How are DUOL long put max profit and max loss calculated?

Max profit equals the strike minus premium times 100 (reached at zero); max loss equals the premium times 100. Breakeven is strike minus premium. For the DUOL long put priced from the August 14, 2026 end-of-day chain at a 30-day expiry (ATM IV 56.17%), the computed maximum profit is $12,649.00 per contract and the computed maximum loss is -$850.00 per contract. Live intraday quotes will differ as the chain moves through the trading session.

What is the breakeven for a DUOL long put?

The breakeven for the DUOL long put priced on this page is roughly $126.50 at expiration, derived from the August 14, 2026 end-of-day chain's premiums. Breakeven is the underlying price at which the strategy's P&L crosses zero ignoring transaction costs and assignment risk. The DUOL market-implied 1-standard-deviation expected move in the same options snapshot is approximately 16.10%; if the move sits well outside the breakeven distance, the structure's risk-reward becomes correspondingly tighter.

How does current DUOL implied volatility affect this long put?

DUOL ATM IV is at 56.17% with IV rank near 6.35%, which is on the low end of its 1-year range. Premium-buying structures (long call, long put, debit spreads) are relatively cheap in this regime; premium-selling structures collect less credit per unit risk.

DUOL Long Put Strategy

DUOL (Duolingo, Inc.), in the Technology sector, (Software - Application industry), listed on NASDAQ.

Duolingo, Inc. builds and operates an online platform and a mobile application dedicated to language learning, catering to audiences in both the United States and China. The company's comprehensive curriculum spans 40 diverse languages, featuring prominent options such as Spanish, English, French, Japanese, German, Italian, Chinese, and Portuguese, among others. Furthermore, it offers a digital examination for assessing language proficiency. This enterprise was founded in 2011 and its main offices are located in Pittsburgh, Pennsylvania.

DUOL (Duolingo, Inc.) trades in the Technology sector, specifically Software - Application, with a market capitalization of approximately $6.27B, a trailing P/E of 15.30, a beta of 0.88 versus the broader market, a 52-week range of 87.89-371.63, average daily share volume of 1.6M, a public-listing history dating back to 2021, approximately 900 full-time employees. These structural characteristics shape how DUOL stock options price implied volatility around earnings windows, capital events, and macro-driven sector rotations.

A beta of 0.88 places DUOL roughly in line with broader market moves, so the strategy payoff and realized volatility track the index-equivalent baseline.

What is a long put on DUOL?

A long put buys downside exposure with a fixed maximum loss equal to the premium paid; profit accrues if the underlying closes below the strike minus premium at expiration.

DUOL snapshot

As of August 14, 2026, spot at $134.62, ATM IV 56.17%, IV rank 6.35%, expected move 16.10%. The long put on DUOL below is built from the August 14, 2026 end-of-day chain, with strikes snapped to listed contracts and premiums pulled from the bid/ask midpoint at a 28-day expiry.

Why this long put structure on DUOL specifically: DUOL IV at 56.17% is on the cheap side of its 1-year range, which favors premium-buying structures like a DUOL long put, with a market-implied 1-standard-deviation move of approximately 16.10% (roughly $21.68 on the underlying). The 28-day window matched to the front-month expiry keeps theta exposure bounded while still capturing the post-snapshot move; longer-dated DUOL expiries trade a higher absolute premium for lower per-day decay. Position sizing on DUOL should anchor to the underlying notional of $134.62 per share and to the trader's directional view on DUOL stock.

DUOL long put setup

The DUOL long put below is built from the August 14, 2026 end-of-day chain, with each option leg priced at the bid/ask midpoint of its listed strike. With DUOL at $134.62 on that close, the first option leg uses a $135.00 strike; additional legs (when the strategy has them) anchor to spot-relative offsets. Premiums come from the bid/ask midpoint on the listed DUOL chain at a 28-day expiry; the cross-strike IV skew is reflected directly in the per-leg values rather than approximated. Quantity sizing assumes one contract per option leg (or 100 DUOL shares for the stock leg in covered calls and collars).

Action	Type	Strike / Basis	Premium (est)
Buy 1	Put	$135.00	$8.50

DUOL long put risk and reward

Net Premium / Debit: -$850.00
Max Profit (per contract): $12,649.00
Max Loss (per contract): -$850.00
Breakeven(s): $126.50
Risk / Reward Ratio: 14.881

Max profit equals the strike minus premium times 100 (reached at zero); max loss equals the premium times 100. Breakeven is strike minus premium.

DUOL long put payoff curve

Modeled P&L at expiration across a range of underlying prices for the long put on DUOL. Each row is one sampled price point from the computed payoff curve; the full curve uses 200 price points internally before being summarized into 10 rows here.

P&L at expiration across the modeled underlying-price range. Green shading marks profitable regions, red shading marks loss regions. Dotted purple verticals mark breakevens; the solid dark vertical marks current spot.

Underlying Price	% From Spot	P&L at Expiration
$0.01	-100.0%	+$12,649.00
$29.77	-77.9%	+$9,672.59
$59.54	-55.8%	+$6,696.18
$89.30	-33.7%	+$3,719.76
$119.07	-11.6%	+$743.35
$148.83	+10.6%	-$850.00
$178.59	+32.7%	-$850.00
$208.36	+54.8%	-$850.00
$238.12	+76.9%	-$850.00
$267.89	+99.0%	-$850.00

When traders use long put on DUOL

Long puts on DUOL hedge an existing long DUOL stock position or express a bearish view with defined risk; position sizing typically scales the put notional to the underlying DUOL exposure being hedged.

DUOL thesis for this long put

The market-implied 1-standard-deviation range for DUOL extends from approximately $112.94 on the downside to $156.30 on the upside. A DUOL long put expresses a directional view that the underlying closes below the strike minus premium at expiration, frequently sized to hedge an existing long DUOL position with one put per 100 shares held. Current DUOL IV rank near 6.35% sits in the lower third of its 1-year distribution, where IV often re-expands toward the mean; this favors premium-buying structures and disadvantages premium-selling structures on DUOL at 56.17%. As a Technology name, DUOL options can move on sector-level news flow (peer earnings, regulatory updates, industry-specific macro data) in addition to DUOL-specific events.

DUOL long put positions are structurally bearish; the modeled P&L assumes European-style exercise at expiration and ignores early assignment, transaction costs, dividends paid before expiry on the stock leg (when present), and the bid-ask spread on the listed chain. DUOL positions also carry Technology sector concentration risk; news flow inside the sector (peer earnings, regulatory shifts, supply-chain headlines) can move DUOL alongside the broader basket even when DUOL-specific fundamentals are unchanged. Long-premium structures like a long put on DUOL are particularly exposed to IV-crush risk through scheduled events (earnings, FDA decisions, central-bank meetings) where IV typically contracts post-event regardless of the directional outcome. Always rebuild the position from current DUOL chain quotes before placing a trade.

Frequently asked questions

What is a long put on DUOL?: A long put on DUOL is the long put strategy applied to DUOL (stock). The strategy is structurally bearish: A long put buys downside exposure with a fixed maximum loss equal to the premium paid; profit accrues if the underlying closes below the strike minus premium at expiration. With DUOL stock at $134.62 on the August 14, 2026 close, the strikes shown on this page are snapped to the nearest listed DUOL chain strike and the premiums come straight from that session's bid/ask midpoint.
How are DUOL long put max profit and max loss calculated?: Max profit equals the strike minus premium times 100 (reached at zero); max loss equals the premium times 100. Breakeven is strike minus premium. For the DUOL long put priced from the August 14, 2026 end-of-day chain at a 30-day expiry (ATM IV 56.17%), the computed maximum profit is $12,649.00 per contract and the computed maximum loss is -$850.00 per contract. Live intraday quotes will differ as the chain moves through the trading session.
What is the breakeven for a DUOL long put?: The breakeven for the DUOL long put priced on this page is roughly $126.50 at expiration, derived from the August 14, 2026 end-of-day chain's premiums. Breakeven is the underlying price at which the strategy's P&L crosses zero ignoring transaction costs and assignment risk. The DUOL market-implied 1-standard-deviation expected move in the same options snapshot is approximately 16.10%; if the move sits well outside the breakeven distance, the structure's risk-reward becomes correspondingly tighter.
When should you consider a long put on DUOL?: Long puts on DUOL hedge an existing long DUOL stock position or express a bearish view with defined risk; position sizing typically scales the put notional to the underlying DUOL exposure being hedged.
How does current DUOL implied volatility affect this long put?: DUOL ATM IV is at 56.17% with IV rank near 6.35%, which is on the low end of its 1-year range. Premium-buying structures (long call, long put, debit spreads) are relatively cheap in this regime; premium-selling structures collect less credit per unit risk.