A company is deciding whether to lease or purchase an asset. In this question we will...

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A company is deciding whether to lease or purchase an asset. Inthis question we will evaluate the NPV of the purchasedecision.

The capital cost required to purchase the asset is $1,000,000(at time zero) with a salvage value of $500,000 at the end of the5th year. The purchased asset can be depreciated based on MACRS5-year life depreciation with the half year convention (table A-1at IRS) over six years (from year 0 to year 5).

The asset would yield annual revenue of $350,000 for five years(from year 1 to year 5) and operating cost of $60,000 for year 1 to5. If the income tax is 40% and the annual discount rate is 16%,calculate the NPV for the purchase decision

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4.1 Ratings (537 Votes)

0 1 2 3 4 5
Annual revenue $ 3,50,000 $    3,50,000 $ 3,50,000 $   3,50,000 $      3,50,000
Operating cost $     60,000 $        60,000 $     60,000 $       60,000 $          60,000
Depreciation $ 2,00,000 $    3,20,000 $ 1,92,000 $   1,15,200 $      1,15,200
NOI $     90,000 $      -30,000 $     98,000 $   1,74,800 $      1,74,800
Tax at 40% $     36,000 $      -12,000 $     39,200 $       69,920 $          69,920
NOPAT $     54,000 $      -18,000 $     58,800 $   1,04,880 $      1,04,880
Add: Depreciation $ 2,00,000 $    3,20,000 $ 1,92,000 $   1,15,200 $      1,15,200
OCF $ 2,54,000 $    3,02,000 $ 2,50,800 $   2,20,080 $      2,20,080
Capital expenditure $     10,00,000
After tax salvage value =-((500000-(500000-57600)*40%)) = $     -3,23,040
FCF $   -10,00,000 $ 2,54,000 $    3,02,000 $ 2,50,800 $   2,20,080 $      5,43,120
PVIF at 16% [PVIF = 1/1.16^n] 1 0.86207 0.74316 0.64066 0.55229 0.47611
PV at 16% -1000000 218966 224435 160677 121548 258587
NPV -15788

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Transcribed Image Text

A company is deciding whether to lease or purchase an asset. Inthis question we will evaluate the NPV of the purchasedecision.The capital cost required to purchase the asset is $1,000,000(at time zero) with a salvage value of $500,000 at the end of the5th year. The purchased asset can be depreciated based on MACRS5-year life depreciation with the half year convention (table A-1at IRS) over six years (from year 0 to year 5).The asset would yield annual revenue of $350,000 for five years(from year 1 to year 5) and operating cost of $60,000 for year 1 to5. If the income tax is 40% and the annual discount rate is 16%,calculate the NPV for the purchase decision

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