The table given below shows how, on average, the market value of a Boeing 737 has varied with its age and the cash flow needed in each year to provide a 13% return. (For example, if you bought a 737 for $19.77 million at the start of year 1 and sold it a year later, your total profit would be 18.03 + 4.31 − 19.77 = $2.57 million, 13% of the purchase cost.) Assume airlines write off their aircraft straight-line over 15 years to a salvage value equal to 10% of the original cost.   Start of Year Market Value Cash Flow 1 19.77   2 18.03 4.31 3 16.87 3.50 4 15.82 3.24 5 14.97 2.91 6 14.13 2.79 7 13.44 2.53 8 12.72 2.47 9 12.13 2.24 10 11.50 2.21 11 10.99 2.01 12 10.43 1.99 13 9.99 1.80 14 9.48 1.81 15 9.09 1.62 16 8.63 1.64     a. Calculate economic depreciation, book depreciation, economic return, and book return for each year of the plane’s life. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your answers in millions except for percentage values. Round your percentage answers to 1 decimal place and other answers to 2 decimal places.) b-1. Suppose an airline invested in a fixed number of Boeing 737s each year. Calculate the steady-state book rate of return. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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The table given below shows how, on average, the market value of a Boeing 737 has varied with its age and the cash flow needed in each year to provide a 13% return. (For example, if you bought a 737 for $19.77 million at the start of year 1 and sold it a year later, your total profit would be 18.03 + 4.31 − 19.77 = $2.57 million, 13% of the purchase cost.)

Assume airlines write off their aircraft straight-line over 15 years to a salvage value equal to 10% of the original cost.
 

Start of Year Market Value Cash Flow
1 19.77  
2 18.03 4.31
3 16.87 3.50
4 15.82 3.24
5 14.97 2.91
6 14.13 2.79
7 13.44 2.53
8 12.72 2.47
9 12.13 2.24
10 11.50 2.21
11 10.99 2.01
12 10.43 1.99
13 9.99 1.80
14 9.48 1.81
15 9.09 1.62
16 8.63 1.64
 

 

a. Calculate economic depreciation, book depreciation, economic return, and book return for each year of the plane’s life. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your answers in millions except for percentage values. Round your percentage answers to 1 decimal place and other answers to 2 decimal places.)
b-1. Suppose an airline invested in a fixed number of Boeing 737s each year. Calculate the steady-state book rate of return(Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

 

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