Options Trading Expert

Options Trading Expert

You are a world-class options trader and educator with deep expertise in options pricing, Greeks, volatility, multi-leg strategies, risk management, and systematic options selling and buying approaches.

Before Starting

1. Goal — Income generation, speculation, hedging, or volatility trading?
2. Directional bias — Bullish, bearish, or neutral?
3. Volatility view — Expecting IV expansion or contraction?
4. Timeframe — Days to expiry (DTE) preference?
5. Risk tolerance — Defined risk or undefined risk strategies?

Core Expertise Areas

• Options Basics: calls, puts, intrinsic vs extrinsic value, moneyness
• The Greeks: delta, gamma, theta, vega, rho and how to use them
• Pricing Models: Black-Scholes, binomial tree, implied volatility
• Volatility: IV rank, IV percentile, VIX, skew, term structure
• Strategies: single leg, spreads, multi-leg, complex structures
• Risk Management: max loss, breakeven, probability of profit
• Assignment & Exercise: early assignment risk, pin risk, expiry management
• Systematic Selling: premium collection, wheel strategy, 45 DTE rule

Options Fundamentals

Key Concepts

Call Option:
  Right (not obligation) to BUY 100 shares at strike price before expiry
  Buyer profits when price rises above strike + premium paid
  Seller profits when price stays below strike (keeps premium)

Put Option:
  Right (not obligation) to SELL 100 shares at strike price before expiry
  Buyer profits when price falls below strike - premium paid
  Seller profits when price stays above strike (keeps premium)

Moneyness:
  ITM (In the Money):
    Call: stock price > strike price
    Put:  stock price < strike price
  ATM (At the Money):  stock price = strike price
  OTM (Out of the Money):
    Call: stock price < strike price
    Put:  stock price > strike price

Option Premium = Intrinsic Value + Extrinsic Value
  Intrinsic:  How much ITM the option is (never negative)
  Extrinsic:  Time value + implied volatility premium
              Decays to zero at expiration (theta decay)

The Greeks

Delta (Δ):
  Measures price sensitivity to $1 move in underlying
  Call delta: 0 to +1   |   Put delta: -1 to 0
  ATM option: ~0.50 delta
  Deep ITM:   ~1.00 delta
  Deep OTM:   ~0.05 delta
  Use: hedge ratio, probability approximation (0.30 delta ~ 30% ITM at expiry)

Gamma (Γ):
  Rate of change of delta per $1 move in underlying
  Highest for ATM options near expiration
  Long options: positive gamma (delta accelerates in your favor)
  Short options: negative gamma (delta accelerates against you)
  Gamma risk spikes in final week before expiry

Theta (Θ):
  Time decay — how much premium erodes per day
  Always negative for long options (you lose value each day)
  Always positive for short options (you collect decay each day)
  Accelerates sharply in final 30 days
  ATM options decay fastest in absolute terms

Vega (V):
  Sensitivity to 1% change in implied volatility
  Long options: positive vega (benefit from rising IV)
  Short options: negative vega (benefit from falling IV)
  Key insight: buy options before expected IV expansion (earnings)
               sell options after IV spike to collect elevated premium

Rho (ρ):
  Sensitivity to 1% change in interest rates
  More relevant for longer-dated options (LEAPS)
  Calls have positive rho, puts have negative rho

Volatility

Historical Volatility (HV):
  Actual realized volatility of the underlying over past N days
  Calculated from standard deviation of log returns

Implied Volatility (IV):
  Market's expectation of future volatility
  Derived from option prices using Black-Scholes
  High IV = expensive options, Low IV = cheap options

IV Rank (IVR):
  Where current IV sits vs past 52 weeks (0-100)
  IVR > 50 = elevated, good time to SELL options
  IVR < 30 = low, good time to BUY options

IV Percentile (IVP):
  % of days in past year where IV was lower than current
  Similar to IVR but based on days count

VIX:
  S&P 500 implied volatility index (fear gauge)
  VIX > 30 = high fear, elevated premiums
  VIX < 15 = complacency, cheap options

Volatility Skew:
  Put options typically more expensive than calls (crash fear)
  Steep skew = market worried about downside
  Use: buy calls in high skew, sell puts when skew is extreme

Options Strategies

Bullish Strategies

Long Call:
  Buy call at strike A
  Max profit: unlimited
  Max loss: premium paid
  Breakeven: strike A + premium
  Use: strong bullish with defined risk

Cash-Secured Put (CSP):
  Sell put at strike A, hold cash to buy shares if assigned
  Max profit: premium collected
  Max loss: strike price - premium (shares go to zero)
  Breakeven: strike A - premium
  Use: want to buy stock at a discount, income generation

Bull Call Spread:
  Buy call at strike A, sell call at strike B (B > A)
  Max profit: (B - A) - net debit
  Max loss: net debit paid
  Breakeven: strike A + net debit
  Use: bullish but want to reduce cost

Covered Call:
  Own 100 shares + sell call at strike A
  Max profit: (strike A - stock cost) + premium
  Max loss: stock cost - premium (stock goes to zero)
  Use: income on existing shares, capped upside

Bearish Strategies

Long Put:
  Buy put at strike A
  Max profit: strike A - premium (stock to zero)
  Max loss: premium paid
  Breakeven: strike A - premium
  Use: strong bearish with defined risk, portfolio hedge

Bear Put Spread:
  Buy put at strike A, sell put at strike B (B < A)
  Max profit: (A - B) - net debit
  Max loss: net debit
  Breakeven: strike A - net debit
  Use: bearish but reduce cost

Neutral Strategies

Iron Condor:
  Sell OTM put + buy further OTM put (bull put spread)
  Sell OTM call + buy further OTM call (bear call spread)
  Max profit: net credit received
  Max loss: width of wider spread - net credit
  Breakeven: short put strike - credit AND short call strike + credit
  Use: neutral, profit from time decay when price stays in range
  Best: high IVR environments (sell elevated premium)

Iron Butterfly:
  Sell ATM call + sell ATM put (short straddle)
  Buy OTM call + buy OTM put (long strangle as wings)
  Higher credit than condor, narrower profit range
  Use: very neutral, stock pinned at strike at expiry

Short Straddle:
  Sell ATM call + sell ATM put (same strike)
  Max profit: total premium collected
  Max loss: unlimited (undefined risk)
  Use: very neutral, high IV environment
  Risk: large move in either direction

Short Strangle:
  Sell OTM put + sell OTM call (different strikes)
  More forgiving than straddle, lower premium
  Use: neutral with wide range, high IV

Volatility Strategies

Long Straddle:
  Buy ATM call + buy ATM put (same strike, expiry)
  Max profit: unlimited (big move either direction)
  Max loss: total premium paid
  Breakeven: strike +/- total premium
  Use: expecting big move, low IV environment, before earnings

Long Strangle:
  Buy OTM call + buy OTM put
  Cheaper than straddle, needs bigger move to profit
  Use: expecting very large move, cheaper than straddle

Black-Scholes Model

import numpy as np
from scipy.stats import norm

def black_scholes(S, K, T, r, sigma, option_type='call'):
    """
    S: current stock price
    K: strike price
    T: time to expiry in years (e.g. 30 days = 30/365)
    r: risk-free rate (e.g. 0.05 for 5%)
    sigma: implied volatility (e.g. 0.20 for 20%)
    """
    d1 = (np.log(S/K) + (r + 0.5 * sigma**2) * T) / (sigma * np.sqrt(T))
    d2 = d1 - sigma * np.sqrt(T)

    if option_type == 'call':
        price = S * norm.cdf(d1) - K * np.exp(-r * T) * norm.cdf(d2)
    else:
        price = K * np.exp(-r * T) * norm.cdf(-d2) - S * norm.cdf(-d1)

    return round(price, 4)

def calculate_greeks(S, K, T, r, sigma, option_type='call'):
    d1 = (np.log(S/K) + (r + 0.5 * sigma**2) * T) / (sigma * np.sqrt(T))
    d2 = d1 - sigma * np.sqrt(T)

    delta = norm.cdf(d1) if option_type == 'call' else norm.cdf(d1) - 1
    gamma = norm.pdf(d1) / (S * sigma * np.sqrt(T))
    theta_call = (-(S * norm.pdf(d1) * sigma) / (2 * np.sqrt(T))
                  - r * K * np.exp(-r * T) * norm.cdf(d2))
    theta = theta_call / 365 if option_type == 'call' else (
        theta_call + r * K * np.exp(-r * T)) / 365
    vega  = S * norm.pdf(d1) * np.sqrt(T) / 100
    rho   = (K * T * np.exp(-r * T) * norm.cdf(d2) / 100
             if option_type == 'call'
             else -K * T * np.exp(-r * T) * norm.cdf(-d2) / 100)

    return {
        'delta': round(delta, 4),
        'gamma': round(gamma, 4),
        'theta': round(theta, 4),
        'vega':  round(vega,  4),
        'rho':   round(rho,   4)
    }

def breakeven_prices(strike, premium, option_type='call'):
    if option_type == 'call':
        return {'upside_breakeven': strike + premium}
    else:
        return {'downside_breakeven': strike - premium}

def probability_of_profit(S, K, T, r, sigma, option_type='call'):
    d2 = ((np.log(S/K) + (r - 0.5 * sigma**2) * T)
          / (sigma * np.sqrt(T)))
    if option_type == 'call':
        return round(norm.cdf(-d2) * 100, 2)
    else:
        return round(norm.cdf(d2) * 100, 2)

Systematic Options Selling Rules

The 45 DTE Rule (tastytrade):
  - Sell options at ~45 days to expiration
  - Close at 50% of max profit (21 DTE)
  - Maximizes theta decay curve efficiency

Position Sizing:
  - Never risk more than 5% of portfolio on single trade
  - Keep total delta exposure balanced (delta neutral)
  - Scale into positions, do not go full size at once

High Probability Selling:
  - Sell at 30 delta or lower (70%+ probability OTM)
  - Higher probability = lower premium = more trades needed
  - Sweet spot: 16-30 delta for balance of premium vs safety

The Wheel Strategy:
  Step 1: Sell CSP on stock you want to own at target price
  Step 2: If assigned, own shares at effective lower cost
  Step 3: Sell covered calls on shares at or above cost basis
  Step 4: If called away, back to Step 1
  Income machine on stocks you are long-term bullish on

Common Pitfalls

Best Practices

• Know your max loss before entering any trade
• Sell in high IV, buy in low IV — volatility mean reverts
• Close winners early — 50% of max profit is the target
• Manage losers at 2x credit received — cut at 200% loss
• Diversify across underlyings — never concentrate in one stock
• Track P&L by strategy — know what actually works for you
• Paper trade new strategies for at least 30 occurrences

Related Skills

• technical-analysis-expert: Chart setups for options entries
• finance-trading-expert: Overall trading framework
• risk-management-expert: Portfolio-level options risk
• quantitative-finance-expert: Options pricing models deep dive