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Shao Airlines is considering the purchase of two alternative planes. Plane A has an expected life of 5 years, will cost $100 million, and will produce net cash flows of $28 million per year. Plane B has a life of 10 years, will cost $132 million, and will produce net cash flows of $27 million per year. Shao plans to serve the route for only 10 years. Inflation in operating costs, airplane costs, and fares are expected to be zero, and the company's cost of capital is 9%. By how much would the value of the company increase if it accepted the better project (plane)

Sagot :

Answer:

41.28 million

Explanation:

the net present value of the two alternatives needs to be determined. The appropriate alternative would be the plane with the higher NPV

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be calculated using a financial calculator  

Alternative 1

Cash flow in year 0 = $-100 million

Cash flow each year from year 1 to 5 =  $28 million

I = 9%

NPV = $8.91 million

Alternative 2

Cash flow in year 0 = $-132 million

Cash flow each year from year 1 to 10 =  $27 million

I = 9%

NPV = $41.28 million

The second alternative has the higher NPV and it would increase the value of the company by $41.28 million if accepted

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

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