Hello Nandita,
the answer you have provided is the correct one or what you have calculated?
Before calculation of depreciation tax shield, we need to understand Depreciation is non cash expenditure and why it is included in capital budgeting because it reduces the taxes that we need to pay.( Saves/reduces cash outflow)
Also always calculate depreciation tax shield and Net gain/loss on sale separately. If you keep the items separate, it will be much clearer and you will not get confused.
Depreciation tax shield ( Tax saved) = Depreciation for the year X Corporate Tax rate
= 1,000,000 X 7.41% X 40% = 29,640
Net again on Sale = Book value less Actual sale value.... Please note in capital budgeting, always consider the book value as tax basis value of the asset at the time/year of sale. In this case, the tax basis is of the asset is 0 ( Zero) because the asset is fully depreciated at the end of the project. And then the asset is sold for $400,000. Hence entire $400,000 is a gain and since it is a gain, you have to pay tax on it, which is 40%. Hence only 60% is your cash flow. $400,000 X 60% = $240,000
Hence 29,640 + 240,000 = 269,640
You should not take the additional the 59,640 what you have shown in the answer.
Hence the answer should be $240,000 ( Operating cash flow) + 269,640 ( As above) + 250,000 ( working capital)= $759,640
If the question asks for PV of the cash flows, then we would further discount this value by the PV factor for $1 as provided in the table, which is
.68301Let me know if this is clear.
Thanks,
Kiran

Kiran S Kulkarni
BENGALURU
India

Original Message:
Sent: 05292021 08:20 AM
From: Nanditha James
Subject: Help with calculation of cashflow for final year.
Dear All,
I need some help with the calculation of cash flows. I am confused with depreciation tax shield calculation and also the net of tax on gain calculation. I have an unclear understanding of the entire formula. I have added a question with the answer. Would be great if you could help!
Carl Corporation is considering a $1,000,000 investment that will have a threeyear life. Working capital of $250,000 will be required at the beginning of the project. At the end of the project, the equipment will be sold for an estimated $400,000. Carl Corporation's required rate of return is 10%. The company expects annual cash flow of $400,000. Carl Corporation's tax rate is 40%. The equipment will be depreciated over a threeyear period for tax purposes, and the depreciation rates for tax purposes (MACRS) are as follows:
Year Depreciation rate
1 33.33%
2 44.45%
3 14.61%
4 7.41%
Present value factors are as follows:
Year  PV of $1  PV of an Annuity





 10%  10%  11%  11%  12%  12% 
1  .90909  .90909  .89286  .90909  .90909  .89286 
2  .82645  81162  .79719  .73554  .71252  .69005 
3  .75132  .73119  .71178  .48685  .44371  .40183

4  .68301  65873  .63552  .16986  .10245  .03735

What is the cash flow in the final year?
The answer:
The final year's cash flow consists of:
Operating cash flow $240,000
Depreciation Tax Shield 59,240
Proceeds from sale,
net of tax on gain:
$400,000.4*(400,00074100) 269,640
Released working capital 250,000
Total cash flow 818,880
Could you explain the answer? Thank you!
Regards,
Nanditha James