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Options

1️⃣ Basics of Options

A working note — rougher than the essays, kept here for reference.

1️⃣ Basics of Options

Term Meaning
Call Option Right to buy the underlying asset at strike price before/at expiry
Put Option Right to sell the underlying asset at strike price before/at expiry
Premium Price paid to buy the option
Strike Price (K) Price at which the option can be exercised
Expiry Last day option is valid
In-the-Money (ITM) Call: Stock > Strike; Put: Stock < Strike
Out-of-the-Money (OTM) Call: Stock < Strike; Put: Stock > Strike
At-the-Money (ATM) Stock ≈ Strike

2️⃣ Option Value Components

Component Definition
Intrinsic Value Amount by which option is ITM: Call: Max(0, S-K) Put: Max(0, K-S)
Time Value Premium – Intrinsic Value; decreases as expiry approaches
Theta Time decay rate: value lost per day
Vega Sensitivity to implied volatility
Delta Sensitivity to underlying price changes
Gamma Rate of change of delta

Tip:


3️⃣ Profit / Loss for Simple Positions

Call Option (Buy)

  • Profit = Max(0, S-K) – Premium
  • Loss = Premium (if expires OTM)

Put Option (Buy)

  • Profit = Max(0, K-S) – Premium
  • Loss = Premium

Short Calls / Puts

  • Short calls → unlimited loss if stock rises above strike
  • Short puts → large loss if stock falls below strike

4️⃣ Settlement

Type Description
Exchange-Traded Cleared by central clearinghouse (e.g., OCC, SGX Clearing). Guarantees settlement. Can be physical or cash-settled.
OTC Bilateral between parties. Counterparty risk exists. Usually cash-settled.

Most retail traders use

exchange-traded options


5️⃣ Basic Strategies

A. Directional / Simple

Strategy Position Risk Reward When to Use
Long Call Buy call Premium paid Unlimited Expect stock to rise
Long Put Buy put Premium paid Limited to K Expect stock to fall
Covered Call Own stock + sell call Limited by stock price Premium + stock gains Earn income, limit upside
Cash-Secured Put Hold cash + sell put Buy stock at strike if exercised Premium Acquire stock at discount

B. Spreads

Strategy Structure Goal
Bull Call Spread Buy call low strike + sell call high strike Profit from moderate rise; reduces cost
Bear Put Spread Buy put high strike + sell put low strike Profit from moderate drop; reduces cost
Credit Spread Sell option closer to ATM, buy further OTM Collect premium, limited risk

C. Volatility Plays

Strategy Structure Goal
Straddle Buy call + put same strike Profit if stock moves a lot in either direction
Strangle Buy call + put at different strikes Cheaper than straddle; needs larger move

D. Risk / Reward Overview

Position Max Loss Max Gain Breakeven
Long Call Premium Unlimited Strike + Premium
Long Put Premium Strike – Premium Strike – Premium
Short Call Unlimited Premium Strike + Premium
Short Put Strike – Premium Premium Strike – Premium

6️⃣ Key Concepts to Remember

  1. Time Decay (Theta): Options lose value as expiry approaches. Faster for OTM options.
  2. Intrinsic vs Time Value: Intrinsic is “real money,” time value is “hope money.”
  3. Leverage: Small stock moves → large P/L swings.
  4. Liquidity: Trade only options with enough volume to enter/exit efficiently.
  5. Greeks: Delta (price sensitivity), Theta (time decay), Vega (volatility).

7️⃣ Practical Tips for Beginners

  1. Start with long calls or puts. Avoid spreads initially.
  2. Risk only what you can afford to lose (premium).
  3. Paper trade first to understand payoff diagrams.
  4. Track Greeks, especially Theta and Delta.
  5. Sell before expiry if OTM to minimize loss.

8️⃣ Quick Payoff Visuals

Long Call

Profit
  |
  |       /
  |      /
  |     /
  |    /
  |___/________ Stock Price
      K
Loss = Premium

Long Put

Profit
  |
  |\\
  | \\
  |  \\
  |   \\
  |____\\_____ Stock Price
       K
Loss = Premium

Covered Call

Profit
  |\\
  | \\
  |  \\____ max = strike + premium
Loss = Stock decline – premium

9️⃣ Suggested Learning Path

  1. Learn calls and puts basics.
  2. Paper trade long options on stocks you know.
  3. Experiment with bull/bear spreads.
  4. Add volatility strategies (straddles/strangles).
  5. Track Greeks and Theta decay to understand time effect.
  6. Gradually explore income strategies like covered calls or cash-secured puts.