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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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1.4.1.7 Long puts
Achievable Series 66
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 put may be profitable because it can be exercised to sell at a higher price (the put is “in the money”).
  • If the market price rises above the strike price, 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 occurs if the 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). Then they exercise the put and sell those 100 shares for $75 per share.

  • Exercise profit = $75 × 100 = $7,500
  • Net gain after premium = $7,500 − $600 = $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 ABC shares at $60 in the market, then exercises the put and sells those shares at $75.

  • Exercise profit = ($75 − $60) × 100 = $1,500
  • Net gain after premium = $1,500 − $600 = $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 ABC shares at $69, then exercises the put and sells at $75.

  • Exercise profit = ($75 − $69) × 100 = $600
  • Net result after premium = $600 − $600 = $0 (breakeven)

At this price, the put has intrinsic value, but not enough to produce an overall profit after the premium.

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 at $75.

  • Exercise profit = ($75 − $74) × 100 = $100
  • Net result after premium = $100 − $600 = −$500

Even though the put has intrinsic value, it isn’t enough to offset the premium.


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: the investor would be selling for $75 when the market is paying $84. So the investor lets the contract expire and loses the premium (the maximum potential loss).

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 premium was $6 when the put was purchased, and later it fell to $2, which is the price received when the investor liquidated the option (closing sale).

The investor bought the put at $6 and sold it at $2, for a $4 per share loss. Since option premiums represent 100 shares, the overall loss is $400. 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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