Question

In: Finance

You are considering creating a new product line in warehouse space that originally cost you $48,997...

You are considering creating a new product line in warehouse space that originally cost you $48,997 9 years ago.   

  • The required machinery would cost $9,515, should last 13 years, after which could be scrapped for $852.
  • Net working capital would need to immediately increase by $3,687, but could return to normal levels after 13 years.
  • Annual sales and operating costs are expected to be $9,189 and $1,999, respectively.
  • 9% of customers are expected to switch over from your existing product lines.
  • Your firm's cost of capital (WACC) is 9% and effective corporate tax rate is 37%.
  • Your firm uses straight line depreciation as its depreciation method.

What is this project's net present value (NPV)?   Enter your answer in decimal format to two decimal places (e.g., $1,538.72 would be entered as 1538.72).

Solutions

Expert Solution

Machinery Cost = $ 9515
Scrap Value =$ 853
Life = 13 years
Depreciation =(Machine cost-Scrap value)/13
9515-852/13= 666
working capital =$3687
PV of working capital at end of 13th year=3687 PVIF(9%, 13)
1202.62
PV of scrap at end of 13th year = 853 PVIF (9%, 13)
278.23
Annual sale =$9189
Operating cost =$1999
WACC = 9%
Calculation of cash inflow
Sale 9189
Less operating cost 1999
Less Depreciation 666
Income 6524
Less Taxes(37%) 2414
Net income 4110
Add Depreciation 666
cash flow 4776
PV of cashflow= 4776 PVAF(9%,13)=35757.45
Calculation of PV cash inflow
($)
PV of cashflow 35757.45
PV of scrap 278.23
PV of working capital 1202.62
PV of cashinflow 37238.3
Calculation of PV cash outflow
($)
Machinery cost 9515
Working Capital 3687
PV of cash outflow 13202
          NPV= PV of cashinflow -PV of cashoutflow
NPV= 37238.30-13202
NPV = $ 24036.30

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