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Textbook
Introduction
1. Common stock
1.1 Characteristics
1.2 Fundamental analysis
1.3 Suitability
1.4 Options
1.4.1 Fundamentals
1.4.2 Transactions
1.4.3 Contracts
1.4.4 Premiums & exercise
1.4.5 Long calls
1.4.6 Short calls
1.4.7 Long puts
1.4.8 Short puts
1.4.9 Index options
2. Preferred stock
3. Debt securities
4. Corporate debt
5. Municipal debt
6. US government debt
7. Investment companies
8. Insurance products
9. The primary market
10. The secondary market
11. Brokerage accounts
12. Retirement & education plans
13. Rules & ethics
14. Suitability
Wrapping up
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1.4.7 Long puts
Achievable Series 6
1. Common stock
1.4. Options

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 lets the option expire and the loss is limited to 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 more clearly:

Long 1 ABC Sep 75 put @ $6

This contract gives the right to sell 100 shares of ABC 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 worthless 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 occurs 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 gain, the investor:

  • Buys 100 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 upfront, 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.

To use the put, the investor:

  • Buys 100 shares at $60 in the market.
  • Exercises the put and sells those shares at $75.

That locks in a $1,500 gain ($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 investor still has to earn back 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.

The investor:

  • Buys 100 shares at $69.
  • Exercises the put and sells at $75.

That creates a $600 gain ($6 × 100), which exactly offsets the $600 premium. The result is 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. At this market value, there is no profit or loss.


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.

The investor:

  • Buys 100 shares at $74.
  • Exercises the put and sells at $75.

That creates a $100 gain ($1 × 100), but the $600 premium is larger than the exercise gain. Net result: a $500 loss.


Expiration is the worst-case scenario for investors holding long options. If the option expires worthless, the investor paid a premium for a contract they never use. 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 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 premium, which is also the maximum possible loss.

Long options can only lose the amount spent on the premium. If exercising would result in 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. Remember, premiums aren’t fixed - they fluctuate like stock prices.

  • The investor bought the put at a $6 premium.
  • Later, the investor sold (closed) the put at a $2 premium.

That’s a $4 per share loss. Since one option contract represents 100 shares, the total loss is $400.

To find profit or loss on a closing transaction, 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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