Thoughts on Asset Valuation

The question is often asked: Why do ownership structures create different prices and asset values? Following Alchain and Allen's line of thought in their "Fishland" article (see- Chapter 8 Exchange & Production: Competition, Coordination, & Control, Armen A. Alchain & William R. Allen, 3rd Edition UCLA, Wadsworth Press, 1983) in their text: "Exchange and Production," the answer, according to Alchian and Allen appears to be lie in how governments involve (control) themselves in commercial pursuits.

In the real world of water and wastewater systems, this control manifest itself in actual control-ownership, tax treatment, pricing, and ratemaking. Alchain and Allen argue that private firms and governments are driven by different objective functions. They see this objective function dichotomy between wealth maximization versus (private firms) "…maximize the public welfare…" (public entities).

The complexities of this objective function debate, are integral to the structure of water and wastewater systems in the US and abroad. The debate as to who (and how) should run the water and wastewater systems continues. The impact of private versus public ownership/control has serious ripple implications throughout the entire community. In an earlier study, I suggested that electric utilities with large depreciation accounts, declining core markets, and experience with regulatory authorities would have a comparative advantage in acquiring and effectively running public water companies. Another argument, from the prospective of the consumer, could be that privatization by an electric utility of an existing public water system may be less odious to some consumers.

In an historic paper, extolling the advantages of private property rights and market solutions, Alchian and Allen argue that individual wealth maximization (see Table 3, below) leads to society wealth maximization. Table 3, is a reproduction of the Alchain and Allen Table 8-1 page 164.

In this "Fishland" model, these authors assume that the marginal and average product on an isolated island are each four fish. They also assume that there are 1,000 workers. Total output, without any other productive input (a boat) is 4,000 fish. Alchain and Allen assume a boat is washed ashore (introduced/appears). On Table 3, Column 2, total catch on board is quantified. The marginal cost of an additional productive unit on the boat is 4, by the definition of opportunity cost. In this example - where marginal product on board equal marginal cost (MC=MR), profit on board the boat is maximized. Also, using this rule (MC=MR), profit maximization on board the boat leads to societal maximization (boat and the island output summed), as shown on Table 3, Column 8.

Alchain and Allen do not suggest that this state is attained without cost. They acknowledge shirking and hence the need for anti-shirking activities, or managers. Since resources, in the market place, are theoretically paid their marginal value in use, it is inferred that managers have an incentive to minimize shirking and thus maximize their marginal value in use. In essence, the question is simply does this system work more effectively than a public run system. Many public sector firms have acknowledge the need for greater output from their resource base and have initiated competitive managerial systems. The intriguing conclusion of the authors is that renting, owing, or leasing, under a situation where anti-shirking activities are equally as effective, will lead to the same wealth maximizing output decision. However, they also show that an equal share cooperative - formed solely on the boat's output (ignoring the wider societal implications) - will increase average boat member (cooperative) output, but decrease societal out overall.

One problem that has manifest itself in studying water and wastewater privatization has been the impact on the work force. Some unions have fought privatization on the grounds that it will change the size and quality of the labor force. Interestingly enough, in the above-mentioned "Fishland" article the issue of inter-specific resources is raised. An inter-specific resource is identified, for illustrative purposes, as a winch, specially designed for a particular boat. Alchain and Allen contrast this with the generalized fishing lines (as contrasted with the specialized winch), which can be used on the boat or on shore.

They analogize that certain skills are inter-specific in varying degrees. The latter reason, it is argued, can form the basis for unions or more structured relationships between employees and employers. The concept of marriage - a specialized type contract is referenced in this context: "… although people do not own each other, which might appear to be unusual or otherwise inexplicably restrictive contracts or arrangements may be a means of restricting potentially exploitative behavior." Likewise, unions and other labor groups may see the need to counter potentially exploitative behavior by banding together and/or resisting a change in ownership structure. These actions may or may not be rooted in the concept of an inter-specific resource. Some actions could be to protect economic rents, derived from artificially contrived barriers to entry.

 

In theory, the cost of capital, salvage, and removal costs (See Table 1) cover the "sunk" cost items. However, if such items are not valued at market, the question of imputing a value to historical costs becomes important in the bookkeeping context. This latter consideration overrides, in degree, the exhortations of economic theory on sunk costs being irrelevant costs. There are numerous methods for assessing asset valuation. Above and in the following tables, the idea of net present worth has been presented. In addition to the market constraints of evaluating revenues and costs, already noted, there is the problem of assigning an appropriate discount rate. Discount rates vary between individuals, firms, governments, and in fact, all planning entities. Three other suggested methods are to (1) sum historical costs, (2) sell the asset, and (3) compare it with an asset of similar size that recently was acquired by privatization or condemnation. The market price, assuming a free "bidding" process with no search or buyer barriers, meets the market criteria. However, it may not meet the political social welfare goals.

 

Below, I have presented the revenue requirements equations for both an Investor Owned Utility and a Public Owned Utility. In theory, the net present worth of the income stream - allowing for all explicit and implicit costs - should provide an accurate evaluation of the value of the asset.

Asset Value = å (Ri-Ci)/(1+r)^I (i=1 to N)

Where:

Ri = Revenues in time i

Ci = Cost in time i

R = The discount rate

N = Discrete time periods

 

Revenue Requirements for an Investor Owned Utility

The general formula for revenue requirements of an investor owned utility is

R = O + D + T + rB

Where

R = Revenue Requirements

O = Operations and Maintenance Costs

D = Annual Depreciation Charges

T = Taxes

R = permitted rate of return (capital cost)

B = Rate Base = (V-d) = Book Value of Assets

Where

V = Rate Base Valuation and

D = Accumulated Depreciation

 

The Rate of return is set equal to the weighted sum of the cost of debt capital and the cost of equity capital. The formulation is:

 

R = k(E/C) + I(I/C)

Where:

k = Cost of Equity Capital

E = Total Equity Capital

I = Cost of Debt Capital (a weighted average)

C = Total Equity and Debt Capital

 

The inherent structure of the mathematical/formal approach used will produce different results in terms of net present worth (asset valuation). The elements in the discounting equation of Ri-Ci/(1+r)^i are pivotal. On the Ci (cost) side of the equation, clearly, the way capital is evaluated under either a public or private investor owned scenario impacts the net present worth and hence the asset valuation. The treatment of the capital items are institutionalized in both administrative and legislative codes. Also, if indeed there are inherent efficiency differences between public and private sector facilities, such differences will cause changes in Ci related to equal levels of output. Ri in a US investor owned utility is set via the regulated ratemaking process. Public utilities, while not generally subject to ratemaking rules per se, must often produce politically acceptable rates. Market demands (valuations) and market elasticities could be subverted in this politically motivated pricing endeavor.

 

Table 1 is a "paste" of an result derived from an iterative facility model that was developed on Excel using a standard Engineering Economy approach. Table 2 spells out the input assumptions. The input parameters may be changed. Changes to the various assumptions, will impact results and asset valuation. These input assumptions/output results may be used to produce results developed from either of the two revenue requirements procedures, delineated below. It should be noted that the tax and regulatory treatments change the present worth of the net flows as do the assumptions on cost and revenues. The model will evaluate these changing input assumptions and will be used in other studies.

Revenue Requirements for A Public Utility

This approach may be contrasted with the revenue requirement approach as generally used in public water facilities:

 

R = O + T + D + C

Where:

R = Revenue Requirements

O = Operation and maintenance Expenses

T = Tax Equivalents

D = Debt Service Payments (interest charges and principal), and

C = Capital Expenditures Not Financed by Debt

 

 

 

Table 1

IT.

YEAR

0

1

2

3

4

5

6

7

8

9

10

1

Revenue

1200

1200

1200

1200

1200

1200

1200

1200

1200

1200

2

Operating Expenses

200

200

200

200

200

200

200

200

200

200

3

Tax Depreciation

1500

1125

964

804

643

482

82

-500

4

Book Depreciation

510

510

510

510

510

510

510

510

510

510

5

Net Operating Revenue (1-2-4)

490

490

490

490

490

490

490

490

490

490

6

F.I.T. without T.C.

-357

-147

-55

35

124

210

411

455

459

703

7

Investment Tax Credit

600

8

Amortized Tax Credit/life

60

60

60

60

60

60

60

60

60

60

9

F.I.T. Deferred

475

295

218

141

64

-13

-206

-245

-245

-485

10

Operating Income

431

402

387

374

363

353

344

340

336

332

11

Interest on Debt

243

181

151

124

100

79

62

52

43

35

12

Net Income

188

221

236

250

263

274

283

288

292

297

13

Required Return

720

537

448

367

296

235

182

153

128

104

14

ATFC

1957

1147

1055

965

876

790

589

545

541

297

15

New Capital Salvage

6000

0

0

0

0

0

0

0

0

0

-900

16

Net Cash Flow

1957

1147

1055

965

876

790

589

545

541

1197

17

Remaining Capital Balance

6000

4475

3730

3062

2471

1957

1520

1276

1071

865

0

Demand

100000

100000

100000

100000

100000

100000

100000

100000

100000

100000

$/Unit

$0.01

$0.01

$0.01

$0.01

$0.01

$0.01

$0.01

$0.01

$0.01

$0.01

 

Table 2

INPUT PARAMETERS

Initial Investment

6000

Input Initial Revenue

1200

Input Revenue Growth

0

Input Operation Expense %

0.17

Input Tax Factors

0.25

0.25

0.29

0.33

0.40

0.50

0.17

Tax ADR

1500

1125

964

804

643

482

82

Remaining ADR

4500

3375

2411

1607

964

482

401

Input Debt Equity Ratio

0.48

Input Interest on the debt

0.0844

Input Income Tax Factor

0.48

Input Tax Credit

600

Gross Salvage

1000

Acc. Tax Depreciation

5600

Taxable Gain

600

Removal Cost

100

Net Salvage

900

Book Depreciation

510

Effective Retirement

-500

Required Return

0.12

Initial Demand

100000

Annual Demand Growth

0

 

 

  Table 3

Net

Number of

Total

Marginal

Average

Social

Societal

Total

Boat+Shore

Workers on

Catch

Product

Product

Marginal

Output

Plus Boat

Total

Board

(on board)

(on board)

(on board)

Product

on Shore

Output

0

0

0

0.00

0

4000

0

4000

1

6

6

6.00

3996

6

4002

2

16

10

8.00

3992

16

4008

3

24

8

8.00

3988

24

4012

4

30

6

7.50

3984

30

4014

5

34

4

6.80

3980

34

4014

6

36

2

6.00

3976

36

4012

7

36

0

5.14

3972

36

4008

8

32

-4

4.00

3968

32

4000

9

27

-5

3.00

3964

27

3991

10

21

-6

2.10

3960

21

3981


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