GETTING TO THE OPTIMAL


 

 

APPROACHES FOR EVALUATING ASSET CASH FLOWS

I. Intuitive Approach

II. Project Cash Flow Approach

III. Historical Data

COMING UP WITH THE FINANCING DETAILS: BOEING

I. Intuitive Approach

Step 1: Define the typical characteristics for projects taken on by Boeing

Duration: Projects are long term; Boeing 777 project has 30-year life. Defense business is just 8.6% of remaining backlog.

Currency: While Boeing receives 54% of its revenues from overseas, about 75% of its revenues are in dollars. The remaining 25% is in different currencies.

Special features of the Cash Flows:

- Cash flows are correlated with health of the airline business

- Cash flows are generally affected negatively by inflation, since increasing oil prices, in particular, affect the airline business adversely.

- Sales are lumpy; a few large orders (SAS ordering 35 planes) comprise the bulk of revenues, making them sensitive to the financial standing of these companies.

Step 2: Put together a mix of debt that matches up to the assetís cash flow characteristics. This debt would be

- very long term (since the projects are long term)

- fixed term rather than floating rate debt (to increase the duration of the debt, and since cash flows at Boeing are more likely to be adversely affected by inflation than helped by it.)

- be primarily in dollars

II. QUANTITATIVE APPROACH

The nature of a firmís cash flows can be examined using one of two variables ñ

1. Operating Cash Flows: The question of how sensitive a firmís asset cash flows are to a variety of factors, such as interest rates, inflation, currency rates and the economy, can be directly tested by regressing changes in the operating income against changes in these variables.




Change in Operating Incomet = a + b Change in Macro Economic Variablet


The limitation of this approach is that it examines the effect of these factors only on current income.

2. Firm Value: The firm value is clearly a function of the level of operating income, but it also incorporates other factors including expected growth and the cost of capital. To see why, consider the value of a firm, in stable growth ñ

Value of Firm = After-tax Operating Income / (WACC - Expected Growth rate)




Thus, by looking at the changes in firm value, we are capturing the effects of changes in macro economic variables on operating income, expected growth and cost of capital.

Sensitivity to Factors: Past Data

Step 1: Collect past data on firm value, operating income and the macro economic variables against which you want to measure their sensitivity.

Year

Firm Value

Operating Income

Change in Firm Value

Long Bond Rate

Real GNP

Inflation Rate

Weighted Dollar

1980

$ 4,254

$ 877

11.90%

3846

13.50%

99.37

1981

$ 2,182

$ 715

-48.71%

14.20%

3849

10.30%

110.47

1982

$ 3,270

$ 578

49.8%

13.80%

3792

6.10%

123.14

1983

$ 4,254

$ 701

30.1%

12.00%

4047

3.20%

128.65

1984

$ 5,503

$ 725

29.4%

12.70%

4216

4.30%

138.89

1985

$ 8,131

$ 968

47.8%

11.40%

4350

3.50%

125.95

1986

$ 8,179

$ 1,095

0.6%

9.00%

4431

1.90%

112.89

1987

$ 5,889

$ 706

-28.0%

9.40%

4633

3.70%

95.88

1988

$ 9,532

$ 1,018

61.9%

9.70%

4789

4.10%

95.32

1989

$ 13,959

$ 1,217

46.4%

9.30%

4875

4.80%

102.26

1990

$ 15,900

$ 2,208

13.9%

9.30%

4895

5.40%

96.25

1991

$ 17,610

$ 2,785

10.7%

8.80%

4894

4.20%

98.82

1992

$ 15,391

$ 2,988

-12.6%

8.10%

5061

3.00%

104.58

1993

$ 17,324

$ 2,722

12.6%

7.20%

5219

3.00%

105.22

1994

$ 18,624

$ 2,302

7.5%

8.00%

5416

2.60%

98.6



A Compromise when firm value is not available





In cases where the firm value is not available, either because the data is missing or the firm has not been listed long enough, the firm values of comparable firms that have been listed for a longer period can be used in the regression.


Step 2: Estimate the sensitivity of firm values and operating income to changes in the macro economic variables using data over the period.

How sensitive is firm value/operating income to changes in interest rates?

The answer to this question is important because it

 

Results of the Regression

Regressing changes in firm value against changes in interest rates over this period yields the following regression ñ

Change in Firm Value = 0.13 - 9.95 ( Change in Interest Rates)




Conclusion: The duration (interest rate sensitivity) of Boeingís asset values is about 10 years. Consequently, its debt should have atleast as long a duration.

Why is the coefficient in the regression a measure of the duration?

Traditional Duration Measure

 

Duration of a firm's assets

 

where,

CFt = After-tax operating cash flow on the project in year t

Terminal Value = Salvage Value at the end of the project lifetime

N = Life of the project

The duration of any asset provides a measure of the interest rate risk embedded in that asset.

Calculating the Duration of the Boeing 777 Project

Year

Cash Flow

PV of Cash Flow

t * PV of Cash Flow

1

$ (711.12)

$ (634.93)

$ (634.93)

2

$ 1,754.92

$ 1,399.01

$ 2,798.02

3

$ 1,867.92

$ 1,329.55

$ 3,988.65

4

$ 1,625.72

$ 1,033.17

$ 4,132.70

5

$ 1,771.84

$ 1,005.39

$ 5,026.95

6

$ 1,465.56

$ 742.50

$ 4,454.99

7

$ 1,666.36

$ 753.78

$ 5,276.44

8

$ 1,246.92

$ 503.61

$ 4,028.88

9

$ 1,971.60

$ 710.98

$ 6,398.81

10

$ 588.10

$ 189.35

$ 1,893.52

11

$ 1,431.76

$ 411.60

$ 4,527.56

12

$ 1,839.88

$ 472.25

$ 5,667.02

13

$ 825.68

$ 189.22

$ 2,459.92

14

$ 640.73

$ 131.11

$ 1,835.48

15

$ 5,384.56

$ 983.74

$ 14,756.08

Sum =

$ 9,220.33

 

Duration = $ 66,610 / 9220 = 7.20 years



Results of the Regression

Regressing changes in operating cash flow against changes in interest rates over this period yields the following regression ñ

Change in Operating Income = 0.09 - 7.42 ( Change in Interest Rates)




Conclusion: Boeingís operating income, like its firm value, has been very sensitive to interest rates, which confirms our conclusion to use long term debt.


Generally speaking, the operating cash flows are smoothed out more than the value and hence will exhibit lower duration that the firm value.

B. How sensitive has firm value been to changes in the economy?

The answer to this question is important because




If the cash flows and firm value are sensitive to movements in the econ