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Shao Airlines is considering the purchase of two alternative planes. Plane A has

ID: 2772802 • Letter: S

Question

Shao Airlines is considering the purchase of two alternative planes. Plane A has an expected life of 5 years, will cost $120 million, and will produce net cash flows of $35 million per year. Plane B has a life of 10 years, will cost $145 million, and will produce net cash flows of $28 million per year. Shao plans to serve the route for only 10 years. Inflation in operating costs, airplane costs, and fares is expected to be zero, and the company’s cost of capital is 10%. What is the NPV of plane B on a ten-year equivalent life basis?

$27,047,879 $8,143,286 $9,255,576 $21,595,356 $12,677,537

Explanation / Answer

$27,047,879 Statemnet showing Cash flows Plane B Particulars Time PVf@10% Amount PV Cash Outflows                            -                  1.00 (145,000,000.00)      (145,000,000.00) PV of Cash outflows      (145,000,000.00) Cash inflows                     1.00            0.9091        28,000,000.00          25,454,545.45 Cash inflows                     2.00            0.8264        28,000,000.00          23,140,495.87 Cash inflows                     3.00            0.7513        28,000,000.00          21,036,814.43 Cash inflows                     4.00            0.6830        28,000,000.00          19,124,376.75 Cash inflows                     5.00            0.6209        28,000,000.00          17,385,797.05 Cash inflows                     6.00            0.5645        28,000,000.00          15,805,270.04 Cash inflows                     7.00            0.5132        28,000,000.00          14,368,427.31 Cash inflows                     8.00            0.4665        28,000,000.00          13,062,206.65 Cash inflows                     9.00            0.4241        28,000,000.00          11,874,733.31 Cash inflows                   10.00            0.3855        28,000,000.00          10,795,212.10 PV of Cash Inflows        172,047,878.96 NPV          27,047,878.96

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