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 $29 million per year. Plane B has a life of 10 years, will cost $132 million and will produce net cash flows of $24 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 8%.
By how much would the value of the company increase if it
accepted the better project (plane)? Enter your answer in millions.
For example, an answer of $1.2 million should be entered as 1.2,
not 1,200,000. Round your answer to two decimal places.
$ million
What is the equivalent annual annuity for each plane? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answers to two decimal places.
Plane A | $ million |
Plane B | $ million |
Plan A | A | B | C | D | E | F | G | H | I | J | K | |
1 | Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
2 | Initial Investment | -100 | ||||||||||
3 | Nt cash flows | 29 | 29 | 29 | 29 | -71 | 29 | 29 | 29 | 29 | 29 | |
4 | Cost of Capital | 8% | ||||||||||
NPV | 26.53 | NPV(A4,B3:K3)+A2 | ||||||||||
Plan B | A | B | C | D | E | F | G | H | I | J | K | |
1 | Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
2 | Initial Investment | -132 | ||||||||||
3 | Nt cash flows | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | |
4 | Cost of Capital | 8% | ||||||||||
NPV | 29.04 | NPV(A4,B3:K3)+A2 |
a) Plan B is better because it is has higher NPV . SO value increased by 29.04
b)EAA( Equivalent annual annuity ) =
r(NPV)/(1-(1+r)-n)
EAA of Project A = 8% * 26.53 /(1-(1+8%)-10) =3.95
EAA of Project B = 8% * 29.04 /(1-(1+8%)-10) =
4.33
Best of Luck. God Bless
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