Profit and Loss Calculations for Combined Positions

Now that you know the economics of individual positions, let's combine them. The Series 7 expects you to calculate profit and loss for stock-and-option combinations. The exam tests the underlying math, not any specific method, so you can solve these problems however you like. The examples below organize each scenario into cash outflows and cash inflows, which is one common approach. Some students prefer payoff diagrams or memorized strategy formulas; either works.

Calculating P&L: Track Every Cash Flow

For any stock-and-option position, the math reduces to:

Profit or Loss = (Total cash in) − (Total cash out)

• If cash in > cash out = Profit
• If cash out > cash in = Loss

Remember: Options contracts represent 100 shares, so multiply per-share calculations by 100 for total dollar amounts.

Covered Call P&L Examples

Setup: Buy stock at $50, sell a 50 call for $3

Scenario 1: Stock stays at $50 (call expires worthless)

Result: $53 - $50 = $3 profit

Scenario 2: Stock rises to $60 (call is exercised)

Result: $53 - $50 = $3 profit (gain capped; missed $10 upside beyond strike)

Exam Tip: Gotchas

• A covered call writer's gain is capped. Even if the stock doubles, the shares are called away at the strike price. The writer keeps only the premium above the stock purchase price.
• When a call is exercised, the writer sells at the STRIKE price, not the market price. Always use the strike for the exercise transaction.

Scenario 3: Stock falls to $40 (call expires worthless)

Result: $43 - $50 = $7 loss

Protective Put P&L Examples

Setup: Buy stock at $50, buy a 50 put for $2

Scenario 1: Stock rises to $60 (put expires worthless)

Result: $60 - $52 = $8 profit

Scenario 2: Stock falls to $40 (put is exercised)

Result: $50 - $52 = $2 loss (maximum loss)

Scenario 3: Stock falls to $0 (put is exercised)

Result: $50 - $52 = $2 loss (same maximum loss: the put guarantees sale at $50)

Exam Tip: Gotchas

• When a put is exercised, the holder sells at the STRIKE price, not the market price. This is why the protective put limits loss regardless of how far the stock falls.
• The premium is always a cost for the protective put holder. It reduces profit on the upside and defines the maximum loss on the downside.

Key Calculation Patterns

• For any combined stock-and-option position, always account for the stock cost/proceeds AND the option premium
• When a call is exercised against a covered writer, the writer delivers stock at the strike price and keeps the premium
• When a put is exercised by a protective put holder, the holder sells stock at the strike price but has already paid the premium
• The premium is always part of the equation: it is a debit for buyers and a credit for sellers

Practice Framework

When the exam gives you a combined position scenario, follow these steps:

1. Identify every cash outflow: stock purchases + premiums paid
2. Identify every cash inflow: stock sales + premiums received + exercise/assignment proceeds
3. Subtract: cash in − cash out = profit or loss
4. Sanity-check against the strategy's max gain / max loss formula

Think of it as a personal ledger. Every dollar that leaves your account goes on one side, every dollar that comes in goes on the other. Subtract one from the other and the difference is your profit or loss. The premium always appears in the ledger, whether the option is exercised or expires worthless.

Some students like to draw two columns and run totals. Others prefer payoff diagrams, memorized strategy formulas, or doing the arithmetic in their head. The exam doesn't reward any particular method, only the correct answer. Use whatever lets you reach it quickly and reliably.

Exam Tip: Gotchas

• The premium is always part of the equation. A common mistake is forgetting the premium when the option expires worthless. The buyer still paid it; the seller still received it.
• Multiply per-share amounts by 100. The exam may give you per-share numbers, but answer choices are often in total-contract dollars.