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Project A has an initial cost of $80,000 and provides cash inflows of $34,000 a

ID: 2774354 • Letter: P

Question

Project A has an initial cost of $80,000 and provides cash inflows of $34,000 a year for three years. Project B has an initial cost of $80,000 and produces a cash inflow of $114,000 in year three. The projects are mitially exclusive.Which project(s) should you accept if the discount rate is 11.7 percent? What if the discount rate is 13.5 percent? A. Accept A as it always has the higher NPV. B. Accept B as it always has the higher NPV. C. Accept A at 11.7 percent and B at 13.5 percent. D. Accept B at 11.7 percent and A at 13..5 percent E. Accept A at 11.7 percent and neither at 13.5 percent

Explanation / Answer

E. Accept A at 11.7 percent and neither at 13.5 percent Statement showing NPV Project A Project B Particulars Time PVf@11.7% Amount PV Amount PV Cash Outflows                            -                  1.00              (80,000.00)                (80,000.00)             (80,000.00)                   (80,000.00) PV of Cash outflows                (80,000.00)                   (80,000.00) Cash inflows                     1.00            0.8953                34,000.00                   30,438.68                                    -   Cash inflows                     2.00            0.8015                34,000.00                   27,250.38                                    -   Cash inflows                     3.00            0.7175                34,000.00                   24,396.04             114,000.00                     81,798.50 PV of Cash Inflows                   82,085.10                     81,798.50 NPV                     2,085.10                       1,798.50 Statement showing NPV Project A Project B Particulars Time PVf@13.5% Amount PV Amount PV Cash Outflows                            -                  1.00              (80,000.00)                (80,000.00)             (80,000.00)                   (80,000.00) PV of Cash outflows                (80,000.00)                   (80,000.00) Cash inflows                     1.00            0.8811                34,000.00                   29,955.95                                    -   Cash inflows                     2.00            0.7763                34,000.00                   26,392.90                                    -   Cash inflows                     3.00            0.6839                34,000.00                   23,253.66             114,000.00                     77,968.16 PV of Cash Inflows                   79,602.51                     77,968.16 NPV                      (397.49)                     (2,031.84)