Learn moneyness and breakeven points

Overview

Moneyness describes the relationship between an option's strike price and the current market price of the underlying asset. It tells you whether exercising the option right now would make or lose money. Breakeven points are the exact stock prices where your total profit/loss equals zero after accounting for the premium you paid.

Moneyness Categories

WHY this classification? Options have two value components: intrinsic value (profit from immediate exercise) and time value (potential for future movement). Moneyness captures intrinsic value. An ITM call with strike $50 when stock trades at$60 has $10 intrinsic value. An OTM call has zero intrinsic value—you're paying purely for the chance the stock rises.

Deriving Intrinsic Value from First Principles

For a Call Option:

• You have the right to buy at strike $K$
• Stock currently trades at $S$
• If you exercise: you pay $K$, receive asset worth $S$, net gain = $S - K$
• Intrinsic Value = $\max(S - K, 0)$ (can't be negative—you'd just not exercise)

$\text{Call Intrinsic} = \begin{cases} S - K & \text{if } S > K \text{ (ITM)} \\ 0 & \text{if } S \leq K \text{ (ATM/OTM)} \end{cases}$

For a Put Option:

• You have the right to sell at strike $K$
• Stock currently trades at $S$
• If you exercise: you sell asset worth $S$, receive $K$, net gain = $K - S$
• Intrinsic Value = $\max(K - S, 0)$

$\text{Put Intrinsic} = \begin{cases} K - S & \text{if } S < K \text{ (ITM)} \\ 0 & \text{if } S \geq K \text{ (ATM/OTM)} \end{cases}$

WHY max(…, 0)? Options give you a right, not obligation. If exercising loses money, you walk away. You never exercise into a loss, so intrinsic value floors at zero.

Breakeven Points

Why These Formulas?

Call Buyer:

1. You pay premium $P$ upfront (this is your cost)
2. At expiration, if stock = $S$, your payoff from exercising = $\max(S - K, 0)$
3. Total P&L = Payoff − Premium = $(S - K) - P$ (assuming $S > K$, else payoff is 0 and you just lose $P$)
4. Set P&L = 0: $(S - K) - P = 0 \implies S = K + P$

$\boxed{\text{Call Breakeven} = K + P}$

Put Buyer:

1. You pay premium $P$ upfront
2. At expiration, if stock = $S$, payoff = $\max(K - S, 0)$
3. Total P&L = $(K - S) - P$ (assuming $S < K$)
4. Set P&L = 0: $(K - S) - P = 0 \implies S = K - P$

$\boxed{\text{Put Breakeven} = K - P}$

Intuition: The premium is a "hurdle cost." For a call, the stock must rise beyond the strike by the premium amount to recover your cost. For a put, the stock must fall below the strike by the premium amount.

Worked Examples

Common Mistakes

Active Recall Exercises

Connections

• Intrinsic vs Time Value – Moneyness determines intrinsic value; time value is the extra you pay
• Option Premium Components – Premium = intrinsic + time + volatility; breakeven uses total premium
• Payoff Diagrams – Visual tool for seeing breakeven as the x-intercept of the P&L line
• Greeks and Moneyness – Delta changes dramatically as options move ITM/OTM
• Assignment Risk – ITM options at expiration are likely to be exercised (assigned if you're short)
• Vertical Spreads – Combine ITM and OTM options to reduce breakeven cost

Summary Table

#flashcards/stock-market

What is moneyness? :: Moneyness describes whether an option has intrinsic value right now—whether exercising it immediately would produce a profit (ITM), break-even (ATM), or loss (OTM), ignoring the premium.

What is the intrinsic value formula for a put? :: $\max(K - S, 0)$ where $K$ is strike, $S$ is stock price. It's the profit from selling above market, never negative.

If you buy a call with strike $100 and premium$5, stock is at $103, what's your P\&L? ::: Stock is ITM but below breakeven ($105). P&L = $(103 - 100) - 5 = -2$. You lose $2 despite being ITM.

If a put has strike $80, premium$4, and stock is $76 at expiration, are you profitable? ::: Yes. Intrinsic =$80 - 76 = 4$, P\&L =$4 - 4 = 0$... wait, that's breakeven exactly. At$76$you break even. Below$76$ you profit.

If stock = strike price exactly, is the option ITM, ATM, or OTM? :: At-The-Money (ATM). Intrinsic value is zero (exercising gives no gain), but time value may still exist if expiration is distant.

Concept Map

Hinglish (regional understanding)