = $960,286.72

PV of present system salvage value at the end of 8 years = Salvage value at the end of 8 years / (1 + discount rate)^number of years = $152,000 / (1 + 0.1)^8 = $70,909.12

Therefore, we have:

PV of the alternative of overhauling the present system = PV of present system salvage value at the end of 8 years - Overhaul costs needed now - PV of present system annual cash operating cost = $70,909.12 - $230,000 - $960,286.72 =   –1,119,378, or $(1,119,378)

From the question, the closest option is $(1,119,316).

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