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.
Value of Firm = After-tax Operating Income / (WACC - Expected Growth rate)
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
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)
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)
B. How sensitive has firm value been to changes in the economy?
The answer to this question is important because