7.2 Options Fundamentals: Calls, Puts & Moneyness

Exchange-traded options are among the most versatile financial instruments available in capital markets. They allow investors to customize return distributions, hedge existing equity portfolios against adverse declines, generate supplemental cash flow, and achieve magnified speculative leverage with predefined capital exposure. In Canada, standardized exchange-traded options are listed on the Bourse de Montréal (MX) and cleared through the Canadian Derivatives Clearing Corporation (CDCC).

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1. Core Mechanics: Rights, Obligations, and Contract Terms

An option is a standardized derivative contract between two parties that grants the purchaser the right—without any obligation—to buy or sell a specified quantity of an underlying asset at a fixed price within a defined time frame.

Foundational Contract Terms:
- Underlying Asset: The common stock, ETF, or index upon which the option is written (e.g., Royal Bank of Canada, iShares S&P/TSX 60 ETF).
- Contract Multiplier: In Canada, standard equity option contracts cover exactly 100 shares of the underlying stock.
- Strike (Exercise) Price: The guaranteed transaction price per share at which the underlying stock may be bought or sold.
- Expiration Date: The date upon which the option contract terminates and ceases to exist. Standard Canadian monthly equity options expire on the third Friday of the expiration month.
- Option Premium: The market price paid by the buyer to the seller per share (quoted on a per-share basis, so a \$2.50 premium represents a total cash outlay of \$250.00 for a 100-share contract).

The Two Contract Types: Calls and Puts

Every option contract belongs to one of two fundamental classifications:

1. Call Option: Grants the holder the right to buy the underlying shares at the strike price. Buyers are bullish; writers are bearish or neutral.
2. Put Option: Grants the holder the right to sell the underlying shares at the strike price. Buyers are bearish; writers are bullish or neutral.

Exercise Styles: American vs. European

• American-Style Options: May be exercised by the holder on any business day up to and including the expiration date. Standard equity and ETF options traded on the Bourse de Montréal are American-style.
• European-Style Options: May be exercised only on the final expiration date. Many index options (such as the S&P/TSX 60 Index Option, ticker SXO) are European-style, which simplifies pricing and risk modeling for institutional writers.

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2. The Four Fundamental Option Profiles

An investor can participate in the options market in one of four foundational roles. The rights, obligations, risk boundaries, and directional market expectations of each profile are summarized below:

                      MARKET OUTLOOK
             BULLISH                     BEARISH
     +-------------------------+-------------------------+
 B   |      LONG CALL          |        LONG PUT         |
 U   | - Right to BUY          | - Right to SELL         |
 Y   | - Max Gain: Unlimited   | - Max Gain: Strike - P  |
 E   | - Max Loss: Premium     | - Max Loss: Premium     |
 R   +-------------------------+-------------------------+
 S   |       SHORT PUT         |       SHORT CALL        |
 E   | - Obligation to BUY     | - Obligation to SELL    |
 L   | - Max Gain: Premium     | - Max Gain: Premium     |
 L   | - Max Loss: Strike - P  | - Max Loss: Unlimited   |
     +-------------------------+-------------------------+

1. Long Call (Call Buyer / Holder)

• Action: Pays the cash premium upfront.
• Right: Holds the right to purchase 100 shares at the strike price at any point prior to expiration.
• Directional Bias: Bullish (profits when the stock price rises significantly).
• Maximum Gain: Theoretically unlimited, as the stock price can climb indefinitely.
• Maximum Loss: Strictly limited to the premium paid (occurs if the stock finishes at or below the strike price).

2. Short Call (Call Seller / Writer)

• Action: Collects the cash premium upfront.
• Obligation: Assumes the contractual obligation to sell 100 shares at the strike price if assigned an exercise notice.
• Directional Bias: Bearish to Neutral (profits if the stock remains stagnant or declines).
• Maximum Gain: Strictly limited to the premium received.
• Maximum Loss: Theoretically unlimited if the position is uncovered (naked), because the writer must buy shares on the open market at ever-increasing prices to satisfy the exercise assignment.

3. Long Put (Put Buyer / Holder)

• Action: Pays the cash premium upfront.
• Right: Holds the right to sell 100 shares at the strike price on or before expiration.
• Directional Bias: Bearish (profits when the stock price falls significantly).
• Maximum Gain: Substantial, reaching a maximum of $\text{Strike Price} - \text{Premium Paid}$ if the underlying stock drops to $0.00.
• Maximum Loss: Strictly limited to the premium paid (occurs if the stock finishes at or above the strike price).

4. Short Put (Put Seller / Writer)

• Action: Collects the cash premium upfront.
• Obligation: Assumes the contractual obligation to purchase 100 shares at the strike price if assigned.
• Directional Bias: Bullish to Neutral (profits if the stock remains stable or rises).
• Maximum Gain: Strictly limited to the premium received.
• Maximum Loss: Substantial, reaching $\text{Strike Price} - \text{Premium Received}$ if the stock plunges to $0.00.

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3. Option Moneyness: In-the-Money, At-the-Money, and Out-of-the-Money

Moneyness describes the economic relationship between the current market price of the underlying common share ($S$) and the option's strike price ($K$). Moneyness determines whether immediate exercise of the contract would generate positive intrinsic cash value.

Practical Moneyness Scenario Table

Consider a TSX-listed stock currently trading at $50.00 per share. The table below evaluates the moneyness status of calls and puts across different available strike prices:

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4. Anatomy of Option Premium: Intrinsic Value vs. Time Value

The total market price of an option—the premium—is determined continuously by auction trading on the exchange. The premium reflects two distinct financial components:

$\text{Option Premium} = \text{Intrinsic Value} + \text{Time Value}$

Intrinsic Value Calculations

Intrinsic value represents the immediate cash payoff that would be realized if the option were exercised right now. Because an option holder will never voluntarily exercise an out-of-the-money contract, intrinsic value can never be negative:

$\text{Call Intrinsic Value} = \max(0, S - K)$ $\text{Put Intrinsic Value} = \max(0, K - S)$

If an option is at-the-money or out-of-the-money, its intrinsic value is $0.00.

Time Value (Extrinsic Value)

Time value is the portion of the premium that exceeds the intrinsic value:

$\text{Time Value} = \text{Option Premium} - \text{Intrinsic Value}$

Time value reflects the market's willingness to pay for the probability that favorable price movement will occur prior to expiration. Five fundamental variables govern time value and overall option pricing:

1. Time Remaining to Expiration: Options are "wasting assets." As expiration approaches, the probability of favorable price swings diminishes, causing time value to erode—a phenomenon known as time decay (measured by the Greek letter Theta). Time decay accelerates rapidly during the final 30 to 45 calendar days before expiry.
2. Volatility of the Underlying Asset: Volatility measures the magnitude of expected price fluctuations. Because an option holder possesses asymmetric upside with limited downside, higher expected price swings increase the probability of finishing deep in-the-money. Consequently, higher volatility increases the time value and total premium of both calls and puts (measured by Vega).
3. Risk-Free Interest Rates: Higher interest rates increase the carrying cost of holding underlying stock, making call options (a leveraged stock substitute) more attractive and put options less attractive. Thus, rising interest rates increase call premiums and decrease put premiums (Rho).
4. Cash Dividends: When a stock trades ex-dividend, its share price drops by the dividend amount. Anticipated dividends reduce the forward share price, thereby lowering call premiums and increasing put premiums.
5. Distance to the Strike Price: At-the-money options possess the greatest dollar amount of time value, as the eventual outcome at expiration is the most uncertain.

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5. Break-Even Calculations & Payoff Profiles

Understanding the exact financial outcome at expiration is critical for evaluating risk and reward. At expiration, all time value has completely decayed to zero (Time Value = $0), meaning the option's value equals its intrinsic value alone.

Long Call Payoff & Break-Even Analysis

A call buyer requires the underlying stock price to climb above the strike price by an amount equal to the premium paid to recoup their initial investment:

$\text{Call Break-Even Price} = \text{Strike Price} + \text{Premium Paid}$

Worked Numeric Walkthrough: Long Call

An investor buys 1 Enbridge (ENB) Oct 50 Call at a premium of $3.00 when ENB is trading at $50.00. The contract covers 100 shares, requiring a total cash outlay of $300.00.

$\text{Break-Even Price} = \$50.00 + \$3.00 = \$53.00$

Long Call Profit/Loss Profile:
    Profit ($)
        ^
        |                       /  (Unlimited Upside)
        |                      /
    $0 -+--------------------/------------> Stock Price
        |                   /  \
 -$3.00 +=========+========+    \
        |         |        |     Break-Even = $53.00
        +---------+--------+----------------->
                $0      Strike ($50)

Long Put Payoff & Break-Even Analysis

A put buyer profits when the stock drops below the strike price. To break even, the stock must decline below the strike price by the cost of the premium:

$\text{Put Break-Even Price} = \text{Strike Price} - \text{Premium Paid}$

Worked Numeric Walkthrough: Long Put

An investor buys 1 Nutrien (NTR) Jan 70 Put at a premium of $4.50 when NTR trades at $70.00. The total cash investment is $450.00.

$\text{Break-Even Price} = \$70.00 - \$4.50 = \$65.50$

$\text{Maximum Potential Gain} = (\$70.00 - \$4.50) \times 100 = \$6,550.00 \quad (\text{if NTR drops to } \$0.00)$

Long Put Profit/Loss Profile:
    Profit ($)
        ^
+$65.50 + \ (Max Gain at $0)
        |  \
        |   \
    $0 -+----+----------------------------> Stock Price
        |     \
 -$4.50 +======+==================+=======>
        |       \                 |
        |        Break-Even       Strike ($70)
        |        ($65.50)
        +--------------------------------->

Summary of Payoff Formulas for Standard Positions