Defintions

Options Greeks Cheat Sheet

All examples below use BHP: current price $83.33, put strike $80, option price $1.15, 15 days to expiry.

Implied Volatility (IV)

What it is: The market's expectation of how much the stock price will move over the next year, expressed as a percentage.

Value What it means
0–20% Low volatility — stock expected to be calm
20–50% Normal range for most stocks
50–80% High volatility — big moves expected
80%+ Extreme volatility — options are expensive

Your BHP put: IV ≈ 24% → Fairly normal volatility for a large ASX stock like BHP.


Delta (Δ)

What it is: How much the option's price moves when the stock moves $1.

Value What it means
0.00 to +1.00 Calls — rises when stock rises
0.00 to −1.00 Puts — falls when stock rises
±0.50 Roughly 50/50 chance of expiring in the money
±0.80–1.00 Deep in the money — moves almost like the stock
±0.01–0.10 Far out of the money — very unlikely to profit

Your BHP put: Delta ≈ −0.20 → For every $1 BHP rises, this put loses ~$0.20. For every $1 BHP falls, it gains ~$0.20. Also read as roughly a 20% chance of expiring in the money.


Gamma (Γ)

What it is: How much delta itself changes when the stock moves $1. Think of it as delta's sensitivity.

Value What it means
High (0.05+) Delta changes rapidly — option is very sensitive to price moves
Low (0.001–0.005) Delta barely changes with price moves
Near expiration Gamma spikes dramatically

Your BHP put: Gamma ≈ 0.07 → If BHP drops $1, delta moves from about −0.20 to roughly −0.27. Meaningful, because this put is only 15 days out and close to the strike.


Theta (Θ)

What it is: How much value the option loses each day just from time passing, assuming the stock price stays flat. Always negative for buyers.

Value What it means
−0.01 to −0.05 Slow decay — often far from expiration
−0.05 to −0.20 Moderate decay
−0.20+ Fast decay — usually near expiration or high IV

Your BHP put: Theta ≈ −0.04 → Loses about four cents per day (×100 shares per contract) just from time passing. As a seller, this works for you — every day BHP stays above $80, the option you sold decays toward zero.


Vega (ν)

What it is: How much the option's price changes when IV moves 1%.

Value What it means
High (0.50+) Very sensitive to volatility changes
Low (0.01–0.10) Less affected by volatility shifts
Long options You benefit when IV rises
Short options You benefit when IV falls

Example: If your BHP put has a Vega of 0.05 and IV jumps from 24% to 28%, the option gains roughly $0.20 in value (×100 = $20 per contract) — bad news if you're short the put.


Rho (ρ)

What it is: How much the option's price changes when interest rates move 1%. Usually the least important Greek for short-term traders.

Value What it means
Positive (calls) Rising rates slightly increase call value
Negative (puts) Rising rates slightly decrease put value
Near zero Short-dated options barely affected

With only 15 days to expiry, Rho has almost no practical effect on your BHP put.


Delta as a Probability Estimate

Delta is commonly used as a rough estimate of the probability an option expires in the money. It's not mathematically exact (the true theoretical probability is a related figure called N(d2)), but it's close enough that most traders use it this way in practice.

Delta Rough probability of expiring ITM
±0.10 ~10% chance
±0.25 ~25% chance
±0.50 ~50% chance (coin flip)
±0.80 ~80% chance

Traders often pick strikes by targeting a delta — e.g. selling puts around 0.20–0.30 delta (like your BHP $80 put) to aim for roughly a 70–80% chance of keeping the full premium.


Buying vs. Selling Options — Risk Profile

Buying (long) Selling (short/writing)
Max loss Limited to premium paid Can be very large (naked calls: unlimited; naked/cash-secured puts: strike price × 100)
Max gain Can be large/unlimited (calls) Limited to premium collected
Time decay (theta) Works against you Works for you
Why WSB accounts blow up Rarely from buying alone Usually from selling naked options with leverage, then getting caught by a big move

Income Strategies

Cash secured put: Sell a put and set aside cash equal to strike × 100. Keep the premium regardless. If assigned, you buy 100 shares at the strike price — often used on stocks you're happy to own anyway, effectively lowering your cost basis by the premium received.

Covered call (stock secured call): Own 100 shares, sell a call against them. Keep the premium regardless. If assigned, you sell your shares at the strike — a way to generate income from stock you already hold.

The wheel strategy: Sell cash secured puts to acquire shares you want; once assigned, sell covered calls against those shares to generate ongoing income; if called away, go back to selling puts. A cyclical income strategy combining both.

Important nuance: If you get assigned on a cash secured put and plan to hold long-term, this isn't a realized loss — you've simply bought shares at (strike − premium), even if the market price is temporarily lower. It only becomes a real cash loss if you close the option itself at a worse price than you sold it for (e.g. via a stop loss).


Stop Loss & Take Profit on Options

These trigger a buy-back (if you're short) or a sell (if you're long) at a set option price, not the stock price.

If you sold (short) an option:

If you bought (long) an option:

Example: Sell BHP put at $1.15, stop loss at $2.15. If triggered, you buy back at $2.15 having only received $1.15 — that's a real cash loss of $100 per contract, not a discount. This is different from being assigned shares at expiration, which is a stock purchase, not a cash loss (assuming you're happy to hold the shares).


Open Interest

The total number of contracts of a specific strike/expiry currently open (not yet closed, exercised, or expired) — different from volume, which is how many traded today.

Why it matters: Higher open interest generally means tighter spreads and easier entry/exit. Low open interest — common on many ASX options strikes, especially further OTM ones — often means wide spreads and harder fills. It's also watched as a sentiment/positioning indicator, especially around major expiries.


Trading Options on the ASX


Quick Reference: Your BHP Put ($80 Strike, 15 Days to Expiry)

Greek Approx. Value Plain English
IV ~24% Normal volatility for BHP
Delta ~−0.20 Gains ~$20 per contract for every $1 BHP falls; roughly 20% chance of finishing ITM
Gamma ~0.07 Delta shifts noticeably as BHP moves — this put is close to the strike
Theta ~−0.04 Loses ~$4/day per contract from time alone (works in your favour as the seller)
Contract credit $115 $1.15 quote × 100 shares

Key Concepts to Remember


Worked Example: BHP Cash Secured Put

Stock price: $83.33 | Strike: $80 | Expiry: 15 days | Option price: $1.15 (sell to open)

Scenario What happens
Option price decreases Good for you — stock staying above $80, option losing value toward zero
Option price increases Bad for you — stock falling toward/below $80, higher chance of assignment
Stop loss at $2.15 hit You buy back at $2.15 vs. sold at $1.15 → real loss of $100/contract
Held to expiry, assigned at $80 You buy 100 shares at $80, keep the $1.15 premium → effective cost basis ≈ $78.85/share
Assigned but happy to hold long-term Not a realized loss — you own shares you wanted, at a discount from the premium

Revision #2
Created 3 July 2026 01:17:04 by Conor
Updated 3 July 2026 02:05:11 by Conor