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Liberty University *

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530

Subject

Finance

Date

Feb 20, 2024

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1

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Johnny's Lunches is considering purchasing a new, energy-efficient grill. The grill will cost $39,000 and will be depreciated straight-line over 3 years. It will be sold for scrap metal after 5 years for $9,750. The grill will have no effect on revenues but will save Johnny's $19,500 in energy expenses. The tax rate is 30%. Required: a. What are the operating cash flows in each year? b. What are the total cash flows in each year? c. Assuming the discount rate is 10%, calculate the net present value (NPV) of the cash flow stream. Should the grill be purchased? I noyulicu | nRoyuilcu | neyuncu A B C What are the operating cash flows in each year? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Operating Year | cash Flows $ 0.1% 0 0.00 ; $ L/01% 17,550.00 $ % B 0.1% 17,550.00 3 $ 0.1% 17,550.00 $ % d 0.1% 13,650.00 $ % % 0.1% 13,650.00 GECTC B 2 Explanation: Some values below may show as rounded for display purposes, though unrounded numbers should be used for actual calculations. a. In the following table, we compute the impact on operating cash flows by summing the value of the depreciation tax shield (depreciation x tax rate) plus the net-of-tax improvement in operating income [$19,500 x (1 - tax rate)]. Depreciation Depreciation AOperating Contribution to % Depreciation x 0.30 Income(1 - 0.30) Operating Cash flow $ 0.3333 13,000 3.900.00 $ 13,650 $ 17,550.00 0.3333 13,000 3,900.00 13,650 17,550.00 0.3333 13,000 3,900.00 13,650 17,550.00 0 0 0.00 13,650 13,650.00 0 0 0.00 13,650 13,650.00 b. Total cash flow = operating cash flow + cash flow associated with investments. At time 0, the cash flow from the investment is =$39,000. When the grill is sold at the end of year 5, its book value will be $0, so the sales price, net of tax, will be $9,750 - [0.30 x $9,750] = $6,825. Therefore, total cash flows are: Time Cash Flow 0 -$ 39,000.00 17,550.00 17,550.00 17,550.00 13,650.00 20,475.00 B WN = (= $13,650 + $6,825) c. The net present value of this cash-flow stream, at a discount rate of 10%, is $26,680.64, which is positive. The grill should be purchased.
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