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PLEASE SHOW EXACTLY HOW YOU GOT THE NET PRESENT VALUE!! I came up with Present V

ID: 2736891 • Letter: P

Question

PLEASE SHOW EXACTLY HOW YOU GOT THE NET PRESENT VALUE!! I came up with Present ValueTotal $388,266.08 for a Net Present Value of -11,733.92 (400,000- 388,266.08) but it is wrong some how. PLEASE HELP!

The Summitt Petroleum Corporation will purchase an asset that qualifies for three-year MACRS depreciation. The cost is $400,000 and the asset will provide the following stream of earnings before depreciation and taxes for the next four years: Use Table 12-12.

PLEASE SHOW EXACTLY HOW YOU COMEUP WITH YOUR ANSWERS and SEE THE REST OF THE QUESTION BELOW WITH THE TAX and RATE..thanks

The Summitt Petroleum Corporation will purchase an asset that qualifies for three-year MACRS depreciation. The cost is $400,000 and the asset will provide the following stream of earnings before depreciation and taxes for the next four years: Use Table 12-12.

Explanation / Answer

Calculation of Depreciation for year 1 to year 4 (Three year MACRS Depreciation Method)

Calculation of Operating Cash flow

Earnings before depreciation & tax

(-) Depreciation

180000

133320

236000

177800

82000

59240

74000

29640

Earnings before tax

(-) Tax @ 30 %

46680

14004

58200

17460

22760

6828

44360

13308

Earnings after tax

(+) Depreciation

32676

133320

40740

177800

15932

59240

31052

29640

P.V. of Cash inflow = 165996 * P.V,factor for first year @ 12 % + 218540 * P.V,factor for second year @ 12 % + 75172 * P.V,factor for third year @ 12 % + 60692 * P.V,factor for fourth year @ 12 %

P.V. of Cash inflow = 165996 * 0.893 + 218540 * 0.797 + 75172 * 0.712 + 60692 * 0.636

P.V. of Cash inflow = $ 414533.38

Net Present value = P.V. of Cash inflow - P.V. of cash outflow

= 414533.38 - 400000

   = $ 14533.38 (approx)

Conclusion:- Net Present value (NPV)= $ 14533.38 (approx)

Year Depreciation rate Depreciation Expense = (400000 * Depreciation rate) 1 33.33 % 133320 2 44.45 % 177800 3 14.81 % 59240 4 7.41 % 29640
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