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Introduction and valuation basics Tano Santos David L. and Elsie M. Dodd Professor of Finance Columbia Business School Heilbrunn Center for Graham & Dodd Investment Value Investing ACPM September, 2017 - New York City October 2017

Introduction and valuation basics - c.ymcdn.com · ①It requires looking at the ugly, ... Precise or good information Imprecise or bad information ... impairment (ASC 350)

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Introduction and valuation basics

Tano Santos

David L. and Elsie M. Dodd Professor of Finance

Columbia Business School

Heilbrunn Center for Graham & Dodd Investment

Value Investing

ACPM September, 2017 - New York City

October 2017

…………………………………………………………………………………………………………………………………………

INTRODUCTION

…………………………………………………………………………………………………………………………………………

Approaches to Investing

Approaches to investment

Efficient Markets Short term Long term

Fundamental Value

Levels

• Diversification • Asset Allocation

• Cost minimization

Fundamental Value

Changes • Current Price vs. forecast change

• Micro • Macro

Technical

• Value strategies • Momentum

• Price/Volume patterns

3 Tano Santos Heilbrunn Center

Returns

…………………………………………………………………………………………………………………………………………

What is value investing? Premises and an operational definition

●  Premises:

1.  Security prices fluctuate:

a.  sometimes because of discount or cash-flow news: Fundamentals

b.  sometimes “capriciously”: Mr. Market

2.  These securities have fundamental values that can be estimated with reasonable

accuracy by the diligent investor within his/her circle of competence

3.  Security prices eventually converge to their fundamental value

●  Value investors:

–  Estimate the asset value and compare it to the price that Mr. Market is quoting

–  and if there is a sufficient margin of safety take the corresponding position.

4

Heilbrunn Center Tano Santos

…………………………………………………………………………………………………………………………………………

Why Value Investing?

①  Performance:

a)  Statistical performance: Value earns on average superior returns

b)  Performance of some outstanding investors

•  Since February 1, 1983, to 2008, Mr. Klarman’s Baupost Limited Partnership Class

A-1: 16.5% net of fees and incentives, versus 10.1% for the S&P 500.

•  1979 to 2004 J. M. Eveillard (SocGen now First Eagle): 15.8%.

②  Your strengths: Lever knowledge and expertise within your circle of competence:

–  Other strategies (i.e. quant strategies) are “commodity like”

5 Heilbrunn Center Tano Santos

…………………………………………………………………………………………………………………………………………

Why value investing? Buffett’s performance

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2014

Millions (left axis) Returns (%; right axis)

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Realized return in 2014 of investing $1,000 in Berkshire in a particular year during Warren Buffett’s tenure in millions (left axis) and annual return (in %) . Data source: Business Insider

…………………………………………………………………………………………………………………………………………

Why Isn’t Everyone a Value Investor?

●  Value investing is psychologically unnatural:

①  It requires looking at the ugly, despised firms.

②  It requires investing when (March 2009) and where nobody is (in car-related

companies, for example).

③  It requires patience and inaction.

④  It requires holding positions for an extended period of time: Low turnover compared

with mutual fund managers.

⑤  It requires holding cash in the presence of roaring markets.

⑥  Most importantly value investing requires discipline and humility, coming to terms with

one’s psychological flaws and a constant process of review

7 Heilbrunn Center Tano Santos

…………………………………………………………………………………………………………………………………………

What value investing is not: Speculation

●  Value investing is not speculation.

●  A world of overvaluation: One could think of the price P of any (infinitely lived) security as being the sum of two elements:

●  In this case an investor could speculate and purchase a security above its fundamental value in the expectation to resell it later at a much higher price!

–  This is the essence of speculative cycles like the NASDAQ bubble

●  Value investors instead believe that prices and fundamentals decouple and thus that sometimes P<F

8

OFP +=

Fundamental value Option to resell to another investor with different beliefs at a future date

Heilbrunn Center Tano Santos

…………………………………………………………………………………………………………………………………………

Value investing: Two ideas

●  Two key ideas for the successful value investor

①  The fundamental problem of trade: Why is (he, she it?) selling when I’m buying?

•  Adverse selection: Information as the key driver of trading

–  Making adverse selection worse for the other side of the trade

•  Value investing “revolves around obtaining a fairly deep understanding of either the business, the securities issued by that business, or both. Importantly, the value analyst, as part of the analytic process, tries to understand where other market participants are coming from, why these others do what they do, and why they say what they say.” M. Whitman, Value Investing, 1999

②  Returns are determined more by

a.  Your ability to invest when no one is and remain calm when everybody is panicking (“internal risk”)

b.  Your ability to sustain your position in market distress (leverage)

9 Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

Value investing: The psychological makeup of the value investor

Why does value investing work?

1.  Frictions in financial markets: Agency, short-termism, window-dressing, …

2.  Behavioral biases: Overconfidence, self-attribution bias, …

“The true investor scarcely ever is forced to sell his shares, and at all other times he is free to disregard the current price quotation. He need pay attention to it and act upon it only to the extent that it suits his book, and no more. Thus the investor who permits himself to be stamped or unduly worried by unjustified market declines in his holdings is perversely transforming his basic advantage into a basic disadvantage. That man would be better off if his stocks had no market quotation at all, for he would then be spared the mental anguish caused him by other persons’ mistakes and judgments.” B. Graham, The Intelligent Investor, p. 203

10 Heilbrunn Center Tano Santos

…………………………………………………………………………………………………………………………………………

Risk Management • Margin of safety

• Some diversification • Patience – Default strategy

The Value Investing Process

Search • Cheap • Ugly

• Obscure and otherwise ignored

Valuation • Assets

• Earning Power • Franchise

Review • Key issues

• Collateral evidence • Personal biases

11 Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

The main idea: Asset, earnings power and franchise values

●  A firm is a collection of assets, tangible and intangible, and liabilities.

●  Out of these assets flow earnings which are determined by:

–  Management’s ability to deploy these assets efficiently

–  The firm’s competitive position in the (viable) industry in which it operates

–  The investment opportunities available to the firm

●  If assets are used efficiently and the firm operates in a competitive environment:

–  Valuing the firm by valuing the assets (AV) or

–  Valuing the firm by pricing the stream of sustainable earnings that it generates (EPV)

should yield approximately the same number.

12 Heilbrunn Center Tano Santos

…………………………………………………………………………………………………………………………………………

Value investing: Why not the DCF?

●  NPV approach: Two problems

–  Combine good with bad information:

–  Sensitivity analysis is based on difficult to forecast parameters, even in the simplest of

cases, which in addition covary in complicated ways!

( )!! +

+++

++= 20

2010 r1

CFr1CF

CFNPV

Precise or good information Imprecise or bad information

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…………………………………………………………………………………………………………………………………………

Valuation: The value investing approach

14

Asset Values (AV)

How much are you willing to pay for the assets?

Price × Quantity of assets (tangible & intangible)

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…………………………………………………………………………………………………………………………………………

Valuation: The value investing approach

15

Earnings Power Values (EPV)

How much are you willing to pay for the the sustainable earnings?

e e e e e …

Tano Santos Heilbrunn Center

time

…………………………………………………………………………………………………………………………………………

Valuation: The value investing approach

16

Franchise Values (FV)

How much are you willing to pay for growth?

e0 e1

e2 e3

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time

…………………………………………………………………………………………………………………………………………

VALUATION: ASSET VALUES

…………………………………………………………………………………………………………………………………………

Asset Values: In a nutshell …

18

Tangible Assets

Intangible Assets

Assets Liabilities

Spontaneous Liabilities

Debt

Equity

1.  Adjust the value of assets relative to book a.  Tangible

•  Ex.: PPE b.  Intangible

•  Ex.: Brand 2.  If the company is solvent

•  Add the adjustments to the book value of the equity

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Balance sheet

…………………………………………………………………………………………………………………………………………

Asset values

●  Question: What does the firm own?

–  Valuation of the assets and liabilities of the company

●  Focus on the stocks rather than the flows

–  Inputs

a.  Balance Sheet

–  Tangible and intangible assets

–  On and off balance sheet liabilities

b.  Public and private market transactions, reproduction

19 Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

Asset values

●  Strategic considerations

①  Liquidation values

•  Is the industry in decline?

•  Are the business operations sustainable?

•  Is the firm close to insolvency?

②  Reproduction value

•  The firm is sustainable

•  How much would it take to reproduce the assets and liabilities the firm has?

●  Small differences in valuation between both approaches but non material

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…………………………………………………………………………………………………………………………………………

Asset values

●  AV of equity:

–  Book equity

–  Plus adjustments to current assets

–  Plus adjustments to PPE

–  Plus adjustments to goodwill

–  Plus adjustment to affiliates reported under the equity method

–  Plus missing intangibles:

•  Product portfolio, customers & workers

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…………………………………………………………………………………………………………………………………………

Asset values

Cash

Market. Sec.

Account receivables

Inventories

Tot. Current Assets

PPE (net)

Goodwill

Deferred taxes

Investment in affiliates

Missing intangibles

Product portfolio

Brand - Customers

Workforce

Organizational capital

Total assets

Current assets Face value Minimal adjustments

Receivables – defaults

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…………………………………………………………………………………………………………………………………………

Asset values

Cash

Market. Sec.

Account receivables

Inventories

Tot. Current Assets

PPE (net)

Goodwill

Deferred taxes

Investment in affiliates

Missing intangibles

Product portfolio

Brand - Customers

Workforce

Organizational capital

Total assets

Property, plan & equipment

•  PPE are recorded at historical costs on a net basis •  If the market value is less than this historical cost, the assets are impaired and should be written down. •  In the US , PPE is never revalued higher to market value and thus it may be the case that the market value, the relevant one in the case of liquidation, is higher than the one in the balance sheet. •  Some elements of PPE, such as land an even buildings, are more “commodity” like and thus market value is appropriate. •  Other elements like specialized machinery depend on the liquidity of the vintage capital goods market, which in term depend on the presence of potential acquirers of those specialized assets. •  Depreciation: Most companies depreciate fixed assets using the straight line method. So does the BEA. Use that information to spot accumulated over-depreciation charges.

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…………………………………………………………………………………………………………………………………………

Asset values

Cash

Market. Sec.

Account receivables

Inventories

Tot. Current Assets

PPE (net)

Goodwill

Deferred taxes

Investment in affiliates

Missing intangibles

Product portfolio

Brand - Customers

Workforce

Organizational capital

Total assets

Goodwill & missing intangibles •  If information on intangibles is unavailable set to 0 and recalculate intangibles •  If it is available and information on impairment (ASC 350) is reported use it. That is where the intangibles associated with acquisitions are. •  Internally created intangible assets are not recognized as assets under US GAAP •  Exception arise related to R&D costs, which is relevant for the valuation of the product portfolios •  Workforce is never reported

Tano Santos Heilbrunn Center 24

…………………………………………………………………………………………………………………………………………

Asset values

●  Brand valuation

①  Income approach: Present value of the economic benefits expected to be received over the remaining useful economic life of the brand.

•  Example: Royalties: present value of royalties associated with brand licensing

②  Market: Comparable transactions

③  Cost approach: Accumulated marketing expenses incurred developing the brand

•  Economies of scale

0.00

500.00

1,000.00

1,500.00

2,000.00

2,500.00

3,000.00

2013 2014 2015

Revenues Sponsorship, commercial & Brand

Ferrari: Total revenues and revenues associated with brand management.

In millions of €. Source: 2015 Annual Report

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…………………………………………………………………………………………………………………………………………

Asset values

●  Product portfolio

–  Under US GAAP &D costs are (typically) expensed as incurred and not capitalized

•  Increasing disparity between market and book valuations for tech firms

•  Software treatment

–  Under IFRS R&D research costs are expensed but development costs are capitalized if

1  Completion of the intangible asset is technologically feasible

2  There is intention to complete the asset

3  There is the ability to use and sell the intangible asset

4  The asset will generate economic benefits

5  The resources to develop the asset are available

6  There is realizable ways of measure development expenses

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…………………………………………………………………………………………………………………………………………

Asset values

Intangible assets Dec. 31st, 2015

Externally acquired dev. costs 137.6

Development costs internally generated 148.3

Patents, concessions & licenses 13.5

Other intangible assets 8.5

Total 307.8

Ferrari: Intangible assets and R&D costs (in millions of €) Source: Ferrari N.V. 2015 Annual Report

Under US GAAP, a simple way of assessing the value of the product portfolio is to estimate the length of the product cycle and multiply annual R&D costs by the product cycle in years Alternatively we can use comparables reported under IFRS Ferrari reports the intangibles associated with the product cycle in the balance sheet. Can we use this information to assess the value of intangibles of companies reporting under different standards?

Tano Santos Heilbrunn Center 27

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Asset values

●  Footnotes here are essential. From the Ferrari annual report:

“Generally we plan for a four to five

year life cycle for our range models.

After four to five years, we typically

launch a “modified” of “M” model

based on the same platform but

featuring significant aesthetic updates

and technological improvements …

Typically, four years after the launch of

the M-model. We start production of

an entirely new model … Therefore,

the cumulative life cycle of each of our

models is approximately eight to nine

years.”

2015 2014 2013

Amortization of capitalized

dev. costs 114.9 125.5 120.4

R&D expensed 446.7 415.3 358.9

Total 561.6 540.8 479.3

Ferrari: Intangible assets and R&D costs (in millions of €) Source: Ferrari N.V. 2015 Annual Report

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…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

ASSETS 2017 (unaudited) 2016 LIABILITIES 2017 (unaudited) 2016

Short-term borrowings 1,099 $2,708

Cash and cash equivalents $6,867 $8,705 Accounts payable 41,433 38,487 Receivables, net 5,835 5,624 Accrued liabilities 20,654 19,607

Inventories 43,046 44,469 Accrued income taxes 921 521

Prepaid expenses and other 1,941 1,441 Long-term debt due within one year 2,256 2,745

Total current assets 57,689 60,239 Obligations under capital leases due within one year 565 551

Total current liabilities 66,928 64,619

Property and equipment 179,492 176,958 Long-term debt 36,015 38,214

Less accumulated depreciation (71,782) (66,787) Long-term obligations under

capital leases 6,003 5,816

Property and equipment, net 107,710 110,171 Deferred income taxes and other 9,344 7,321

Property under capital leases 11,637 11,096 Less accumulated

amortization (5,169) (4,751) Commitments and contingencies

Property under capital leases, net 6,345 Equity:

Goodwill 17,037 16,695 Common stock 305 317 Other assets and deferred

charges 9,921 6,131 Capital in excess of par value 2,371 1,805

Retained earnings 89,354 90,021

Accumulated other comprehensive income (loss) (14,232) (11,597)

Total Walmart shareholders' equity 77,798 80,546

Nonredeemable noncontrolling interest 2,737 3,065

Total equity 80,535 83,611

Total assets 198,825 $199,581 Total Liabilities 198,825 $199,581

29 Tano Santos Heilbrunn Center

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Asset values – Example: Walmart

ASSETS 2016 LIABILITIES 2016

Short-term borrowings $2,708

Cash and cash equivalents $8,705 Accounts payable 38,487

Receivables, net 5,624 Accrued liabilities 19,607

Inventories 44,469 Accrued income taxes 521

Prepaid expenses and other 1,441 Long-term debt due within one year 2,745

Current assets of discontinued operations 60,239 Obligations under capital leases due within one year 551

Total current assets Total current liabilities 64,619

Property and equipment 176,958 Long-term debt 38,214

Less accumulated depreciation (66,787) Long-term obligations under capital leases 5,816

Property and equipment, net 110,171 Deferred income taxes and other 7,321

Property under capital leases 11,096

Less accumulated amortization (4,751) Commitments and contingencies

Property under capital leases, net 6,345 Equity:

Goodwill 16,695 Common stock 317

Other assets and deferred charges 6,131 Capital in excess of par value 1,805

Retained earnings 90,021

Accumulated other comprehensive income (loss) (11,597)

Total Walmart shareholders' equity 80,546

Nonredeemable noncontrolling interest 3,065

Total equity 83,611

Total assets $199,581 Total Liabilities $199,581

30 Tano Santos Heilbrunn Center

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Asset values – Example: Walmart

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

31

AV of equity = $83.6bn + Adjustments to PPE - Goodwill + Intangibles

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…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

32

AV of equity = $83.6bn + Adjustments to PPE - Goodwill + Intangibles PPE 2016 (in $bn)

Land 25.6

Buildings and improvements 96.9

Fixtures and equipments 47.0

Transportation 2.9

Construction in progress 4.5

Total 177.0

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Asset values – Example: Walmart

33

Opening date Conversion to Supercenter Street address City State Ziocode Type of store

7/1/62 3/1/97 2110 WEST WALNUT Rogers AR 72756 Supercenter

8/1/64 3/1/96 1417 HWY

62/65 N Harrison AR 72601 Supercenter

4/12/88 3/1/00 30983 HWY 441 SOUTH Commerce GA 30529 Supercenter

8/1/65 3/1/02 2901 HWY 412

EAST Siloam Springs AR 72761 Supercenter

5/1/72 3/1/94 1155 HWY 65

NORTH Conway AR 72032 Supercenter

10/1/67 3801 CAMP ROBINSON RD.

North Little Rock AR 72118 Wal-Mart

10/1/67 3/1/93 1621 NORTH BUSINESS 9 Morrilton AR 72110 Supercenter

3/1/68 3/1/00 1303 SOUTH MAIN Sikeston MO 63801 Supercenter

7/1/68 3/1/98 2020 SOUTH MUSKOGEE Tahlequah OK 74464 Supercenter

3/1/68 2/20/02 65 WAL-MART DRIVE Mountain Home AR 72653 Supercenter

7/1/68 3/1/94 1500 LYNN RIGGS BLVD Claremore OK 74017 Supercenter

11/1/68 3/1/96 2705 GRAND AVE Carthage MO 64836 Supercenter

4/1/69 3/1/99 1800 S JEFFERSON Lebanon MO 65536 Supercenter

5/1/69 3/1/95 1310

PREACHER RD/HGWY 160

West Plains MO 65775 Supercenter

4/1/69 3/1/00 2214

FAYETTEVILLE RD

Van Buren AR 72956 Supercenter

5/1/69 3/1/93 3200 LUSK DRIVE Neosho MO 64850 Supercenter

Supercenters vary in size from 98,000 to 261,000 square feet (9,104.5 to 24,247.7 m2), with an average of about 197,000 square feet (18,301.9 m2)

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

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Asset values – Example: Walmart

●  Commercial real estate portfolio (in thousands of sqf) for the year 2016:

●  What is the average price of retail commercial real estate in the US

–  Next plot: Asking rental price psf/year for retail commercial real estate: $16

–  “PE ratio”: Take 5-8, which is conservative

–  Price per square feet: $80-128

•  Austin – TX (Walmart building for sale): about $50/SQF

•  West Milwaukee –WN (Walmart building leased to Family Dollar and Little Caesars): about $110/SQF

•  Oklahoma City, OK: $125/SQF (recent transaction)

•  Sacramento, CA: $367/SQF (recent transaction)

34

US Sam’s club International

689,647 87,552 372,198

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Asset values – Example: Walmart

35

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Average rental asking price psf/year in $US. 2014Q4. Source: CoStar Group

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Asset values – Example: Walmart

●  What about the international segment? Biggest entries:

36

0

50

100

150

200

250

300

350

400

450

500

Country SQF

Mexico 100,308

China 71,724

UK 37,044

Brazil 30,675

Average rental asking price. China (in blue) psf/year in $US. December 2014

Brazil (in orange) sqm/year in BR. May 2014. Source: Cushman & Wakefield

This is incredible

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Asset values – Example: Walmart

Retail (in thousands) Price psf in $bn

Walmart US 689,647 100 69.0

Sam’s Club 87,552 100 8.8

Walmart International 372,198 100 37.2

Total (in $bn) 115

37 Tano Santos Heilbrunn Center

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Asset values – Example: Walmart

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

38

AV of equity = $83.6bn + Adjustments to PPE - Goodwill + Intangibles

PPE 2016 (in $bn) Adjustment

Land 25.6 ?

Buildings and improvements 96.9 115

Fixtures and equipments 47.0 ?

Transportation 2.9 ?

Construction in progress 4.5 4.5

Total 177.0 ?

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…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

39

AV of equity = $83.6bn + Adjustments to PPE - Goodwill + Intangibles

PPE 2016 (in $bn) Adjustment

Land 25.6 25.6

Buildings and improvements 96.9 115

Fixtures and equipments 47.0 23.5

Transportation 2.9 1.5

Construction in progress 4.5 4.5

Total 177.0 170.1

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…………………………………………………………………………………………………………………………………………

40

Asset values – Example: Walmart

AV of equity = $83.6bn + Adjustments to PPE - Goodwill + Intangibles

Adjustment PPE=170-110 ≈ 60

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

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…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

41

AV of equity = $83.6bn + Adjustments to PPE (60) - Goodwill (-17) + Intangibles

Set it to 0

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

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…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

42 Tano Santos Heilbrunn Center

AV of equity = $83.6bn + Adjustments to PPE (60) - Goodwill (-17) + Intangibles

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

Workforce: Use data provided by the company • Associates in Oklahoma: 31,854 Average wage: $11.85 •  Associates in Texas: 150,523 Average wage: $12.54 •  Associates in California: 72,602 Average wage: $12.93

…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

43 Tano Santos Heilbrunn Center

AV of equity = $83.6bn + Adjustments to PPE (60) - Goodwill (-17) + Intangibles

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

Intangibles ①  Workforce: 2.1m

•  Majority associates: average wage $16,000 •  Also pharmacists, managers, •  Take as average: $20,000 •  10% of that is $4.2bn

②  Brand a)  Discounted value of marketing

expenses: $2bn @ .07 about $30bn b)  Outside estimates

•  Interbrand: $132bn •  Brandz: $35.3bn •  Forbes list: $24.7bn

c)  Royalties: 2-5%: $9-24bn

…………………………………………………………………………………………………………………………………………

Asset values – Example: Walmart

44 Tano Santos Heilbrunn Center

AV of equity = $83.6bn + Adjustments to PPE (60) - Goodwill (-17) + Intangibles (+30) =$159.3bn

ASSETS

Cash and cash equivalents $8,705

Receivables, net 5,624

Inventories 44,469

Prepaid expenses and other 1,441

Current assets of discontinued operations 60,239

Total current assets

Property and equipment 176,958

Less accumulated depreciation (66,787)

Property and equipment, net 110,171

Property under capital leases 11,096

Less accumulated amortization (4,751)

Property under capital leases, net 6,345

Goodwill 16,695

Other assets and deferred charges 6,131

Total assets $199,581

…………………………………………………………………………………………………………………………………………

VALUATION: EARNINGS POWER VALUES

…………………………………………………………………………………………………………………………………………

Earning Power Values: In a nutshell …

46

-  COGS -  Operating expenses

•  Wages •  Marketing •  R & D

-  D & A expenses

Revenues 1.  Adjust the value of expenses a.  Over-depreciation

•  Capex expenses b.  Expenses related to growth

•  Wages •  Marketing •  R & D

2.  Add and subtract from the operating income to obtain sustainable income

Tano Santos Heilbrunn Center

= Operating income

- Taxes

= Net income

Income statement

…………………………………………………………………………………………………………………………………………

Earnings Power Values

●  Asset values emphasize stocks. Out of this stocks flow earnings

①  Sustainable earnings: Earnings that flow from the existing operations

②  Growth earnings: The additional earnings that can be generated by adding to

existing operations (either through capital expenditures or acquisitions)

●  The value of the business operations should be

Value of operating business = Value of sustainable earnings

+ Value of growth earnings

●  Earnings power values are the first component in the above expression

●  We abstract from growth but assume the earnings are indeed sustainable.

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…………………………………………………………………………………………………………………………………………

Earnings Power Values

●  Definition of sustainable earnings

●  What if operating margins or revenues are temporarily depressed?

–  Cycles and differences across cycles.

–  Extraordinary industry shocks and company specific shocks.

–  Is smoothing appropriate?

Sustainable earnings = Operating margins × Revenues

+ Depreciation charges

- Maintenance capex

± Other gowth related adjustments

± Extraordinary items

Tano Santos Heilbrunn Center 48

…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

Income statement (in millions of $US) Fiscal Years Ended January 31,

2017 2016 2015

Net sales $481,317 $478,614 $482,229

Membership and other income 4,556 3,516 3,422

Total revenues 485,873 482,130 485,651

Cost of sales 361,256 360,984 365,086

Operating, selling, general and administrative exp. 101,853 97,041 93,418

Operating income 22,764 24,105 27,147

Interest:

Debt 2,044 2,027 2,161 Capital lease and financing

obligations 323 521 300

Interest income (100) (81) (113)

Interest, net 2,267 2,467 2,348

Income from continuing operations before income taxes 20,497 21,638 24,799

Inc. from disc. op. net of taxes - - 285

Total provision for income taxes 6,204 6,558 7,985

Consolidated net income 14,293 15,080 16,814

Consolidated net income attributable to Walmart $13,643 $14,694 $16,363

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…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

●  Walmart US:

–  The operating margins have been dropping

–  Significant investment in on-line operation development in the US (which is expensed) is behind this drop

–  But there are other more troublesome issues:

a.  Competition from the dollar store, Aldi …

b.  Fall in income

●  Take current operating income WMT: Operating margins across reporting segments 1997-2017

Source: Annual Reports

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0

1

2

3

4

5

6

7

8

9

1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

US Sam's Club International

…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

●  Current income about $23bn (from the FY17 Income Statement.)

●  Adjustments:

●  Perhaps WMT is slowing down its impressive growth drive? More on this below.

●  2016: Acquisition of jet.com

●  No evidence of overdepreciation

●  Tax rate: 27% in FY2017, 27% in FY2017, FY2015 in 29%: Average tax rate 28%

●  After tax ebit = (1-.28)×$23bn = $16.4bn

51

Tano Santos Heilbrunn Center

$USbn 2017 2016 2015 2014 2013

D&A 10.1 9.4 9.1 8.9 8.5

Capex 10.6 11.4 12.1 12.5 12.6

Acq. 2.5 - - - -

Diff. 3.0 2.0 3.0 3.4 4.1

…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

●  More on overdepreciation

●  Calculate maintenance capex as:

–  Maint. Capex=Capex-Growth capex

–  Calculate overdepreciation as

–  If consistently positive the company is

probably overdepreciating and one has to

correct the definition of sustainable

earnings appropriately.

52

-5

-4

-3

-2

-1

0

1

2

3

1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

Growth capex = Δ SalesSales

×PPE (net)

Overdepreciation = D&A - Maintenance capex

Walmart: Difference between D&A and maintenance capex as defined in this slide

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…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

53

Concept

Risk free rate 2%

Market premium 8%

Unlevered β .5

Market Cap $236bn

Debt (short & long term) $49.9bn

Cash & cash eq. $6.6bn

Net debt $43.3

Taxes 1/3

Interest rate on debt 5%

WACC 5.6%

Source: Walmart 10-K for FY 2012

A note: •  We are interested in calculating the risk of the operating business. •  Whenever we take WACC we estimate the risk of the operating business with market data and the cost of raising equity and debt. •  Ideally one would like an independent estimate of the WACC

Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

54

5.5 5.8 6.5 6.5 6.7 6.7 6.7

7.3 8 8

8.5

WACC comparison across comparable retailers - 2015

Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

Earnings Power Values – Example: Walmart

●  Walmart’s sustainable after-tax earnings: $16.4bn

●  WACC

–  in FY2012’s annual report, 6%.

–  Current WACC of Walmart 6.7%. Take 7%

●  This gives a value of the EPV of equity:

55

EPV of equity = EPV of Operating business + Excess assets - Debt

= 234.3+.9× 6.8-(2.3+36.0+6.0)

≈ $196.1bn

EPV Operating business = after tax ebit

wacc=

16.4.07

≈ $234.3 bn

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…………………………………………………………………………………………………………………………………………

Comparing Asset values and Earnings Power Values

Asset Value Asset Value Asset Value EP Value EP Value EP Value

Value lost to poor management

and/or industry decline

Free entry Industry balance

Consequence of a competitive advantage

and/or superior management

Case A Case B Case C

56 Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

57

Asset Values & Earnings Power Values – Example: Walmart

AV EPV

$159.3bn

$196.1bn

Market value September 21st 2017

$237.3bn

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…………………………………………………………………………………………………………………………………………

Valuation: Comparing AV & EPV

Asset value •  Tangible •  Balance sheet based •  No extrapolation

Earnings power value •  Current earnings •  Extrapolation •  No forecast

Total value •  Includes growth •  Extrapolation •  Forecasts

Reliability dimension

Free entry No comp. advantage

Franchise value Current comp. advantage

Growth in franchise value

Stra

tegi

c di

men

sion

58 Tano Santos Heilbrunn Center

…………………………………………………………………………………………………………………………………………

The decision to buy

AV EPV FV

Free entry No comp. advantage

Franchise value Current comp. advantage

Growth in franchise value

Stra

tegi

c di

men

sion

59 Tano Santos Heilbrunn Center

Market value

Margin of

safety

…………………………………………………………………………………………………………………………………………

VALUATION: GROWTH

…………………………………………………………………………………………………………………………………………

The valuation process

Asset Values AV

Earnings Power Values EPV

Franchise Values FV>0

Barriers to entry?

yes

no

Franchise Values FV≤0

Growth creates value

Growth destroys value

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…………………………………………………………………………………………………………………………………………

Growth: In a nutshell …

●  In general: A simple expression

–  The business operations can generate sustainable earnings of E(0)

–  The discount rate (WACC) is r

–  One dollar invested in a new investment opportunity generates a perpetuity of R

–  Thus the value to the stakeholders of the firm of that dollar investment is

–  Let PVNI be the present value of all the new investments in that opportunity

–  Then the total value of the business operations is

R − rr

V 0( ) = E(0)r

+R − rr

⎝⎜

⎠⎟× PVNI or V = EPV + FV

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…………………………………………………………………………………………………………………………………………

Growth: In a nutshell …

●  Let PVNI =$100m & r=10%

①  Value destroyed if and only if R<r

•  Competitive disadvantage

②  Neither destroys or create value if and only if R=r

•  Level paying field

③  Creates value if and only if R>r

•  Competitive advantage or franchise

•  Existence of growth options and thus presence of goodwill (market value above book value)

R (%) 5% 10% 20%

R ($) $5m $10m $20m

Cost of investment $10m $10m $10m

Residual income created

($5m) $0m $10m

Net value created ($50m) $0m $100m

Qualitative impact

Value destroyed No value Value created

Situation Competitive disadvantage

Level playing field

Competitive advantage

FV(0) =R − rr

⎝⎜

⎠⎟× PVNI

Heilbrunn Center Tano Santos 63

…………………………………………………………………………………………………………………………………………

Growth: In a nutshell …

●  Consider an investment that can either have a rate of growth of

–  6% (blue line)

–  5% (green line)

–  4% (red line)

●  How do valuations depend on the rate at which future cash-flows are discounted?

●  Assume a range of discount rates from 6% to 14%

64

0

20

40

60

80

100

120

140

160

180

200

0.06

0.

064

0.06

8 0.

072

0.07

6 0.

08

0.08

4 0.

088

0.09

2 0.

096

0.1

0.10

4 0.

108

0.11

2 0.

116

0.12

0.

124

0.12

8 0.

132

0.13

6 0.

14

NPV

Discount rate

avge.-10% avge. avge.+10%

…………………………………………………………………………………………………………………………………………

Growth: Returns instead of prices

●  Rather than thinking in the space of values we can think in the space of returns

●  Definition of total returns at the end of period t:

●  Recall that G(t)=V(t)-V(t-1)=(1+g)V(t)-V(t)=gV(t)

Total return(t) =D(t)+G(t) = (1-k)E(t) + gV(t)

Fraction of earnings distributed as dividends and share repurchases

Dividends

Capital gain

Rate of growth of dividends

True enterprise value

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…………………………………………………………………………………………………………………………………………

Growth: Returns instead of prices

●  If companies have a stable distribution policy the rate of growth of earnings is that of dividends and thus if P(t) is the enterprise value of the firm:

●  Rate of growth of earnings

①  Growth return: The growth in earnings that occurs as the company invests in projects at a higher rate of return, R, than the required rate of return, r.

②  Organic growth: The rate of growth in earnings that occurs even when all the capex is associated with maintenance capex

•  Example: Price of an input drops which improves operating margins

ER(t) =Total Return (t)

P(t)= Distribution yield + Rate of growth of earnings

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…………………………………………………………………………………………………………………………………………

Growth: Returns instead of prices

●  Two steps

1.  Distribution yield: Earnings distributed as a percentage of enterprise value (market cap plus debt)

•  Dividends, share repurchases, coupons, net debt issuance

2.  Earnings growth rate: Two methods

A.  Historical earnings growth

B.  Calculating future earnings growth

a.  Calculate ROIC for each of the segments

b.  Calculate capital allocation across segments

c.  Calculate organic growth

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

●  Retained earnings model

–  The enterprise value of Walmart: $278bn (Market cap: $237bn; LTD: $41bn)

–  Distributions

•  Dividends: $6.3bn

•  Share repurchases: $4.1bn

•  Interest expense: $2.5bn

•  Debt payment (- issuance): 4.4-1.2-.039≈3.2bn

•  Total Distributions=$16bn

–  Distribution yield:

16278

≈ 6%

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

●  Method A: Historical earnings growth rate

–  Stable relation between square footage

growth, revenue and NOPAT growth

until 2014:

•  Take earnings growth to be 0%

•  Plus organic growth of .5%

●  Return: 6%+0%+.3%=6.3%

●  Is this an attractive return if you invest in Walmart?

Walmart US: Operating income , revenue, square footage Rates of growth in %

Source: Annual reports

-15

-10

-5

0

5

10

15

20

25

1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Revenues Operating income Square footage

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

●  Method B: Estimating future earnings growth rates

–  A rough definition of average ROIC:

–  A rough definition of marginal ROIC:

–  We are interested in the return of the last dollar invested

–  Do we have the data to do this? No.

–  Data source needed: Store economics:

sliabilitie sspontaneou ofnet AssetsIncomeOperating

sliabilitie spont. ofnet Assetsin ChangeIncomeOperating in Change

This is slightly different than the WMT’s ROIC calculation a)  Rent

•  It does not, as it should, include “rented assets” (in the numerator and the denominator)

•  We don’t have the information to do this by segment. •  Omission is not important (an error of less than 7%)

b) D & A •  As always we have to add overdepreciation •  We are interested in sustainable ROIC •  If included, add acc. D & A in the denominator •  Our assets are net of Acc. D & A

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

●  We want to calculate:

●  We need to calculate

①  The (average) return on capital for each of the segments

②  The share of growth capex allocated for each of the segments

●  Information:

–  Annual Report footnotes

–  Company website

ROIC = wUS× ROIC

US+w

Sam ' s× ROIC

Sam ' s+w

Int× ROIC

Int

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

Source: Walmart – Annual Report for the period ending January 31st 2016. In $US millions except otherwise indicated

•  Walmart reports assets and operating income by segment.

•  There are unclassified components of Assets under ``Other’’ (headquarters, general assets, …)

• To be distributed across the different segments according to square footage proportions or sales

• Very similar in this case: Here we are going to do it according to sales

• In order to calculate the “effective” assets we have to subtract the spontaneous liabilities from the assets.

• These liabilities add to the assets and thus to income generation but should not be included as they

are given to the company for “free”

Walmart US Walmart international Sam's club Corporate Consolidated

net sales $298,378 $123,408 $56,828 $478,614

Operating income $19,087 $5,346 $1,820 ($2,148) $24,105

Total assets $103,109 $73,720 $13,998 $8,754 $199,581

Spont Liabilities $58,615

Net assets

Sales (%) 62 26 12

Square footage (millions) 659.10 358.20 84.40

Square footage (%) 60 32.4 7.6

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

Source: Walmart – Annual Report for the period ending January 31st 2016. In $bn except otherwise indicated

Distributing the different items across the three segments •  Operating income Walmart US: 19.08+.6×(2.2) = 17.7 •  Total assets: 103.1+.6×8.8=108.6 •  Accrued liability Walmart US: .6×58.6=36.5 •  Net assets in Walmart US=108.6-36.5=72.0

Walmart US Walmart international Sam's club Corporate Consolidated

net sales $298,378 $123,408 $56,828 $478,614

Operating income $19,087 $5,346 $1,820 ($2,148) $24,105

Total assets $103,109 $73,720 $13,998 $8,754 $199,581

Spont Liabilities $58,615

Net assets

Sales (%) 62 26 12

Square footage (millions) 659.10 358.20 84.40

Square footage (%) 60 32.4 7.6

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

Source: Walmart – Annual Report for the period ending January 31st 2016. In $bn except otherwise indicated

Distributing the different items across the three segments •  Operating income Walmart US: 19.08+.6×(2.2) = 17.7 •  Total assets: 103.1+.6×8.8=108.6 •  Accrued liability Walmart US: .6×58.6=36.5 •  Net assets in Walmart US=108.6-36.5=72.0

Walmart US Walmart international Sam's club Corporate Consolidated

net sales $298,378 $123,408 $56,828 $478,614

Operating income $17,747 $4,792 $1,565 ($2,148) $24,105

Total assets $108,566 $75,977 $15,037 $8,754 $199,581

Spont Liabilities $36,542 15,114 6,960 $58,615

Net assets 72,025 60,864 8,078

Sales (%) 62 26 12

Square footage (millions) 659.10 358.20 84.40

Square footage (%) 60 32.4 7.6

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

●  When calculating ROIC we are using total assets net of accrued liabilities not the market value of the assets, which we used for AV calculation

●  Why?

–  The reason is that we are trying to estimate the return associated with the actual capital

invested, which is better reflected by the (net) book value at which those assets are

carried.

–  Recall that this is a backward looking measure (historical assets and ebit)

–  An important issue is that of goodwill

•  Subtracting goodwill increases ROIC

•  Brands are an important driver of ROIC

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

•  The calculation of ROIC differs from the one in the Annual Report in that

1.  It does not include D&A (in the numerator and the denominator) 2.  It does not include the rent (in the numerator and the denominator) 3.  The Annual Report calculation is only done for the overall company 4.  The present calculation minimizes biases.

•  These items add in particular to the denominator (a stock!) and thus the higher numbers that we obtain.

•  Average versus marginal returns: More on this below

Operating income After taxes Net assets ROIC (%)

Walmart US 17.7 11.8 72.0 16.4

Walmart Int. 4.8 3.2 60.9 5.3

Sam's Club 1.6 1.0 8.1 12.9

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

●  Investments in Walmart International has been slowing down

● One always has to account for acquisitions which are primarily in the international segment

–  Non material in the last few years:

WMT seems to be slowing down

the pace of brick and mortar

acquisitions

–  Much of the growth in capex is

coming for WMT’s strategy in

eretailing: Non-material so far WMT: Capex by segment 2012-2016 Source: Annual Reports

0

1,000

2,000

3,000

4,000

5,000

6,000

7,000

8,000

2011 2012 2013 2014 2015 2016

Walmart U.S. International Sam's Club Corporate

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

(%) Walmart United States

Walmart International Sam's Club

2012 52.29 40.87 6.84

2013 52.97 39.22 7.81

2014 54.13 36.78 9.08

2015 57.54 35.29 7.17

2016 64.50 28.47 7.03

●  We allocate corporate and support across the different segments according to the 60, 30, 10 rule above

●  The table to the left shows the percentage of (total) capex allocation across segments

●  There is a trend: WMT is slowing down growth in the international segment and “rediscovering” the US

●  But the key is growth capex

–  D&A across segments

●  Changes in Working Capital (ΔWC)

Percentage of adjusted capex by segment Source: Annual reports

0

50

100

150

200

250

2011 2012 2013 2014 2015

Supercenters Discount stores Neigborhoof Markets

US: New store opening by type (not including conversions) Source: Annual reports

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

Walmart US Walmart international Sam's club Corporate &

support Consolidated

Capex 6.7 2.9 .7 1.1 11.5

Capex 2017E 6.2 3.0 .8 1.0 11.0

Adj. Capex

Depreciation 2.8 2.6 .5 3.6 9.4

Adj. Depreciation

Adj. Growth capex

ΔWC .3 Adj. Growth capex plus share of ΔWC

Share (%)

Sales (%) 59 28 12

Square footage (millions) 659.10 358.20 84.40

Square footage (%) 59.9 32.4 7.6

Percentage of growth capex by segment. Source: Annual Report FY 2016

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…………………………………………………………………………………………………………………………………………

Growth - Example: Walmart

Walmart US Walmart international Sam's club Corporate &

support Consolidated

Capex 6.7 2.9 .7 1.1 11.5

Capex 2017E 6.2 3.0 .8 1.0 11.0

Adj. Capex 7.4 3.2 .8 Depreciation 2.8 2.6 .5 3.6 9.4

Adj. Depreciation 5.1 3.5 .9

Adj. Growth capex

ΔWC .3 Adj. Growth capex plus share of ΔWC

Share (%)

Sales (%) 59 28 12

Square footage (millions) 659.10 358.20 84.40

Square footage (%) 59.9 32.4 7.6

Percentage of growth capex by segment. Source: Annual Report FY 2016

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Growth - Example: Walmart

Walmart US Walmart international Sam's club Corporate &

support Consolidated

Capex 6.7 2.9 .7 1.1 11.5

Capex 2017E 6.2 3.0 .8 1.0 11.0

Adj. Capex 7.4 3.2 .8 Depreciation 2.8 2.6 .5 3.6 9.4

Adj. Depreciation 5.1 3.5 .9

Adj. Growth capex 2.4 ~0 ~0 ΔWC .3

Adj. Growth capex plus share of ΔWC 2.4 ~0 ~0

Share (%) 100 0 0

Sales (%) 59 28 12

Square footage (millions) 659.10 358.20 84.40

Square footage (%) 59.9 32.4 7.6

Percentage of growth capex by segment. Source: Annual Report FY 2016

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Growth - Example: Walmart

●  In the retained earnings model

–  Growth capex: $2.4bn ΔWC: $0bn NOPAT: $16bn

which is off but only slightly!

●  WMT is distributing a significant fraction of the of NOPAT (as we saw above!)

–  WMT as an income stock

–  Franchise growth behind for WMT?

Growth capex + ΔWCNOPAT

=2.416

≅ .15

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Growth - Example: Walmart

●  Caveats

a.  History of capital allocation, trends, acquisitions, working capital, issuance, …

b.  Corrections in WC:

•  Current assets: Subtract from current assets non operating cash

•  Current liabilities: Subtract short term borrowings

c.  Part of the growth capex is expensed:

•  Example: Marketing expenses to grow the brand:

–  $2bn of marketing expenses;

–  calculate the component of growth and assign across segments;

–  small adjustment

–  Other examples: R&D (not relevant for WMT)

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Growth - Example: Walmart

Share ROIC (%) Share × ROIC

Walmart US 1 16.4 16.4

Walmart International 0 5.3 0

Sam’s Club 0 12.9 0

Consolidated ROIC 16.4

Note: •  Some of the corrections above increase th share of growth capex that

accrues to Walmart US and decrease that of Sam’s club.

•  Very close to the calculation of WMT (15.5%)

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Growth - Example: Walmart

●  Income of US Walmart customers probably low going forward

●  Recent decisions on wages do not help organic growth

–  02/20/2016: Largest single-day, private-sector pay increase in history

–  Every employee hired before January 1st 2016 will make at least $10/hour

●  Conservative estimate: .3%

WMT: Same store sales, 2007-2016 Source: Annual Reports

-1

-0.5

0

0.5

1

1.5

2

2.5

3

3.5

4

2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

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Growth - Example: Walmart

●  Let’s put all these things together:

–  ``Distribution yield’’: 6%

–  Growth component

•  kR=.15 × 16.4 = 2.5%

•  Organic growth: .3%

–  Expected return: 6% + 2.5% + .3% = 8.8%

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Growth - Example: Walmart

●  If we take as an estimate of the growth component past earnings growth we get 6.3%

●  If we take as an estimate of the growth component the growth accounting calculation we get about 9%

–  Biases: Average ROIC

–  Past capital allocation

●  The expected return should be between 6% and 9%

–  Average: 7.5%

●  Is this good enough?

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Growth - Example: Walmart

●  Leverage (Debt/Equity)=44/229≈.2

●  Net interest costs: Most recent issuance 3.3%

●  Recall

●  Expected return on equity: 9%+.2×(9%-3.3%) ≈10%

●  Taking the more conservative estimate of 6% we get 6.5%

●  Is this enough?

ERequity t( )=ER t( )+FLEV ER t( )-NBC⎡⎣

⎤⎦

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