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Introduction
1. Investment vehicle characteristics
2. Recommendations & strategies
3. Economic factors & business information
4. Laws & regulations
Wrapping up
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1.4.1.8 Long puts
Achievable Series 65
1. Investment vehicle characteristics
1.4. Derivatives
1.4.1. 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 holder can potentially profit. The put is in the money (think “put down”).
  • If the market price rises above the strike price, the holder won’t exercise the option and will realize a loss equal 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:

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 that 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 maximum gain, the investor:

  • Buys 100 ABC shares in the market for $0 (the shares are worthless)
  • Exercises the put and sells those 100 shares for $75 each

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).


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. 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 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. The investor buys 100 ABC shares at $69, then exercises the put and sells them at $75.

  • Exercise gain: $600 ($6 × 100)
  • Premium paid: $600

The $600 gain from exercising exactly offsets the $600 premium, so 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, then exercises the put and sells them at $75.

  • Exercise gain: $100 ($1 × 100)
  • Premium paid: $600

The $100 gain doesn’t offset the $600 premium, so the net result is a $500 loss.


Expiration is the worst-case scenario for investors holding long options. In that case, the investor pays a premium for an option that is never used. 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 makes no sense - selling for $75 is worse than selling in the market for $84.

So the investor lets the contract expire and loses the premium paid. This is the maximum possible loss for a long put.

Long options can only lose the amount spent on the 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 like stock prices.

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

That’s a $4 per share loss, or $400 overall ($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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