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Textbook
Introduction
1. Strategies
1.1 Fundamentals
1.2 Contracts & the market
1.3 Basic strategies
1.3.1 Long calls
1.3.2 Short calls
1.3.3 Long puts
1.3.4 Short puts
1.3.5 Hedging strategies
1.3.6 Income strategies
1.3.7 Synthetic options
1.3.8 Ratio writing
1.3.9 Rolling contracts
1.4 Advanced strategies
1.5 Non-equity options
1.6 Suitability
2. Customer accounts
3. Rules & regulations
Wrapping up
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1.3.3 Long puts
Achievable Series 9
1. Strategies
1.3. Basic strategies

Long puts

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This chapter covers the fundamentals of long put options contracts. To get comfortable with the language used when discussing options, watch this video:

When an investor goes long a put, they’re bearish on the underlying security’s market price. Buying a put gives the holder the right to sell the stock at the strike price.

  • If the stock’s market price falls below the put’s strike price, the put has intrinsic value and the holder can potentially profit (the put is in the money).
  • If the market price rises above the strike price, exercising wouldn’t make sense. The holder won’t exercise and will lose the premium paid (the put is out of the money).
Definitions
Bullish
Expectation of rising values
Bearish
Expectation of falling values

Let’s work through a few examples to understand long puts better:

Long 1 ABC Sep 75 put @ $6

This contract gives the right to sell ABC stock at $75 per share. The option costs $600 ($6 × 100 shares) and expires on the third Friday in September.

The investor is betting ABC’s market price will fall below $75 before expiration. If it doesn’t, the option expires and the investor loses the $600 premium.


Math-based options questions should be expected on the exam. They typically ask about potential gains, losses, and breakeven values. Let’s go through each.


The maximum gain for a long put happens if the stock’s market price falls to zero. Here’s what that looks like:

An investor goes long 1 ABC Sep 75 put @ $6. The market price falls to $0. What is the gain or loss?

Can you figure it out?

(spoiler)

Answer = $6,900 gain

Action Result
Buy put -$600
Buy shares -$0
Exercise - sell shares +$7,500
Total +$6,900

At $0, the option is $75 in the money. Stock going to zero is uncommon, but it can happen.

To realize the maximum gain, the investor:

  • Buys 100 ABC shares in the market for $0 (the stock is worthless).
  • Exercises the put and sells those 100 shares for $75 per share.

That exercise creates a $7,500 gain ($75 × 100). After subtracting the $600 premium paid, the net gain is $6,900.

A long put’s maximum gain can be calculated with this formula:

Long put maximum gain=strike price−premium

The strike price of $75 minus the premium of $6 gives a maximum gain of $69 per share (or $6,900 overall).


Now let’s look at an example that’s more likely to occur:

An investor goes long 1 ABC Sep 75 put @ $6. The market price falls to $60. What is the gain or loss?

(spoiler)

Answer = $900 gain

Action Result
Buy put -$600
Buy shares -$6,000
Exercise - sell shares +$7,500
Total +$900

At $60, the option is $15 in the money ($75 − $60).

To use the put, the investor:

  • Buys 100 shares at $60 in the market ($6,000).
  • Exercises the put and sells at $75 ($7,500).

That creates a $1,500 gain from exercise ($15 × 100). After subtracting the $600 premium, the net gain is $900.


Put holders don’t always make a profit. Even if ABC’s market price falls below $75, the holder must recover the premium to have an overall gain.

Let’s look at another example:

An investor goes long 1 ABC Sep 75 put @ $6. The market price falls to $69. What is the gain or loss?

(spoiler)

Answer = $0 (breakeven)

Action Result
Buy put -$600
Buy shares -$6,900
Exercise - sell shares +$7,500
Total $0

At $69, the option is $6 in the money ($75 − $69). The investor buys 100 shares at $69, then exercises the put and sells at $75.

  • Gain from exercise: $600 ($6 × 100)
  • Premium paid: $600

The intrinsic value exactly offsets the premium, so the result is $0 (breakeven).

When investing in puts, the breakeven can be found using this formula:

Long put breakeven=strike price−premium

With a strike price of $75 and a premium of $6, the investor breaks even when ABC stock is at $69 per share.


The investor can still have a loss if ABC’s market price doesn’t fall far enough below $75. For example:

An investor goes long 1 ABC Sep 75 put @ $6. The market price falls to $74. What is the gain or loss?

(spoiler)

Answer = $500 loss

Action Result
Buy put -$600
Buy shares -$7,400
Exercise - sell shares +$7,500
Total -$500

At $74, the option is $1 in the money ($75 − $74). The investor buys 100 shares at $74, then exercises the put and sells at $75.

  • Gain from exercise: $100 ($1 × 100)
  • Premium paid: $600

After subtracting the premium, the net result is a $500 loss.


Expiration is the worst-case scenario for investors holding long options. If the option expires worthless, the premium is lost. The same applies to long put contracts.

An investor goes long 1 ABC Sep 75 put @ $6. The market price rises to $84. What is the gain or loss?

(spoiler)

Answer = $600 loss

Action Result
Buy put -$600
Total -$600

At $84, the option is $9 out of the money ($84 − $75) and has no intrinsic value. When the market price is above $75, exercising doesn’t make sense: selling at $75 is worse than selling at the market price of $84.

So the investor lets the contract expire and loses the $600 premium (the maximum possible loss).

Long options can only lose the amount paid in premium. If exercising would create a loss, the investor will let the option expire.

Long put maximum loss=premium


Investors can also perform closing transactions to close their options before expiration.

An investor goes long 1 ABC Sep 75 put @ $6. After ABC’s market price rises to $79, the premium falls to $2, and the investor performs a closing sale. What is the gain or loss?

(spoiler)

Answer = $400 loss

Action Result
Buy put -$600
Close put +$200
Total -$400

The market price increased, causing the option premium to fall. Premiums aren’t fixed - they fluctuate based on market conditions.

  • The investor bought the put for $6 ($600).
  • Later, the investor sold (closed) the put for $2 ($200).

That’s a $4 per share loss, or $400 total ($4 × 100). For closing transactions, compare the premium paid to the premium received.

Here’s a visual summarizing the important aspects of long puts:

Options chart

Key points

Long puts

  • Bearish investments
  • Right to sell stock at the strike price

Long put formulas

  • Maximum gain = strike - premium
  • Maximum loss = premium
  • Breakeven = strike - premium

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