Answers
Q1.
Given,
(Note that costs are negative flows and benefits are positive flows)
Net cash flow in year 1 = -$1,000
Net cash flows in years 2 through 5 = -$200 + $500 = $300
Market Interest rate = 5% per year
From the compound interest table, we obtain
(P/F, 5%, 1) = 0.9524
(P/A, 5%, 4) = 3.546
Net Present Value of the above cash flow = Net Cash flow in year 1 x (P/F, 5%, 1) + Net cash flow in year 2 through 5 x (P/A, 5%, 4) x (P/F, 5%, 1) = -$1,000 x 0.9524 + $300 x 3.546 x 0.9524 = -$952.4 + $1,013.2 = $60.8
Ans: $60.8
Q2.
Net cash flow in year 1 = -$800
Net cash flows in years 2 through 5 = -$250 + $500 = $250
Net Present Value of the above cash flow = Net Cash flow in year 1 x (P/F, 5%, 1) + Net cash flow in year 2 through 5 x (P/A, 5%, 4) x (P/F, 5%, 1) =-$800 x 0.9524 + $250 x 3.546 x 0.9524 = -$761.92 + $844.30 = $82.38
Ans: $82.38
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