Can someone explain how to draw and interpret option payoff and profit diagrams? I always mix up the shapes.

Question

AcadiFi · Accepted Answer

Option payoff diagrams are one of the most visual topics in CFA Level II. The key is to master the four building blocks — long call, short call, long put, short put — and then combine them. ```mermaid graph TD subgraph Four Building Blocks LC[Long Call
Payoff = max 0, ST - K
Profit = Payoff - Premium] SC[Short Call
Payoff = -max 0, ST - K
Profit = Premium - Payoff] LP[Long Put
Payoff = max 0, K - ST
Profit = Payoff - Premium] SP[Short Put
Payoff = -max 0, K - ST
Profit = Premium - Payoff] end subgraph Common Strategies LC --> |+ Long Put| PP[Protective Put
Floor on downside] LC --> |+ Short Call higher K| BS[Bull Call Spread
Capped upside, reduced cost] SC --> |+ Long Call higher K| BRS[Bear Call Spread
Credit spread, bearish] LP --> |+ Short Put lower K| BPS[Bear Put Spread
Capped downside profit] end style LC fill:#2d6a4f,color:#fff style SC fill:#7f1d1d,color:#fff style LP fill:#2d6a4f,color:#fff style SP fill:#7f1d1d,color:#fff ``` **Worked Example — Bull Call Spread on Clearwater Inc.:** Clearwater stock trades at $50. You want bullish exposure but want to reduce the premium cost. | Position | Strike | Premium | |---|---|---| | Buy 1 Call | K1 = $48 | Pay $4.50 | | Sell 1 Call | K2 = $55 | Receive $1.80 | | **Net Cost** | | **$2.70** | **Payoff Analysis at Expiration:** | Stock Price (ST) | Long Call Payoff | Short Call Payoff | Net Payoff | Net Profit | |---|---|---|---|---| | $45 | $0 | $0 | $0 | -$2.70 | | $48 | $0 | $0 | $0 | -$2.70 | | $50 | $2 | $0 | $2 | -$0.70 | | $50.70 | $2.70 | $0 | $2.70 | **$0.00** (breakeven) | | $53 | $5 | $0 | $5 | +$2.30 | | $55 | $7 | $0 | $7 | +$4.30 | | $60 | $12 | -$5 | $7 | +$4.30 | **Key Observations:** - **Maximum loss = Net premium paid = $2.70** (occurs when ST <= $48) - **Maximum profit = (K2 - K1) - Net premium = ($55 - $48) - $2.70 = $4.30** (occurs when ST >= $55) - **Breakeven = K1 + Net premium = $48 + $2.70 = $50.70** **How to Build Any Payoff Diagram:** 1. Draw the X-axis (stock price at expiration) and Y-axis (profit/loss) 2. For each option position, draw its individual profit line 3. **Vertically add** the profit lines at each price point 4. The combined line is your strategy's profit diagram **Other Important Strategies for Level II:** | Strategy | Construction | Market View | Max Profit | Max Loss | |---|---|---|---|---| | Protective Put | Long stock + Long put | Bullish with floor | Unlimited | Strike + Put premium - Stock price | | Covered Call | Long stock + Short call | Neutral to mild bull | Strike - Stock price + Premium | Stock price - Premium | | Straddle | Long call + Long put same K | High volatility expected | Unlimited | Total premiums paid | | Collar | Long stock + Long put + Short call | Bounded range | Call strike - Stock price | Stock price - Put strike | **Exam Tip:** When given a combined position, always calculate the net premium first, then find the breakeven, maximum profit, and maximum loss. These are the four things the exam will ask about. Sharpen your derivatives skills with our CFA Level II practice question bank.

Can someone explain how to draw and interpret option payoff and profit diagrams? I always mix up the shapes.

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