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25. Managers at Titan’s Furniture are considering the purchase of a new computer

ID: 2456537 • Letter: 2

Question

25. Managers at Titan’s Furniture are considering the purchase of a new computer system. The following estimates are available:

Initial outlay $16,000

Annual cost savings from new system   $4,100

Estimated life of computer   5 years

Estimated residual life   $0

Required:

Determine the internal rate of return for the computer purchase.

Indicate whether the computer purchase should be accepted under each of the following assumptions:

1) The cost of capital is 5.75%?

2) The cost of capital is 6%?

3) The cost of capital is 9.15%

4) The cost of capital is 12%?

Explanation / Answer

Statemnet showing Cash flows Particulars Time PVf@8% Amount PV Cash Outflows                                 -                                          1.00 (16,000.00)      (16,000.00) PV of Cash outflows      (16,000.00) Cash inflows                          1.00                                   0.9259        4,100.00           3,796.30 Cash inflows                          2.00                                   0.8573        4,100.00           3,515.09 Cash inflows                          3.00                                   0.7938        4,100.00           3,254.71 Cash inflows                          4.00                                   0.7350        4,100.00           3,013.62 Cash inflows                          5.00                                   0.6806        4,100.00           2,790.39 PV of Cash Inflows         16,370.11 NPV               370.11 Statemnet showing Cash flows Particulars Time PVf@9% Amount PV Cash Outflows                                 -                                          1.00 (16,000.00)      (16,000.00) PV of Cash outflows      (16,000.00) Cash inflows                          1.00                                   0.9174        4,100.00           3,761.47 Cash inflows                          2.00                                   0.8417        4,100.00           3,450.89 Cash inflows                          3.00                                   0.7722        4,100.00           3,165.95 Cash inflows                          4.00                                   0.7084        4,100.00           2,904.54 Cash inflows                          5.00                                   0.6499        4,100.00           2,664.72 PV of Cash Inflows         15,947.57 NPV               (52.43) NPV @8%                      370.11 NPV @9%                      (52.43) Diff @1%                      422.54 IRR = 8% + 1%*370.11/422.54 IRR = 8.88% 1) The cost of capital is 5.75% Yes , Since IRR is higher than cost of capital 2) The cost of capital is 6%? Yes , Since IRR is higher than cost of capital 3) The cost of capital is 9.15% No , Since IRR is lower than cost of capital 4) The cost of capital is 12%? No , Since IRR is lower than cost of capital

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