Question

In: Accounting

Some new production machinery has a first cost of $100,000 and a useful like of 10...

Some new production machinery has a first cost of $100,000 and a useful like of 10 years. Its estimated operating and maintenance costs are $10,000 the first year, which will increase annually by $4000. The asset’s before-tax market value will be $50,000 at the end of the first year and then will decrease by $5000 annually. This property is a 7-year MACRS property. The company uses a 6% after tax MARR and is subject to a combined federal/state tax rate of 40%. Calculate the after tax cash flows. The spreadsheet also needs to be able to use WACC in place of a given interest rate. The spreadsheet needs to accommodate different tax rates, and must include ATCF for O&M and Depreciation and ATCFs of disposal if the equipment is sold in each of the 10 years. Combine these to Identify the optimal life.

Solutions

Expert Solution

Life in Yrs. BT-O&M AT-O&M Depn. Tax shield=Annual MACRS%*100000*40% MV ATCF on Sal Val. ATCFs for the yr. PV F at 6%(1/1.06^Yr.n) PV at 6% PV ofNet ATCF/P/A (1-1.06^-n)/0.06
1 2 3=2*(1-40%) 4 5 6(Table- 1) 7=6+4-2 8 9=7*8 10=P/A F 11=9/10
1 10000 6000 5716 50000 64284 64000 0.943396 60377.36 0.943396 64000
2 14000 8400 9796 45000 51488 52884 0.889996 47066.57 1.833393 25671.84
3 18000 10800 6996 40000 41492 37688 0.839619 31643.57 2.673012 11838.17
4 22000 13200 4996 35000 33496 25292 0.792094 20033.63 3.465106 5781.54
5 26000 15600 3572 30000 26924 14896 0.747258 11131.16 4.212364 2642.50
6 30000 18000 3568 25000 20356 5924 0.704961 4176.186 4.917324 849.28
7 34000 20400 3572 20000 13784 -3044 0.665057 -2024.43 5.582381 -362.65
8 38000 22800 1784 15000 9000 -12016 0.627412 -7538.99 6.209794 -1214.05
9 42000 25200 10000 6000 -19200 0.591898 -11364.5 6.801692 -1670.83
10 46000 27600 5000 3000 -24600 0.558395 -13736.5 7.360087 -1866.35
Optimal life will be 6 years, after which NPV of benefits is outweighed by costs.
Table-1
ATCFs of disposal if the equipment is sold in each of the 10 years
Year 1 2 3 4 5 6 7 8 9 10
Cost 100000 100000 100000 100000 100000 100000 100000 100000 100000 100000
Acc.Depn. 14290 38780 56270 68760 77690 86610 95540 100000 100000 100000
C/V 85710 61220 43730 31240 22310 13390 4460 0 0 0
Sal.Value 50000 45000 40000 35000 30000 25000 20000 15000 10000 5000
Loss/(Gain) 35710 16220 3730 -3760 -7690 -11610 -15540 -15000 -10000 -5000
Tax saved 14284 6488 1492 -1504 -3076 -4644 -6216 -6000 -4000 -2000
Sal.V+Tx/S 64284 51488 41492 33496 26924 20356 13784 9000 6000 3000

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