The Diamond Freight Company has been offered a seven-year contract to haul munit
ID: 2415047 • Letter: T
Question
The Diamond Freight Company has been offered a seven-year contract to haul munitions for the government. Because this contract would represent new business, the company would have to purchase several new heavy-duty trucks at a cost of $350,000 if the contract were accepted. Other data relating to the contract follow:
Annual net cash receipts (before taxes)
from the contract
$105,000
Salvage value of the trucks at termination
of the contract
$18,000
The trucks will have a useful life of seven years. To raise money to assist in the purchase of the new trucks, the company will sell several old, fully depreciated trucks for a total selling price of $16,000. The company requires a 16% after-tax return on all equipment purchases. The tax rate is 30%. For tax purposes, the company computes depreciation deductions assuming zero salvage value and using straight-line depreciation on the full cost of the trucks ($350,000). The new trucks would be depreciated over the seven year life.
The Diamond Freight Company has been offered a seven-year contract to haul munitions for the government. Because this contract would represent new business, the company would have to purchase several new heavy-duty trucks at a cost of $350,000 if the contract were accepted. Other data relating to the contract follow:
Explanation / Answer
Depreciaton =( Cost-Salvage Value )/Life = (350000-0)/7 = 50,000 Year Receipts Depreciation Net Cash Before Tax Tax Net Cash After Tax( Incl Depreciation) 1 105,000 50,000 55,000 38,500 66,500 2 105,000 50,000 55,000 38,500 66,500 3 105,000 50,000 55,000 38,500 66,500 4 105,000 50,000 55,000 38,500 66,500 5 105,000 50,000 55,000 38,500 66,500 6 105,000 50,000 55,000 38,500 66,500 7 105,000 50,000 55,000 38,500 66,500 Caluclation of Net Present Value Since Cash flowas are after tax, Cost of Capital is also after tax = 16% Year Cash Flow Present Vale Factor @ 16% Present Value 0 (350,000) 1.00 (350,000) 1 66,500 0.86 57,328 2 66,500 0.74 49,420 3 66,500 0.64 42,604 4 66,500 0.55 36,727 5 66,500 0.48 31,662 6 66,500 0.41 27,294 7 66,500 0.35 23,530 NPV (81,435) Caluclation of IRR IRR is the Rate at which NPV is Zero Year Cash Flow Present Vale Factor @ 7.7% Present Value 0 (350,000) 1.00 (350,000) 1 66,500 0.93 61,746 2 66,500 0.86 57,331 3 66,500 0.80 53,232 4 66,500 0.74 49,426 5 66,500 0.69 45,893 6 66,500 0.64 42,612 7 66,500 0.59 39,565 (195) IRR Is 7.7% (Approxmately)
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