In: Accounting
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.
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 |