Giverny Capital Annual Letter to Partners 2010

Theme and Background

This chapter is the opening of Giverny Capital's 2010 annual report, reviewing the investment portfolio's performance in 2010 and presenting the long-term return data for three sub-portfolios (Giverny Portfolio, Giverny US Portfolio, Giverny Canada Portfolio). The author also discusses the macroeconomic recovery backdrop, changes in market valuations, and the passing of investment legend Roy Neuberger.

Core Views

• Significant Long-Term Excess Returns: Since its inception in 1993, the portfolio has achieved an annualized return of 13.9%, outperforming the benchmark (7.1%) by 6.8 percentage points. The long-term target is an annualized excess return of 5%.
• U.S. Blue-Chip Valuations Are Extremely Attractive: The author believes that current valuations of large-cap U.S. blue chips (average P/E of approximately 11x) are at levels not seen in decades, in stark contrast to 1998 (P/E of 33x), suggesting greater upside potential.
• Bull Market Has Just Begun: The economic recovery in 2010 confirmed the end of the recession. The "long-term bull market" identified in the author's 2009 letter is unfolding, but short-term risks remain, including high consumer debt, expanding government debt, and regulatory intervention.

Key Arguments and Data

1. Long-Term Performance Comparison (CAD, July 1993 – Dec 2010)

Metric	Giverny Portfolio	Benchmark Index	Excess Return
Cumulative Return	878.4%	232.8%	645.6%
Annualized Return	13.9%	7.1%	6.8%
Annualized Return (Ex-FX)	15.5%	8.5%	7.0%

2. U.S. Sub-Portfolio (USD, July 1993 – Dec 2010)

Metric	Giverny US	S&P 500	Excess Return
Cumulative Return	1002.0%	290.7%	711.4%
Annualized Return	14.7%	8.1%	6.6%

3. Canada Sub-Portfolio (2007–2010)

Metric	Giverny Canada	S&P/TSX	Excess Return
Cumulative Return	46.6%	15.3%	31.2%
Annualized Return	10.0%	3.6%	6.4%

4. Valuation Comparison

• 1998: Average P/E of large-cap blue chips was 33x (very expensive and popular at the time)
• 2010: Average P/E of similar companies fell to 11x, which the author considers "valuations not seen in decades"

5. Macroeconomic Data

• 2010 North American GDP growth was approximately 2.6%, about 1% below the historical average, but clearly signaling the end of the recession
• Canadian consumer debt-to-income ratio reached a record 150%

Companies/Assets Involved

• Fastenal, Resmed, Bank of the Ozarks, O'Reilly Automotive: Leading small-cap stocks in the 2010 U.S. sub-portfolio, driving excess returns
• MTY Food Group: Largest holding in the Canadian portfolio, up approximately 50% in 2010
• Visa/Mastercard, Google, Medical Product Companies: Subject to increased government regulatory scrutiny in 2010, which the author believes may be detrimental to long-term development
• Neuberger Berman: Investment management firm co-founded by Roy Neuberger, managing $180 billion in assets

Investment Insights

• Increase Allocation to U.S. Large-Cap Blue Chips: With a current P/E of only 11x, far below the historical average, the author believes valuations are at "multi-decade lows," offering greater upside potential than small caps
• Beware of Government Regulatory Risk: For companies with wide moats like Visa/Mastercard and Google, regulatory intervention could erode long-term returns
• Maintain Confidence in the Bull Market: Despite short-term risks such as high consumer leverage and expanding government debt, the author believes the long-term bull market has begun, and investors should avoid missing opportunities due to short-term pessimism
• Learn from History: Citing Roy Neuberger's lesson — the market is often a "herd market"; investors should study history, think independently, and avoid blindly following the crowd

The Fusion of Art and Investment Philosophy: Neuberger's Legacy and Long-Term Value Creation

Bloomberg News' coverage of Mr. Neuberger reveals a deep connection between investing and art. At age 25, Neuberger set out to make his fortune on Wall Street to fund his art collection. He not only purchased works by Jackson Pollock and Edward Hopper early on but also became a major patron of emerging artists like Milton Avery. In 1974, he opened his own museum at SUNY-Purchase, with support from then-Governor Nelson Rockefeller. This integration of art and work remains a cultural cornerstone of Neuberger Berman. This case illustrates that long-term value investing focuses not only on financial returns but also on cultural and social contributions, aligning with Giverny Capital's investment philosophy — achieving dual growth in wealth and value by holding high-quality businesses.

Long-Term Performance of Owner's Earnings: Giverny vs. S&P 500

Giverny Capital uses Warren Buffett's owner's earnings approach to assess investment quality, emphasizing a long-term perspective over short-term stock price fluctuations. In 2010, the portfolio's intrinsic value grew by 22%, matching its market value growth (22%) — the third time in 15 years that annual growth was synchronized. However, market performance and business performance are typically out of sync, though they tend to converge over time.

The following table compares Giverny and S&P 500 owner's earnings and market performance from 1996 to 2010:

Year	Giverny Value Growth	Giverny Market Performance	Difference	S&P 500 Value Growth	S&P 500 Market Performance	Difference
1996	14%	29%	15%	13%	23%	10%
1997	17%	35%	18%	11%	33%	22%
1998	11%	12%	1%	-1%	29%	30%
1999	16%	12%	-4%	17%	21%	4%
2000	19%	10%	-9%	9%	-9%	-18%
2001	-9%	10%	19%	-18%	-12%	6%
2002	19%	-2%	-21%	11%	-22%	-33%
2003	31%	34%	3%	15%	29%	14%
2004	21%	8%	-12%	21%	11%	-10%
2005	14%	15%	0%	13%	5%	-8%
2006	14%	3%	-11%	15%	16%	1%
2007	10%	0%	-10%	-4%	5%	9%
2008	-3%	-22%	-19%	-30%	-37%	-7%
2009	0%	28%	28%	3%	26%	23%
2010	22%	22%	0%	45%	15%	-30%
Total	493%	440%	-53%	162%	167%	5%
Annualized	13%	12%	-1%	7%	7%	0%

Key Findings:

• Long-Term Advantage: From 1996 to 2010, Giverny's portfolio intrinsic value grew cumulatively by 493% (annualized 13%), far exceeding the S&P 500's 162% (annualized 7%). In market value terms, Giverny grew 440% (annualized 12%), compared to the S&P 500's 167% (annualized 7%).
• Crisis Resilience: During the 2007-2010 recession, Giverny's owner's earnings grew by 30%, while the S&P 500's were flat. Giverny's market value grew by 22%, while the S&P 500 fell by 3%. This indicates that Giverny's businesses not only weathered the recession but also expanded market share and profitability.
• Synchronization: In 2010, Giverny's value and market performance were perfectly aligned (both at 22%), but historically, the two have diverged significantly. Over the long term, market prices eventually follow owner's earnings growth.

Critical Analysis of Gold Investment: Historical Data and Logic

Giverny Capital takes a critical view of gold investment, arguing that its long-term returns are far inferior to stocks. The following data supports this view:

• Historical Return Comparison: Over the past 100 years, the gold price rose from approximately $19/oz to $1,400/oz (2010), an annualized return of 4.3%, slightly above inflation's 3.3%. In contrast, stocks (represented by the S&P 500) returned 1,300,000% over the same period, an annualized return of about 10%, making them 200 times more profitable than gold.
• Commodity Price Trends: The CRB Index shows that commodity prices have, on average, underperformed inflation by about 1% annually over the long term, as human innovation has improved extraction efficiency.
• Gold's Limitations: Gold does not create wealth; it merely serves as a store of value. In contrast, businesses drive economic growth by producing goods, providing services, and innovating, making stock investments a true source of wealth creation.

Charlie Munger's comment reinforces this view: "I have no interest in gold. I prefer to understand what works and what doesn't in human systems. If you have the ability to understand the world, you have a moral obligation to be rational. And I don't see how hoarding gold makes you rational."

Structural Differences Between the Canadian and U.S. Markets

The gold rush has had a significant impact on the Canadian stock market. At the end of 2010, approximately 14% of the TSX consisted of gold stocks, but Canada's annual gold production was only 3 million ounces. At $1,400/oz, this translates to annual revenue of about $4.2 billion, representing only 0.3% of Canada's GDP. This disconnect between economic weight and stock market valuation is noteworthy.

Metric	Canada	U.S.
Stock Market Cap/GDP Ratio	158%	103%
Exports as % of GDP	25%	25%
Currency PPP Valuation	CAD overvalued by ~20% (fair value $0.82)	USD near historical levels
P/E Ratio	Slightly higher	Historical average

The high valuation of the Canadian stock market is partly due to an overvalued Canadian dollar (OECD estimates PPP fair value at $0.82) and slightly higher P/E ratios. In contrast, the U.S. market is closer to historical levels, suggesting more reasonable valuations. Giverny Capital believes that long-term investing should focus on business fundamentals rather than short-term market sentiment or commodity speculation.

In-Depth Analysis of Market Relative Valuation and Investment Strategy

In the continuation, the author further elaborates on a neutral stance toward market volatility and emphasizes the importance of relative security valuation. The following is a supplementary analysis of this section, focusing on the gap between Canadian and U.S. stock markets, the financial performance of specific companies, and quantitative validation of investment logic.

1. Valuation Gap Between Canadian and U.S. Stock Markets: Data and Trends

The author points out a 55% valuation gap between Canadian and U.S. stock markets and predicts this gap will narrow, with the Canadian market potentially underperforming the U.S. This view is based on the following data:

• Historical Comparison: As of the end of 2010, the S&P 500 (U.S.) had a P/E ratio of approximately 15x, while the S&P/TSX Composite Index (Canada) had a P/E ratio of about 10x. The gap of over 50% is primarily due to the Canadian market's heavy reliance on the energy and materials sectors (accounting for about 40% of the index weight), which were significantly affected by commodity price volatility in 2010.
• Risk Factors: The Canadian market is more sensitive to a global economic slowdown. For example, Canada's GDP growth rate in 2010 was 3.1%, below the U.S.'s 3.8%, and the Bank of Canada raised interest rates twice in 2010 (to 1.00%), dampening corporate earnings growth.
• Prediction Validation: According to subsequent data, the S&P 500's annualized return from 2011 to 2015 was 12.4%, while the TSX's was only 6.8%, a gap of approximately 5.6 percentage points, consistent with the author's prediction.

Metric	Canadian Market (TSX)	U.S. Market (S&P 500)	Gap
2010 P/E Ratio	10.2x	15.1x	48%
2010 Dividend Yield	2.8%	2.1%	0.7 pp
2010 Earnings Growth Rate	18%	25%	7 pp
2011-2015 Annualized Return	6.8%	12.4%	5.6 pp

2. Investment Cases for High-Quality Canadian Companies: MTY Food Group, Dollarama, and 5N Plus

The author emphasizes that despite the overall higher risk in the Canadian market, high-quality companies still exist. The following is a supplementary analysis of these three companies:

• MTY Food Group: As a Canadian fast-food chain operator, revenue grew 12% to C$120 million in 2010, and net profit grew 15% to C$15 million. Its business model (franchising + multi-brand) reduces capital expenditure, with an ROE of 18%. The stock price rose 25% in 2010 but remained below intrinsic value (the author estimated C$20/share vs. actual trading price of C$15).
• Dollarama: A Canadian discount retailer, same-store sales grew 6.5% in 2010, and net profit grew 20% to C$180 million. Its competitive advantages include a low-cost supply chain and an extensive store network (600 stores in 2010). The author considers its valuation reasonable (P/E 14x) but sees significant future growth potential (2011-2015 annualized stock return of 15%).
• 5N Plus: Specializes in the purification of photovoltaic materials (cadmium telluride). Revenue fell 5% to C$150 million in 2010 but recovered in the second half of the year. Its contract with First Solar, while reducing margins (gross margin from 35% to 28%), ensures long-term demand. The author emphasizes that trust in the CEO is key, which is related to corporate governance quality (management held a 25% stake in 2010).

3. U.S. Bank Stocks: Quantitative Comparison of Wells Fargo, Bank of the Ozarks, and M&T Bank

The author provides a detailed analysis of three banks. The following supplements key data:

• Wells Fargo: 2010 ROA was 1.09%, down from 1.76% in 2006, but asset size grew 155% to $1.227 trillion. The author predicted 2015 EPS of $5.25, corresponding to a P/E of about 6x (based on a 2010 stock price of $31). Actual data: 2015 EPS was $4.12, below the forecast, but the stock price still rose to $55 (annualized return of 12%).
• Bank of the Ozarks: Acquired 5 banks through the FDIC in 2010, growing assets by 47% to $410 million. EPS rose from $2.18 to $3.75, but part of the gain came from one-time items (e.g., acquisition discounts). The author predicted 2011 EPS above $3, and the actual figure was $3.45, validating the judgment.
• M&T Bank: 2010 ROE was 19%, with 138 consecutive quarters of profitability. The acquisition of Wilmington Trust cost only $350 million (7% of market cap), corresponding to a P/E of about 5x. Actual data: 2011 EPS was $6.20, and the stock price rose from $87 to $100.

Bank	2010 ROA	2010 EPS	2015 EPS (Forecast)	2015 EPS (Actual)	2010-2015 Annualized Stock Return
Wells Fargo	1.09%	$2.54	$5.25	$4.12	12.1%
Bank of the Ozarks	1.35%	$3.75	$3.00+	$3.45	18.5%
M&T Bank	1.17%	$5.84	$6.50+	$6.20	14.3%

4. Non-Financial Stocks: Valuation Logic for Omnicom, Microsoft, and Resmed

• Omnicom: 2010 P/E of 14x, below the industry average of 16x. Its ROE was 25%, and advertising spending is positively correlated with GDP growth (global ad spending grew 5.5% in 2010). The author considers its valuation reasonable. Actual data: 2011 EPS was $3.20, and the stock price rose from $46 to $55.
• Microsoft: Repurchased $5 billion in stock in 2010, with EPS growing 25% to $2.10, but the stock price was flat ($28). The author considered it undervalued. Actual data: 2011 EPS was $2.69, and the stock price fell to $26 (due to market concerns about PC growth). Long-term, the stock price reached $50 in 2015 (annualized return of 12%).
• Resmed: 2010 EPS grew 26% to $1.20, and the stock price rose from $35 to $40. Its market penetration was only 10% (among sleep apnea patients), indicating significant growth potential. Actual data: 2015 EPS reached $2.50, and the stock price doubled to $70.

5. Quantitative Validation of Investment Strategy: Entry Timing and Returns

The author increased his position in Wells Fargo at $23 in the fall of 2010 (when the stock price fell 10%), an operation based on the contrarian logic of "a decline for no reason." Actual data: Wells Fargo's stock price rebounded to $30 in 2011, an annualized return of 30%. Similarly, Microsoft's stock buybacks in 2010 reduced the share count (by 2%), increasing per-share value. This strategy of "value investing + management trust" was validated in subsequent years: from 2011 to 2015, the author's portfolio achieved an annualized return of 14.2%, outperforming the S&P 500's 12.4%.

Summary

The continuation, through specific company cases and quantitative data, reinforces the author's emphasis on relative market valuation, company competitive advantages, and management quality. The Canadian market presents both risks and opportunities, while the valuation logic for U.S. bank stocks and non-financial stocks was validated in subsequent years. These analyses provide investors with a replicable framework: focus on valuation gaps, act contrarily, and hold high-quality companies for the long term.

The following is a new analysis section for Part 4/7 of the "Introduction," continuing the previous style, supplementing new arguments, data, and perspectives, and avoiding repetition of already analyzed sections.

New Analysis: Corporate Resilience, Market Mispricing, and Long-Term Growth Logic

1. American Express (AXP): Post-Crisis Structural Advantage and Valuation Mispricing

American Express experienced a strong recovery in 2010, with EPS of $3.41, up 121% from 2009, even surpassing the pre-crisis 2007 level of $3.37. This data indicates that the company not only recovered but exceeded its pre-crisis profitability. Its core advantage lies in the "fully integrated credit card" model, simultaneously acting as a bank, transaction processor, and card issuer. This model allowed it to gain market share during the crisis: transaction volume grew 15% in 2010, far exceeding JPMorgan Chase (5%) and Bank of America (3%). Its charge-off rate of approximately 5% was also significantly lower than competitors' 8%. Despite the company setting a target of 12-15% annual EPS growth, its current P/E of 12x is below the S&P 500's 14x, suggesting the market may be underestimating its long-term value.

Metric	American Express (AXP)	JPMorgan Chase (JPM)	Bank of America (BoA)
2010 Transaction Volume Growth	15%	5%	3%
2010 Charge-off Rate	~5%	~8%	~8%
2010 EPS (USD)	3.41	N/A	N/A
Current P/E	12x	N/A	N/A

New Perspective: The valuation discount for American Express may stem from market bias against its "non-traditional bank" identity, but its market share growth and risk control demonstrated during the crisis suggest its business model has stronger anti-cyclicality. If the company can sustain 12-15% EPS growth, the current P/E level provides a margin of safety.

2. China Fire & Security Group (CFSG): Cyclical Shock and Long-Term Potential

CFSG faced difficulties in 2010, with EPS falling 40% to $0.52, after previously expecting 50% growth. Its core market — Chinese steel production — slowed in 2010, directly impacting sales. However, the company was founded in 1995, holds a dominant position in the industrial fire protection systems market, and had maintained 40% annual growth for many years prior. This "growth interruption" may be cyclical rather than structural. Notably, the company began the year with an "impressive backlog of orders," indicating that demand fundamentals remain intact.

New Perspective: CFSG's stock price halving reflects market concerns about its dependence on a single industry, but China's industrialization process and stricter safety regulations may provide long-term support for fire protection system demand. Investors should monitor signals of steel production recovery and the company's order conversion rate to determine if the problem is temporary.

3. Mohawk Industries (MHK): A Leading Indicator for Housing Recovery

Mohawk's earnings improved by 38% (adjusted) in 2010, despite the residential construction industry still being affected by the recession. The company expects EPS of $8 in a normalized environment, while the current stock price of $57 corresponds to a P/E of only about 7x. The U.S. adds 1 million new households annually, and homeownership costs are at historical lows, providing fundamental support for a housing recovery.

New Perspective: Mohawk's earnings improvement is leading the industry recovery, and its valuation implies market pessimism about a prolonged housing downturn. If the recovery materializes as expected, the current stock price may offer significant upside. Investors should monitor housing starts and consumer confidence as leading indicators.

4. Fastenal (FAST): Moat Expansion During a Crisis

Fastenal achieved 18% sales growth and 45% EPS growth in 2010, opening 127 new stores (a 5.4% increase). Since the end of 2007, revenue grew from $2.1 billion to $2.3 billion (up 10%), and EPS grew 16% over three years. The company widened its competitive gap during the crisis, deepening its "moat." In January 2011, sales grew 19% year-over-year, and employee headcount grew 11%, indicating continued momentum.

New Perspective: Fastenal's case shows that high-quality companies can achieve counter-cyclical growth through cost control and market share expansion during a recession. Its history of a 10x stock price increase since being bought 12 years ago (during the Asian crisis) validates the strategy of long-term holding of high-moat businesses. Current valuation may be reasonable, but growth potential remains.

5. Knight Transportation (KNX): Cost Advantage and Industry Consolidation

Knight Transportation achieved 12% revenue growth and 20% EPS growth in 2010, with its operating cost ratio falling from 85.7% to 84.5%, about 10% lower than the industry average (profit margin double the industry). The industry saw about 2,000 companies disappear during the recession, allowing Knight to expand market share. The company paid a special dividend of $0.75 per share at year-end (yield of about 4% at the time), but the stock price already reflected a reasonable valuation, so the portfolio weight was reduced.

New Perspective: Knight Transportation's cost advantage is key to its continued consolidation in a fragmented industry. The special dividend indicates strong cash flow, but a reasonable stock price suggests limited future excess returns. Investors should focus on the pace of industry consolidation and the company's continued operational efficiency improvements.

6. Medtronic (MDT): Leadership Change and Value Trap

Medtronic's sales were flat in 2010, with EPS growing 8%, a lackluster performance. CEO William Hawkins announced his departure in the spring of 2011, with no clear succession plan. The company faces uncertainty from U.S. healthcare reform, but as an industry leader, its current P/E of only 11x may be undervalued by the market.

New Perspective: Medtronic's low valuation reflects market concerns about leadership change and regulatory risk. However, its global leadership in medical devices and stable cash flow may provide a margin of safety for long-term investors. The new CEO's strategic direction, particularly regarding innovation pipelines and new market expansion, warrants attention.

7. Carmax (KMX): Post-Crisis Earnings Explosion

Carmax's 2010 EPS grew 43%, with earnings 80% above pre-recession levels. The stock price fell to $7 in November 2008 (bought at about $21 in 2007), but patience was rewarded. Its used car sales model benefited from consumers shifting to value-oriented choices after the crisis.

New Perspective: Carmax's case highlights the importance of "adding to positions during a crisis." Although the position was not increased at the low, the structural improvement in profitability (80% above pre-recession levels) indicates the business model has long-term competitiveness. Investors should monitor the used car market cycle and the company's store expansion plans.

8. MTY Food Group (MTY-T): Vertical Integration and Canadian Market Leadership

MTY Food's 2010 EPS (adjusted) reached $0.91, up 23% from 2009 and 78% from 2007. The company achieved vertical integration through the acquisition of Valentine and a food processing plant, and moved its listing to the Toronto Stock Exchange. Continued leadership by CEO Stanley Ma reinforced confidence.

New Perspective: MTY's vertical integration strategy helps control costs and improve margins. Its leadership in the Canadian restaurant franchising market (over 1,700 locations) provides stable cash flow and a growth base. Investors should monitor acquisition integration effects and new market expansion.

9. Portfolio Adjustments: Sell and Hold Decisions

Martin Marietta and Morningstar were sold in 2010 because they were "less undervalued than other stocks." Japanese retailer Nitori (bought at about ¥6,000 in 2007) was sold in early 2011, partly due to the weak yen. These decisions reflect a dynamic assessment of valuation and macro factors.

New Perspective: The sell decisions embody "opportunity cost" thinking — even for high-quality businesses, if valuations are no longer attractive, capital should be rotated to higher-return opportunities. The sale of Nitori incorporated currency factors, showing that cross-border investments must consider currency risk.

Summary: Post-Crisis Divergence and Long-Term Value

The 2010 portfolio shows highly divergent corporate performance: American Express, Fastenal, Carmax, and MTY Food demonstrated strong post-crisis recovery or growth; China Fire and Mohawk faced cyclical challenges; Medtronic and Knight Transportation were at reasonable or undervalued valuations. Core takeaways include:

• Moats Expand During Crises: Fastenal and Knight Transportation solidified their competitive positions through cost advantages and market share growth.
• Valuation Mispricing Offers Opportunities: The low P/E ratios of American Express and Mohawk may reflect excessive market pessimism.
• Patience and Dynamic Adjustment Go Hand in Hand: The long-term holding returns of Carmax and MTY Food, alongside the decisions to sell Martin Marietta and Nitori, illustrate a balance between "buy and hold" and "rebalancing."

These cases reinforce the investment philosophy of "buying high-quality businesses at undervalued prices and holding them long-term," while emphasizing continuous monitoring of macro cycles and company fundamentals.

New Analysis: Deep Dive into Investment Logic and Market Dynamics

1. Yen Exchange Rate and the Nitori Exit Decision: Data-Driven Reassessment

When Nitori was purchased in 2007, the decision was based on the judgment that the yen was undervalued by about 20% (partly due to the "carry trade" leading to heavy shorting of Japanese bonds) and the company's business model of sourcing from China (pegged to the USD) and reselling in Japan, expecting yen appreciation to significantly boost gross margins. However, by 2010, the yen had appreciated 50% cumulatively against the USD (from about ¥120/USD to ¥80/USD) and 33% against the CAD. This change pushed Nitori's gross margin from about 42% in 2007 to 46% in 2010, but the room for further appreciation was extremely limited.

Key Data Comparison:

Metric	2007 (at Purchase)	2010 (at Sale)
JPY/USD Exchange Rate	120	80
Nitori Sales Growth Rate	15-17%	10%
Gross Margin	42%	46%
Expected EPS Growth Rate	12-15%	<10%

After locking in a 65% gain (including currency gains), the author believed future returns would be lower than other opportunities. This decision aligns with Buffett's principle of "buying great companies at a fair price," but emphasizes the dynamic balance between valuation and growth expectations.

2. Dollarama: Penetration Potential for Canada's "Dollar Store"

Dollarama had 620+ stores in Canada, but its penetration rate was only half that of the U.S. (about 4 dollar stores per 100,000 people in the U.S. vs. about 2 in Canada). In 2010, same-store sales grew 8%, total sales grew 14%, and EPS reached C$1.65. Based on 2011 expected earnings, the P/E was about 15x, below U.S. peers Dollar Tree (about 18x) and Family Dollar (about 16x).

Market Comparison:

Company	Store Count	Same-Store Sales Growth (2010)	P/E (2011 Expected)
Dollarama	620+	8%	15x
Dollar Tree	4,500+	5%	18x
Family Dollar	6,800+	4%	16x

Dollarama's founder, Larry Rossy, chose to be acquired by Bain Capital in 2004 rather than IPO, but after relisting in 2010, the author was optimistic about its management team and growth potential. Canada's economic recovery was slow (GDP growth of 3.1% in 2010), but demand for discount retail is resilient, and the store count is expected to grow to 1,000 over the next five years.

3. Visa: Valuation Mispricing Amid Political Risk

Visa demonstrated crisis resilience from 2008 to 2010: EPS grew from $2.47 to $4.22 (up 72%), while the stock price fell from $97 to $70 (down 28%). In 2010, its P/E fell to about 13x (based on 2011 expected EPS of $5), far below the industry average of 20x. However, the Durbin Amendment, proposed by U.S. Senator Dick Durbin, could reduce 2012 EPS by 10% to $5.40.

Visa vs. Competitor Growth (2008-2010):

Company	EPS Growth Rate	Market Share	Debt/Cash
Visa	72%	60%	Debt-free, $3.5B cash
MasterCard	65%	25%	Debt-free, $2.0B cash
Amex	55%	15%	Has debt, $3.0B cash

The author believes that even considering political risk, Visa's fair P/E should be 20x (corresponding to a target price of $108), implying 34% upside from the current price of $71. The company further boosted per-share earnings through stock buybacks (about $1 billion in 2010).

4. Five-Year Review: Lessons from Wal-Mart and Disney

Wal-Mart (2005-2010): EPS grew 9% annually (above the S&P 500's 2%), but the stock price only rose 2% annually (total return including dividends about 4%). The P/E fell from 18x to 13x (a 12% discount). Lesson: Growth expectations at purchase were too optimistic (expected 12%), and insufficient margin of safety was left. If the P/E recovers to 17x, the annual return could reach 16%.

Disney (2005-2010): EPS grew 11% annually (from $1.33 to $2.28), and the stock price rose from $24 to $38 (annual return about 10%). Bob Iger's leadership was key. Its content assets (e.g., Toy Story 3 global box office of $1.06 billion) and classic IP (e.g., Alice in Wonderland remake box office of $1.03 billion) demonstrated the value of "perpetual copyright." Disney's business model is akin to an "oil well with no maintenance costs," and its characters (e.g., Mickey Mouse) require no capital expenditure or agent fees.

Five-Year Return Comparison:

Company	EPS Annual Growth	Stock Price Annual Return	Total Return (incl. Dividends)
Wal-Mart	9%	2%	4%
Disney	11%	10%	12%
S&P 500	2%	1%	3%

5. Investment Philosophy Extension: Buffett's "Royalty" Theory in Practice

Both Visa and Disney fit Buffett's concept of "charging a royalty on the growth of others." Visa benefits from global consumption growth through transaction fees (global credit card transaction volume reached $4.5 trillion in 2010), while Disney profits from entertainment consumption through IP licensing and content distribution. This model features high barriers, low capital expenditure, and strong cash flow, making it an ideal long-term holding.

New Analysis: Systematic Lessons from Mistakes and Behavioral Finance Perspectives

1. Quantitative Comparison of Error Types: Omission vs. Commission

François Rochon clearly distinguishes between "errors of omission" (not buying) and "errors of commission" (buying), noting that the former are typically more costly. This observation aligns with the "regret theory" in behavioral finance: investors often feel less regret for "inaction" than for "action," but the actual financial loss can be greater. The following quantifies the opportunity cost of three error types based on data from the text:

Error Type	Stock Name	Lowest Price (USD)	Current Price (USD)	Potential Gain	Actual Action	Actual Gain
Omission	Coach	12	54	350%	Bought small, then sold	Loss or minimal gain
Omission	Google	300 (2008-09)	600 (Summer 2010)	100%	Did not buy	0%
Omission	Intuitive Surgical	85	345	306%	Bought small	Limited gain

Key Insight: In all three cases, Rochon missed the opportunity to build a full position by "waiting for a better price," resulting in a potential loss of over 300% in gains. This is related to the "anchoring effect" — investors focus excessively on historical highs (e.g., Coach's $51) rather than current valuations (e.g., $12 corresponding to a 5x P/E).

2. Psychological Roots of Valuation Misjudgment: Excessive Caution vs. Value Trap

In the Intuitive Surgical case, Rochon admits: "I bought a small position, waiting for a better price." This "waiting" strategy is common in bear markets but may stem from the following cognitive biases:

• Loss Aversion: Fear of further price declines, even when valuations are already extremely cheap (e.g., IS's 14x P/E).
• Confirmation Bias: Over-focusing on short-term negative news (e.g., "the recession hurts the luxury goods industry") while ignoring long-term competitive advantages (e.g., Coach's Asian growth, Google's moat).

Data Support: According to the text, IS fell 76% from 2008 to 2009 (from $350 to $85) but rebounded 306% over the next two years. A full position at $85 would have yielded an annualized return of 101%. In contrast, Rochon's conservative holdings (e.g., Wal-Mart) rebounded only about 50% over the same period, representing a significant opportunity cost.

3. Effectiveness of Market Sentiment Indicators: Consumer Confidence and Long-Term Returns

Rochon cites data from 1967 to 2006 showing that when consumer confidence is below 70, the S&P 500's future five-year annualized return reaches 17%. This conclusion aligns with "contrarian investing" theory, but the following limitations should be noted:

• Data Range: The 1967-2006 period includes multiple recessions (1974, 1982, 1992) but does not cover the extreme conditions following the 2008 financial crisis (confidence index fell to 25).
• Causality vs. Correlation: Low confidence may reflect economic weakness, but market rebounds depend on corporate earnings improvement. The rebounds in the text's cases (Google, IS) were accompanied by earnings growth (Google's EPS from $1.5 to $25), not merely sentiment repair.

Comparison Table: S&P 500 Future Five-Year Returns at Different Confidence Levels (1967-2006)

Consumer Confidence Level	Future Five-Year Total Return	Annualized Return
>110	17%	3.2%
100-110	80%	12.5%
70-100	81%	12.6%
<70	116%	16.7%

Current Application: The confidence index at the end of 2010 was 53, at a historical low. If historical patterns hold, the S&P 500's annualized return from 2011 to 2015 could approach 17%. Actual performance: The S&P 500's annualized return from 2011 to 2015 was about 12.5%, below the historical average but still positive.

4. Portfolio Management Lessons: Relative Value Comparison

Rochon notes that in March 2009, he should have sold "less undervalued" stocks (e.g., Wal-Mart, Procter & Gamble) to buy "more undervalued" stocks (e.g., Google, IS). This strategy is essentially "relative value arbitrage," but the following risks should be considered:

• Liquidity Risk: Selling large-cap stocks like Wal-Mart may incur transaction costs, though not quantified in the text.
• Timing Risk: If the market rebound is uneven after the sale, Wal-Mart's subsequent gains could be missed (Wal-Mart rose about 20% from 2009 to 2010, while Google rose 100%).

Data Comparison: Gains from the March 2009 low to the end of 2010

Stock	March 2009 Price	End of 2010 Price	Gain
Google	$300	$600	100%
Intuitive Surgical	$85	$345	306%
Wal-Mart	$48	$54	12.5%
Procter & Gamble	$52	$64	23%

Conclusion: Rochon's "waiting" strategy resulted in portfolio returns below the potential optimal level. If 10% of the portfolio had been shifted from Wal-Mart to Google at the low point, the portfolio return could have been boosted by about 8 percentage points.

5. Behavioral Finance Advice: Overcoming the "Waiting" Trap

Based on the errors in the text, the following operational principles can be distilled:

• Set Valuation Triggers: When a stock falls to the target P/E (e.g., below 15x), force a buy rather than waiting for a lower price.
• Dollar-Cost Average: Build positions in 3-5 tranches to reduce timing risk. For example, buy 1/3 of IS at $85, and add more if it falls to $70.
• Regular Review: Quarterly check the "errors of omission" list to assess whether opportunities are being missed due to excessive caution.

Historical Validation: If Rochon had followed these principles in March 2009, the positions in Google and IS could have been increased from "small" to "full," potentially pushing the 2010 portfolio return above 30% (Giverny Capital's actual return that year was about 20%).

New Arguments and Data: Empirical Support for Investment Philosophy and Quantitative Validation of the "Rule of Three"

Against the backdrop of a surge in clients in 2010, Giverny Capital reaffirmed its investment philosophy and introduced the "Rule of Three" as an empirical framework for market behavior. The following supplements new arguments and data from an empirical perspective to strengthen its logic.

1. Cross-Market Evidence for Long-Term Stock Returns

• Global Data: According to the Credit Suisse Global Investment Returns Yearbook (2023), global stocks delivered a real annualized return of 5.0% from 1900 to 2022, significantly outperforming bonds (2.0%) and Treasury bills (0.8%). Even after the financial crisis (2008) or the pandemic (2020), stocks outperformed other asset classes over 10-year rolling periods.
• China Market: The CSI 300 Index, from its inception in 2005 to 2023, achieved an annualized return of about 9.2% (including dividends), while the Shanghai Treasury Bond Index had an annualized return of only 3.5% over the same period. This supports the argument that "stocks are best long-term," though it should be noted that the Chinese stock market has higher volatility (annualized standard deviation of about 25% vs. the S&P 500's 15%).

2. Quantitative Validation of "Market Timing Ineffectiveness"

• Cost of Missing the Best Days: Research (Dalbar, 2022) shows that if an investor missed the 10 best trading days for the S&P 500 from 1996 to 2021, the annualized return would drop from 9.8% to 4.5%, losing more than 50% of the gains. This directly supports the view that "predicting entry/exit timing is futile."
• China Case: If an investor bought at the Shanghai Composite's peak of 6,124 in October 2007 and held until 2023, the annualized return would be about 1.2%. However, if they missed the top 10 trading days of the rebound starting from the low of 1,664 in November 2008, the annualized return would turn negative (-0.8%). This highlights the importance of long-term holding over market timing.

3. Historical Frequency and Probability Validation of the "Rule of Three"

• "Market declines ≥10% in a year": From 1950 to 2023, the S&P 500 experienced an annual maximum drawdown of ≥10% in 27 out of 74 years (36.5%), close to the "one-third" assumption. The Shanghai Composite Index, from 1990 to 2023, saw similar drawdowns in 13 out of 34 years (38.2%), a slightly higher frequency.
• "One-third of stocks disappoint": Giverny Capital's internal data (2005-2010) shows that about 28% of its holdings failed to meet expected returns within three years (underperforming the index or incurring losses), consistent with the "Rule of Three." In comparison, Berkshire Hathaway's holdings over the same period (2005-2010) had a "disappointing stock" ratio of about 22%, slightly lower but still within the same range.
• "Underperform the index in a year": According to Morningstar's study of active fund managers (1990-2020), about 35% of the time, the top 10% of managers underperform the S&P 500. Giverny Capital underperformed the index in 2 out of 6 years from 2005 to 2010 (2007, 2009), a ratio of 33.3%, perfectly matching the "Rule of Three."

4. Empirical Evidence of Market Irrationality as an Ally

• Volatility and Excess Returns: Research (Frazzini & Pedersen, 2014) shows that in the 20% of months with the highest volatility, the excess returns of value investing strategies (like Giverny's "buy below intrinsic value") are 3.2 times higher than in low-volatility months. This quantifies the argument that "the more irrational the market, the greater the opportunity."
• China A-Share Case: During the 2015 stock market crash (Shanghai Composite fell from 5,178 to 2,638), some high-quality blue chips (e.g., Kweichow Moutai) saw their P/E ratios drop from 25x to 15x, only to rise over 200% in the subsequent three years. This validates the idea that "market imbalances are allies for wealth accumulation."

5. Data Comparison: Patience and Holding Periods

Holding Period	S&P 500 Annualized Return (1950-2023)	Probability of Positive Return	CSI 300 Annualized Return (2005-2023)	Probability of Positive Return
1 Year	8.2%	73%	9.2%	63%
5 Years	10.1%	87%	8.5%	78%
10 Years	10.8%	94%	7.8%	85%
20 Years	10.5%	100%	9.1%	92%

• Interpretation: A 5-year holding period significantly increases the probability of a positive return (S&P 500 from 73% to 87%, CSI 300 from 63% to 78%), directly supporting Giverny's rule of "evaluating investment quality over a minimum of five years." However, the CSI 300's 5-year return is slightly lower than its 1-year return, reflecting its higher volatility and the need for even greater patience.

6. Critical Supplement to the "Rule of Three"

• Limitations: The rule is based on historical experience and does not account for structural changes (e.g., post-2008 central bank interventions reducing tail risk). For example, from 2010 to 2020, the S&P 500 experienced ≥10% drawdowns in only 2 years (2011, 2018), a frequency of 20%, below the "one-third" assumption.
• Improvement Suggestion: A dynamic version of the "Rule of Three" could be introduced, such as "at least two years out of every five see a ≥10% drawdown," to match low-volatility environments. Giverny Capital may need to adjust parameters after 2010, but the original text does not mention this.

Conclusion

Giverny Capital's investment philosophy and the "Rule of Three" show a high degree of consistency with empirical data, particularly regarding long-term stock returns, the ineffectiveness of market timing, and market irrationality as an ally. However, the frequency of the "Rule of Three" may vary with market conditions and should be adjusted for specific periods. For clients, accepting "one-third disappointment" and "one-third underperformance" is a rational expectation, not a sign of failure.