Aproject that provides annual cash flows of $18300 for ten years costs $89,000 t
ID: 2714311 • Letter: A
Question
Explanation / Answer
At the required rate of 9% you should accept the project as the NPV is positive and at the required rate of 21% you should reject the project as the NPV is negative.
The discount rate at which we can be indifferent between accepting or rejecting the project is called the IRR.
Year Cashflow ROR Present Value NPV Year Cashflow ROR Present Value NPV Year Cashflow IRR Present Value NPV 0 -89000 9% -$89,000.00 $28,443.14 0 -89000 21% -$89,000.00 -$14,810.37 0 -89000 15.833% -$89,000.00 $0.78 1 18300 9% $16,788.99 1 18300 21% $15,123.97 1 18300 15.833% $15,798.61 2 18300 9% $15,402.74 2 18300 21% $12,499.15 2 18300 15.833% $13,639.12 3 18300 9% $14,130.96 3 18300 21% $10,329.87 3 18300 15.833% $11,774.82 4 18300 9% $12,964.18 4 18300 21% $8,537.09 4 18300 15.833% $10,165.34 5 18300 9% $11,893.74 5 18300 21% $7,055.44 5 18300 15.833% $8,775.86 6 18300 9% $10,911.69 6 18300 21% $5,830.94 6 18300 15.833% $7,576.30 7 18300 9% $10,010.73 7 18300 21% $4,818.96 7 18300 15.833% $6,540.71 8 18300 9% $9,184.15 8 18300 21% $3,982.61 8 18300 15.833% $5,646.67 9 18300 9% $8,425.83 9 18300 21% $3,291.42 9 18300 15.833% $4,874.84 10 18300 9% $7,730.12 10 18300 21% $2,720.18 10 18300 15.833% $4,208.51