Short Put Payoff & Breakeven
🔑 Position summary — Short put
| Item | Formula / Rule | Page’s worked dollar example (Short 1 ABC Sep 75 put @ $6) |
|---|---|---|
| Market sentiment | Bullish — expectation of rising values | Writer bets ABC stays at or above $75 through expiration |
| Right or obligation | Obligation to BUY the stock at the strike price if assigned | Obligated to buy ABC at $75 per share if assigned |
| Maximum gain | Premium | $600 premium received (option expires at $84) |
| Maximum loss | 🔑 Strike price − premium | $75 − $6 = $69 per share → at a market price of $0: $6,900 loss |
| Breakeven | 🔑 Strike price − premium | $75 − $6 = $69 |
BREAKEVEN TRAP: The page states the formula exactly as Short put breakeven = strike price − premium. Puts SUBTRACT the premium from the strike (calls add). The page notes this is the same breakeven formula used for long puts — since the long and short sides are opposites, they reach breakeven at the same stock price.
⚠️ Same formula, two different uses (the page calls this out explicitly): the breakeven formula is also the same as a short put’s maximum loss formula. The difference is how you use it:
| Use | Nature | Multiply by 100? |
|---|---|---|
| Maximum loss | A dollar amount per share | Yes — multiply by 100 to get the per-contract amount ($6,900) |
| Breakeven | A stock price | No — do not multiply ($69) |
COVERED vs. NAKED (UNCOVERED) — the page makes this distinction explicitly:
| Position | Definition per the page | Maximum loss |
|---|---|---|
| Naked (uncovered) short put | Sold without a hedge (protection) — the same idea taught in the short call chapter | Strike price − premium (worst case: the investor buys worthless shares at the strike price) |
| Covered short put | Covered by short shares, a long put, or cash equal to the maximum loss | The cover removes or funds the exposure (see the table of covers below) |
Contrast with the short call: an uncovered/naked short CALL has UNLIMITED maximum loss, because a stock price has no ceiling. A short PUT’s loss is capped at strike − premium because a stock can only fall to $0. The page states directly: cash can’t cover a short call because a short call has unlimited risk.
Investments that would cover a short put
| Cover | Why it covers (page’s explanation) |
|---|---|
| Short shares | The sale already occurred. When the put is assigned, the investor effectively buys back the shares at the strike price, closing the short position. The investor doesn’t have to worry about selling the shares later at a lower price because the sale happened when the stock was sold short. |
| Long put | The investor keeps the right to sell the shares purchased at assignment at the long put’s strike price. Even if the market price drops sharply, they can exercise the long put and sell at that higher strike price. |
| Cash (equal to the maximum loss) | Cash doesn’t prevent losses, but holding cash equal to the maximum loss technically “covers” the put — the investor has enough money set aside to meet the obligation if assigned. |
The risk of a short put comes from being forced to buy shares at the strike price and then potentially having to sell them at a lower market price (or not being able to sell them at all if they’re worthless).
Overview
This chapter covers the fundamentals of short put options contracts. To get comfortable with the language used when discussing options, the page directs the reader to watch a video.
- When an investor goes short a put, they are bullish on the underlying security’s market price.
- Selling a put creates an obligation: if the option is assigned (exercised), the investor must buy the stock at the strike price.
| Market price vs. strike | Status | What happens |
|---|---|---|
| Market price falls below the strike price (⚠️ think “put down”) | In the money | The holder may exercise, and the writer must buy at the strike price |
| Market price rises above the strike price | Out of the money | The holder won’t exercise, and the writer keeps the premium as profit |
Definitions
| Term | Definition |
|---|---|
| Bullish | Expectation of rising values |
| Bearish | Expectation of falling values |
The contract being analyzed
Short 1 ABC Sep 75 put @ $6
This contract obligates the writer to buy ABC stock at $75 per share if assigned. The writer received $600 for selling the option ($6 premium x 100 shares). The option expires on the third Friday in September.
The investor is betting ABC stock’s market price stays at or above $75 through expiration. If the market price falls below $75, the holder may exercise the option, which can create losses for the writer.
Math-based options questions should be expected on the exam. Typically, they ask about potential gains, losses, and breakeven values.
Worked example 1 — market price falls to $0 (maximum loss)
An investor goes short 1 ABC Sep 75 put @ $6. The market price falls to $0. What is the gain or loss?
Answer = $6,900 loss
Action Result Sell put +$600 Assigned - bought shares -$7,500 Share value +$0 Total -$6,900 At $0, the option is $75 in the money. This is the worst-case scenario for a put writer.
We can assume the investor is assigned, which requires buying 100 ABC shares at $75. Those shares are now worth $0, so the investor loses $75 per share. That’s a $7,500 loss from assignment ($75 x 100). The $600 premium received up front offsets part of that loss, bringing the overall loss to $6,900.
🔑 The maximum loss for a short put can be found using this formula:
Short put maximum loss = strike price − premium
The strike price of $75 minus the premium of $6 gives a maximum loss of $69 per share (or $6,900 overall).
Naked vs. covered short puts
In the short call chapter, we learned an option is “naked” when it’s sold without a hedge (protection). The same idea applies to a short put.
A short put is risky because assignment can force the investor to buy shares at the higher strike price when the market value is lower. In the worst case, the investor buys worthless shares at the strike price.
Investments that would cover a short put:
| Covers a short put |
|---|
| Short shares |
| Long put |
| Cash (equal to the maximum loss) |
- Short shares: If the investor is short the shares, the sale already occurred. When the put is assigned, the investor effectively buys back the shares at the strike price, closing the short position. The investor doesn’t have to worry about selling the shares later at a lower price because the sale happened when the stock was sold short.
- Long put: If the investor owns a put (in addition to the short put), they keep the right to sell the shares purchased at assignment at the long put’s strike price. Even if the market price drops sharply, they can exercise the long put and sell at that higher strike price.
- Cash: While cash doesn’t prevent losses, holding cash equal to the maximum loss technically “covers” the put. The investor has enough money set aside to meet the obligation if assigned.
Remember: cash can’t cover a short call because a short call has unlimited risk.
Worked example 2 — market price falls to $60
An investor goes short 1 ABC Sep 75 put @ $6. The market price falls to $60. What is the gain or loss?
Answer = $900 loss
Action Result Sell put +$600 Assigned - bought shares -$7,500 Share value +$6,000 Total -$900 The market price fell to $60, so the option is $15 in the money. That’s bad for the writer.
After assignment, the writer must buy 100 ABC shares for $75. Those shares are only worth $60, creating a $1,500 loss from assignment ($15 x 100). The $600 premium received up front reduces the overall loss to $900.
Worked example 3 — market price falls to $69 (breakeven)
Investors who sell puts don’t always lose money. ⚠️ Even if ABC’s market price falls below $75, the writer won’t have an overall loss unless the drop is more than the premium received.
An investor goes short 1 ABC Sep 75 put @ $6. The market price falls to $69. What is the gain or loss?
Answer = $0 (breakeven)
Action Result Sell put +$600 Assigned - bought shares -$7,500 Share value +$6,900 Total $0 At $69, the option is $6 in the money. Assignment forces the investor to buy ABC at $75 when it’s worth $69, which is a $600 loss ($6 x 100). The $600 premium offsets that loss, so the investor breaks even.
🔑 When investing in puts, the breakeven can be found using this formula:
Short put breakeven = strike price − premium
This is the same breakeven formula used for long puts. Since the long and short sides are opposites, they reach breakeven at the same stock price.
With a strike price of $75 and a premium of $6, breakeven is $69 per share. At that market price, there’s no profit or loss.
⚠️ The breakeven formula is also the same as a short put’s maximum loss formula. The difference is how you use it:
| Concept | What it is | Multiply by 100? |
|---|---|---|
| Maximum loss | A dollar amount per share | Yes — multiply by 100 to get the per-contract amount |
| Breakeven | A stock price | No |
Worked example 4 — market price falls to $74 (in the money, still a gain)
If ABC’s market price doesn’t fall too far below $75, the investor can still make a profit.
An investor goes short 1 ABC Sep 75 put @ $6. The market price falls to $74. What is the gain or loss?
Answer = $500 gain
Action Result Sell put +$600 Assigned - bought shares -$7,500 Share value +$7,400 Total +$500 At $74, the option is $1 in the money. Assignment creates a $1 per share loss because the investor buys 100 ABC shares at $75 that are only worth $74. That’s a $100 loss ($1 x 100). After including the $600 premium received, the investor has an overall gain of $500.
Worked example 5 — market price rises to $84 (expiration)
Expiration is the best-case scenario for investors writing (going short) options. If the option expires worthless, the investor keeps the premium and never has to fulfill the obligation. The same applies to short put contracts.
An investor goes short 1 ABC Sep 75 put @ $6. The market price rises to $84. What is the gain or loss?
Answer = $600 gain
Action Result Sell 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, the holder won’t exercise. Exercising would mean selling stock for $75 when it can be sold in the market for $84.
An easy way to check whether a put is likely to be assigned is the phrase “put down.” Puts are exercised when the underlying security’s market price is below the strike price. That isn’t true here, so the option expires.
Maximum gain
Investors with short options can only make the premium, nothing more. If exercise occurs, losses start reducing the premium and can push the position into an overall loss.
Short put maximum gain = premium
Worked example 6 — closing transaction
Writers can also perform closing transactions to exit their obligations before expiration.
An investor goes short 1 ABC Sep 75 put @ $6. After ABC’s market price rises to $79, the premium falls to $2, and the investor does a closing purchase. What is the gain or loss?
Answer = $400 gain
Action Result Sell put +$600 Close put -$200 Total +$400 To find the profit or loss on a closing transaction, compare:
- the premium received when the option was sold, and
- the premium paid to buy it back.
Here, the investor sold the put for $6 and bought it back for $2, for a $4 net gain per share. Since each contract covers 100 shares, the overall gain is $400.
Visual summary
The page presents “a visual summarizing the important aspects of short puts,” followed by a second visual putting all four versions of options together — long calls, short calls, long puts, and short puts.
Key points
Short puts
- Bullish investments
- Obligation to buy the stock at the strike price
- Considered “naked” without a hedge
Short puts can be covered by:
- Short shares
- Long put
- Cash
Short put formulas
- Maximum gain = premium
- Maximum loss = strike - premium
- Breakeven = strike - premium
Sources
Primary/official references for the material in this chapter. Every link was fetched and returned HTTP 200 on 2026-08-15.
| # | Source | Publisher |
|---|---|---|
| 1 | Naked (short) put — obligation to buy, loss to strike minus premium | OCC / Options Industry Council |
| 2 | Premium = intrinsic + time value; pricing inputs | OCC / Options Industry Council |
| 3 | Listed options contract specs and index options | Cboe |
| 4 | Achievable Series 65 — chapter 1.4.1.9 | Achievable (course text) |