Comparing Scenarios Across Stocks: Relative Attractiveness
A single stock's valuation is meaningless in isolation. You can know that Stock A is worth $50 per share, but that tells you nothing about whether you should buy it instead of Stock B or Stock C. The goal of scenario analysis is not just to value individual stocks but to rank them by attractiveness so you can deploy capital to the best opportunities.
Comparing valuations across stocks requires consistent frameworks. If you use different assumptions for Stock A (15% growth, bull case) versus Stock B (10% growth, bull case), you'll skew your rankings. You need apples-to-apples analysis: given each stock's scenario outcomes, which offers the better risk-adjusted return?
Quick definition: Relative attractiveness is a ranking of multiple stocks based on expected return (upside to fair value), downside risk (gap to bear case), and probability-weighted outcome (expected value of holding each stock). A stock with 40% upside, limited downside, and 60% probability of base case is more attractive than a stock with 50% upside but 80% probability of bear case.
Key takeaways
- Rank stocks by expected return (upside to fair value at current price), not fair value alone
- Adjust for risk: high expected return with high downside risk is less attractive than moderate return with low downside risk
- Compare probability-weighted returns (expected value), not just base case or bull case returns
- Use risk-adjusted return metrics (Sharpe ratio, upside/downside ratio) to compare across different risk profiles
- Portfolio construction should favor low-risk-high-return stocks over high-risk-moderate-return stocks
- Scenario ranges reveal concentration risk (narrow range = high conviction) that should inform position sizing
The Problem with Comparing Fair Values
Many investors compare stocks by absolute fair value: "Stock A is worth $50, Stock B is worth $40, so Stock A is more attractive."
This is wrong. You don't care what a stock is worth; you care what you can buy it for. If Stock A is worth $50 and trades at $45 (10% discount), and Stock B is worth $40 and trades at $25 (37% discount), Stock B is more attractive even though its fair value is lower.
The correct metric is expected return, not fair value:
Expected Return (%) = (Fair Value - Current Price) / Current Price × 100%
| Stock | Current Price | Fair Value | Expected Return |
|---|---|---|---|
| Stock A | $45 | $50 | +11% |
| Stock B | $25 | $40 | +60% |
Stock B offers 60% upside while Stock A offers only 11%. B is more attractive, regardless of absolute fair value.
Expected Return vs. Downside Risk: The Risk-Return Tradeoff
Expected return is only half the story. You also need to consider downside risk—how much can you lose if you're wrong?
Using our scenario examples:
Stock A:
- Current price: $45
- Bull case: $50 (+11% return)
- Base case: $50 (+11% return)
- Bear case: $35 (-22% risk)
- Risk: 22% downside, 11% upside = unfavorable 1:2 ratio
Stock B:
- Current price: $25
- Bull case: $65 (+160% return)
- Base case: $40 (+60% return)
- Bear case: $12 (-52% risk)
- Risk: 52% downside, 60% upside = favorable 1.2:1 ratio
Stock A has limited upside and significant downside. Stock B has substantial upside and substantial downside, but more upside than downside. B is more attractive.
The Upside/Downside Ratio
Calculate the ratio of potential upside to potential downside:
Upside/Downside Ratio = (Fair Value - Current Price) / (Current Price - Bear Case Price)
Stock A:
- Upside/Downside = ($50 - $45) / ($45 - $35) = $5 / $10 = 0.5
- For every 1% downside risk, you make 0.5% upside. Bad trade.
Stock B:
- Upside/Downside = ($40 - $25) / ($25 - $12) = $15 / $13 = 1.15
- For every 1% downside risk, you make 1.15% upside. Good trade.
Prefer stocks with ratios >1.0. Avoid stocks with ratios <0.5. This single metric combines upside and downside into one ranking.
Probability-Weighted Expected Returns
Expected return to fair value assumes you hold to fair value. But fair value is just the most likely outcome; bull and bear cases can also occur.
Calculate the probability-weighted expected return by weighting each scenario's return by its probability:
Stock A Scenarios:
| Scenario | Probability | Price Target | Return | Weighted Return |
|---|---|---|---|---|
| Bull | 25% | $60 | +33% | +8.3% |
| Base | 50% | $50 | +11% | +5.5% |
| Bear | 25% | $35 | -22% | -5.5% |
| Probability-Weighted Expected Return | 100% | +8.3% |
Stock B Scenarios:
| Scenario | Probability | Price Target | Return | Weighted Return |
|---|---|---|---|---|
| Bull | 30% | $65 | +160% | +48% |
| Base | 50% | $40 | +60% | +30% |
| Bear | 20% | $12 | -52% | -10.4% |
| Probability-Weighted Expected Return | 100% | +67.6% |
Stock B's probability-weighted return is +67.6%, far exceeding Stock A's +8.3%. Even accounting for probabilities, B is substantially more attractive.
Adjusting for Volatility: Risk-Adjusted Returns
A stock with 60% expected return but 60% volatility (very uncertain outcomes) may be less attractive than a stock with 25% expected return and 10% volatility (low uncertainty).
Risk-adjusted return metrics account for volatility:
Sharpe Ratio = (Expected Return - Risk-Free Rate) / Standard Deviation of Returns
This measures return per unit of risk. Higher Sharpe ratios are better.
Example: Assume risk-free rate of 4%, typical stock volatility for Stock A is 15%, Stock B is 35%.
Stock A: Sharpe = (8.3% - 4%) / 15% = 0.29 Stock B: Sharpe = (67.6% - 4%) / 35% = 1.81
Stock B has a much higher Sharpe ratio (1.81 vs. 0.29), meaning it offers more return per unit of risk. This is the metric that matters for portfolio optimization.
Comparing Stocks with Different Time Horizons
Scenarios often assume different time horizons. Stock A might be valued over 3 years (fair value $50 in 3 years), while Stock B is valued over 5 years (fair value $40 in 5 years). How do you compare them?
Annualize the returns:
Annualized Return = (Ending Value / Starting Value)^(1/N) - 1
Stock A: 3-year return of +11% = (1.11)^(1/3) - 1 = 3.5% annually Stock B: 5-year return of +60% = (1.60)^(1/5) - 1 = 10% annually
Stock B's 10% annualized return beats Stock A's 3.5%, even accounting for the different time horizons.
Building a Comparison Matrix
Create a matrix ranking all stocks you're considering.
| Stock | Price | Fair Value | Expected Return | Bear Case | Upside/Downside Ratio | Probability-Weighted Return | Ranking |
|---|---|---|---|---|---|---|---|
| Stock A | $45 | $50 | +11% | $35 | 0.5 | +8.3% | 4 |
| Stock B | $25 | $40 | +60% | $12 | 1.15 | +67.6% | 1 |
| Stock C | $60 | $65 | +8% | $45 | 0.27 | +3.2% | 5 |
| Stock D | $80 | $100 | +25% | $60 | 1.0 | +28% | 2 |
| Stock E | $35 | $50 | +43% | $20 | 1.3 | +45% | 3 |
Rank 1 (most attractive) is Stock B: high upside, favorable risk/reward, strong probability-weighted return.
Rank 2 is Stock D: 25% expected return with balanced risk.
Rank 3 is Stock E: 43% expected return, better risk/reward than A.
Ranks 4-5 are A and C: low expected return with unfavorable risk/reward.
Deploy capital to stocks ranked 1-3, avoid 4-5.
The Margin of Safety and Relative Attractiveness
A stock with high expected return but no margin of safety is risky. Use margin of safety as a tiebreaker when expected returns are similar:
| Stock | Expected Return | Margin of Safety | Attractiveness |
|---|---|---|---|
| Stock X | +35% | 25% | High |
| Stock Y | +35% | 12% | Moderate |
| Stock Z | +35% | 5% | Low |
All three offer 35% upside, but Stock X has a 25% cushion if valuation is wrong; Stock Z has only 5%. Stock X is more attractive because you're wrong less often.
Comparing Within Sectors vs. Across Sectors
Comparing a tech stock to a utility to a financial makes sense, but be careful about:
-
Different growth assumptions: Tech stocks might have 15-20% bull case growth; utilities might have 3-5%. Don't penalize utilities for having lower growth if the business model justifies it. Compare expected returns, not growth rates.
-
Different margin assumptions: Tech might have 20-25% operating margins; retailers might have 2-3%. Again, compare expected returns, which accounts for the different margin profiles.
-
Different multiple assumptions: Growth stocks trade at 8-10x revenue; mature stocks trade at 1-2x revenue. The valuation framework should account for this. Don't compare multiples; compare returns.
The ranking matrix accounts for all these differences. A utility with 15% expected return and a tech stock with 15% expected return are equally attractive for portfolio purposes, even though they're fundamentally different businesses.
Scenario Ranges and Conviction: How Certain Are You?
A tight scenario range (bull $50, base $45, bear $40) suggests you're confident in the outcome. A wide range (bull $80, base $40, bear $10) suggests you're uncertain.
Use this to adjust position sizing:
| Stock | Bull/Bear Ratio | Confidence | Position Size |
|---|---|---|---|
| Stock A | 1.4x | High | 5-6% |
| Stock B | 5.4x | Low | 2-3% |
| Stock C | 2.0x | Medium | 3-4% |
Stock A has a narrow range (bull is only 1.4x bear), indicating high confidence. You can hold a larger position.
Stock B has a wide range (bull is 5.4x bear), indicating low confidence. Hold a smaller position to manage the uncertainty.
This inverse relationship between conviction and position size is counter-intuitive but correct. High-conviction ideas should be bigger; low-conviction ideas should be smaller.
Reranking Stocks Quarterly
Market prices move, earnings arrive, guidance changes. Your ranking will shift. Rerank stocks quarterly after earnings season.
Example: Three months ago, Stock B ranked #1 with 67.6% expected return. It's now at $35 (up from $25). Recalculate:
Fair value remains $40 (thesis unchanged). Expected return is now: ($40 - $35) / $35 = +14% (down from +60%). New ranking: #3 instead of #1.
This is correct. As a stock appreciates toward fair value, its attractiveness declines. You should trim Stock B and redeploy into newly undervalued opportunities (ones that just became more attractive).
Common Mistakes
Mistake 1: Comparing Fair Values Instead of Expected Returns
You see that Stock A has fair value of $100 and Stock B has fair value of $60, so you buy A. But if A trades at $95 and B trades at $30, B is far more attractive. Always compare expected returns, not fair values.
Mistake 2: Ignoring Downside Risk in Favor of Upside Potential
Stock A has +50% upside but -40% downside. Stock B has +30% upside but -10% downside. You chase Stock A because the return is higher. But B's risk-adjusted return is better. Consider both upside and downside.
Mistake 3: Comparing Bull Cases Across Stocks
"Stock A's bull case is $100; Stock B's bull case is $60; I'll buy A." Wrong. The bull case is just one scenario. Compare probability-weighted returns across all scenarios, not just bulls.
Mistake 4: Not Accounting for Market Price in Relative Comparisons
You valued Stock A 6 months ago at fair value $50. You valued Stock B yesterday at fair value $50. You assume both are equally attractive. But Stock A might trade at $40 (offering 25% upside) while Stock B trades at $48 (offering 4% upside). Current market prices matter for relative ranking.
Mistake 5: Forgetting That High Expected Return Often Means High Risk
A stock with 100% expected return and 80% downside risk is not more attractive than a stock with 25% expected return and 5% downside risk. Compare risk-adjusted returns (Sharpe ratio, upside/downside ratio), not just returns.
FAQ
Should I use the same scenarios for all stocks in my comparison?
No. Each stock has different fundamentals and deserves tailored scenarios. Stock A might have 20% growth potential; Stock B only 5%. Build realistic scenarios for each, then compare across scenarios.
How many stocks should I compare simultaneously?
As many as necessary. If you're building a $100,000 portfolio, compare the 20-30 most attractive opportunities you can find. If you're picking the top 5-10, compare those.
What if two stocks have identical expected returns and risk profiles?
Then they're equally attractive. You can hold both or either. Some investors would pick the one with better management, stronger moat, or more favorable long-term trends. But from a pure valuation perspective, they're equivalent.
Should I rerank stocks daily or just quarterly?
Quarterly at minimum. Daily reranking adds noise and encourages overtrading. However, if material news arrives (earnings, guidance changes, competitive disruptions), rerank immediately and reassess.
How do I compare a growth stock (high return potential, high uncertainty) to a value stock (low return, high certainty)?
Use risk-adjusted return metrics like Sharpe ratio. A growth stock with 60% return and 40% volatility might have a Sharpe ratio of 1.4. A value stock with 15% return and 8% volatility might have a Sharpe of 1.4 as well. They're equally attractive on a risk-adjusted basis.
Should I overweight my highest-ranked stock?
Not necessarily. The highest-ranked stock has the best risk-adjusted return, but holding 30% of your portfolio in one stock is risky. Rank stocks and hold the top-ranked in position size proportional to their conviction (narrow range = larger position). Diversify across top 5-10 ranked stocks.
Related concepts
- Building Bull, Base, and Bear Cases
- Using Scenarios for Investment Decisions
- Exit Scenarios and Targets
- Position Sizing and Portfolio Construction
Summary
Relative attractiveness is determined by expected return (upside to fair value), downside risk (gap to bear case), and the ratio between them. A stock with 60% upside and 40% downside is more attractive than a stock with 25% upside and 60% downside, even though the first has higher absolute upside.
Rank stocks using expected return and upside/downside ratio. Deploy capital to the highest-ranked opportunities. Use scenario ranges to adjust position sizing: high-conviction stocks (narrow ranges) deserve larger positions; low-conviction stocks (wide ranges) deserve smaller positions.
Rerank quarterly as prices move and new information arrives. As a stock appreciates toward fair value, its attractiveness declines, and you should trim and redeploy to newly undervalued opportunities. This systematic approach to ranking turns investment analysis into portfolio construction.