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Advanced Options · ADV-03a · Advanced

Long strangle

How does long strangle express a large movement beyond an initial interval view?

One concept per page · original written lesson · 556 prose words · authored, not installed or production-approved

What you will learn and prerequisites

Read first: Read a contract and its premium, Rights, obligations and expiration, Defined payoff risk is not margin, Read the whole multi-leg ticket

A long strangle buys downside and upside rights at different strikes. It can cost less than a comparable straddle because neither wing starts at the center. The saving comes with a wider region where both options can expire worthless.

Construction: read every leg

Buy the 95 put and 105 call for 2.00 each. Debit is 400. Between 95 and 105 terminal P/L is flat at −400. Breakevens are 91 and 109. The flat center is the key geometric difference from a same-strike straddle.

Read the ticket before the graph

BUY means you own an option right; SELL means you accept a short-option obligation. Positive quantities are long and negative quantities are short in the calculation. Check quantity, call/put, strike, multiplier and expiry before netting premium.

All legs in this example share November 20, 2026 expiration. The entry observation is October 6, 2026, with fictional QLT at 100. These are independent illustrative premiums, not a current option chain or executable quotes. The terminal diagram assumes every leg and any shares are resolved at one common settlement price.

Before expiry: time and volatility

The position generally owns Gamma and Vega, but small center moves may create little Delta. Each wing's sensitivity changes as it becomes relevant. A favorable spot move can still be outweighed by IV contraction and time.

Manage the position deliberately

Choose wing distance from the expected magnitude and timing, not affordability alone. After a catalyst, reassess what uncertainty remains. Closing the winning wing and holding the other is a separate decision, not automatically good management.

Fictional teaching ticket · no order submission

Long strangle

QLT • reference spot $100 • independent illustrative prices • quote date 2026-10-06

Read action, quantity, type, strike, expiry, premium and multiplier before the payoff
ActionQtyTypeStrikeExpiryPremium/unitMultiplier
BUY1Put952026-11-202100
BUY1Call1052026-11-202100
Opening option cash (+received / −paid)-400 USD
Entry option fees in cost variant1.3 USD
Shares included0
Joint-terminal results—not a guarantee of interim cash requirements
MeasureBefore costsAfter stated entry fees
Maximum terminal profitUnbounded in this terminal modelUnbounded in this terminal model
Maximum terminal loss magnitude400401.3
Breakeven settlement price(s)91, 10990.987, 109.013

This is a mathematical expiry experiment using the displayed legs, not an executable quote. The slider range is not a risk limit.

$0.65 per option contract on entry only. No exit, assignment, financing or tax costs modeled.

Independent fictional premiums, not one simultaneous arbitrage-consistent chain. All legs realized simultaneously at intrinsic at the same expiry; terminal calculations do not model American early exercise, temporary unhedged positions, forced liquidation or live liquidity. Displayed chart domain is not a tail-risk cap.

From opening cash to a settlement result

Read the opening instructions: buy 1 95 put at 2.00; buy 1 105 call at 2.00. Option opening cash is $400.00 paid as a debit. A received credit is not earned profit while the obligation remains open.

Set the common settlement price to 110.00. Calls have intrinsic value max(S−K,0); puts have max(K−S,0). Subtract the opening premium from each intrinsic value, then multiply by signed quantity and the 100-unit multiplier. Shares contribute their price change from their own cost. The calculation popup shows every leg.

The combined result is $100.00 before costs and $98.70 after illustrative opening fees of $1.30. Exit fees, slippage, funding, dividends and taxes are not included. Opening fees are 0.65 per option contract, not a statement of any broker's pricing.

Maximum terminal profit is unbounded in this model; maximum terminal loss magnitude is $400.00, before costs. Isolated zero-P/L settlement points in the model: 91, 109. Move the scenario slider across each strike and explain why the slope changes there. A strike is a contract threshold, not a prediction.

This terminal model is useful for comparing risk shapes, but actual American-style assignment, share delivery, forced liquidation or a failed multi-leg exit can produce a different path. A long protective leg is not an automatic instruction that a broker must exercise it when another leg is assigned.

Open the calculation without leaving this lesson

Calculate this exact ticket

Same-page calculation. Closing restores the lesson position and originating control.

P/L = Σ[q × multiplier × (intrinsic − opening premium)] + shares × (S−share entry) − costs

Intrinsic is nonnegative before the signed quantity is applied. This is a fictional terminal calculation.

  1. +1 × 100 × (0.00 − 2.00) = $-200.00: 95 put.
  2. +1 × 100 × (5.00 − 2.00) = $300.00: 105 call.
  3. Opening fees: 1.30.
Before costs $100.00; after entry fees only $98.70.

Maximum risk and breakevens

Same-page calculation. Closing restores the lesson position and originating control.

Evaluate S=0, all strikes and the final tail slope; solve P/L=0 on each linear segment.

Same-expiry payoffs are piecewise linear. A finite chart range cannot prove a tail is bounded.

  1. Maximum terminal profit is unbounded in this model; maximum terminal loss magnitude is $400.00, before costs.
  2. Breakeven points: 91, 109.
  3. Costs shift net P/L downward without moving the strikes.
Maximum terminal profit is unbounded in this model; maximum terminal loss magnitude is $400.00, before costs.

The whole ticket at common expiry

Vertical: P/L per complete ticket (USD)
Horizontal: Underlying settlement price (USD)

The whole ticket at common expirySolid combined curve is before fees; the second includes only the stated entry fees. Individual-leg lines explain construction. This is terminal intrinsic P/L, not current option value. Price can move outside the displayed range. The complete numerical data are available below.-536.417-182.11172.197526.503880.811,235.12808896104112120
1. Combined terminal P/L before fees2. Combined terminal P/L after entry fees
Solid combined curve is before fees; the second includes only the stated entry fees. Individual-leg lines explain construction. This is terminal intrinsic P/L, not current option value. Price can move outside the displayed range.
See the individual legs behind the combined curveThe whole ticket at common expirySolid combined curve is before fees; the second includes only the stated entry fees. Individual-leg lines explain construction. This is terminal intrinsic P/L, not current option value. Price can move outside the displayed range. The complete numerical data are available below.-554.417-152.91248.597650.1031,051.611,453.12808896104112120
1. Combined terminal P/L before fees2. Combined terminal P/L after entry fees3. Leg 1: BUY 1 95 put4. Leg 2: BUY 1 105 call
Read the graph as a data table
Complete graph data; original fictional observations or model calculations
Underlying settlement price (USD)Combined terminal P/L before feesCombined terminal P/L after entry feesLeg 1: BUY 1 95 putLeg 2: BUY 1 105 call
801,1001,098.71,300-200
80.51,0501,048.71,250-200
811,000998.71,200-200
81.5950948.71,150-200
82900898.71,100-200
82.5850848.71,050-200
83800798.71,000-200
83.5750748.7950-200
84700698.7900-200
84.5650648.7850-200
85600598.7800-200
85.5550548.7750-200
86500498.7700-200
86.5450448.7650-200
87400398.7600-200
87.5350348.7550-200
88300298.7500-200
88.5250248.7450-200
89200198.7400-200
89.5150148.7350-200
9010098.7300-200
90.55048.7250-200
910-1.3200-200
91.5-50-51.3150-200
92-100-101.3100-200
92.5-150-151.350-200
93-200-201.30-200
93.5-250-251.3-50-200
94-300-301.3-100-200
94.5-350-351.3-150-200
95-400-401.3-200-200
95.5-400-401.3-200-200
96-400-401.3-200-200
96.5-400-401.3-200-200
97-400-401.3-200-200
97.5-400-401.3-200-200
98-400-401.3-200-200
98.5-400-401.3-200-200
99-400-401.3-200-200
99.5-400-401.3-200-200
100-400-401.3-200-200
100.5-400-401.3-200-200
101-400-401.3-200-200
101.5-400-401.3-200-200
102-400-401.3-200-200
102.5-400-401.3-200-200
103-400-401.3-200-200
103.5-400-401.3-200-200
104-400-401.3-200-200
104.5-400-401.3-200-200
105-400-401.3-200-200
105.5-350-351.3-200-150
106-300-301.3-200-100
106.5-250-251.3-200-50
107-200-201.3-2000
107.5-150-151.3-20050
108-100-101.3-200100
108.5-50-51.3-200150
1090-1.3-200200
109.55048.7-200250
11010098.7-200300
110.5150148.7-200350
111200198.7-200400
111.5250248.7-200450
112300298.7-200500
112.5350348.7-200550
113400398.7-200600
113.5450448.7-200650
114500498.7-200700
114.5550548.7-200750
115600598.7-200800
115.5650648.7-200850
116700698.7-200900
116.5750748.7-200950
117800798.7-2001,000
117.5850848.7-2001,050
118900898.7-2001,100
118.5950948.7-2001,150
1191,000998.7-2001,200
119.51,0501,048.7-2001,250
1201,1001,098.7-2001,300

The failure case

Settlement at 108 yields 300 intrinsic and loses 100 before costs. Farther wings can make a ticket cheap while making its required move implausible.

Check your understanding

Try the question before revealing its answer. These are reading checks, not trading certification or a site completion record.

What is whole-position terminal P/L at QLT 110.00, before costs?

Reveal the worked answer

$100.00

Use all signed legs, not just the winning leg. The popup and graph use the same ticket.

Critical risk question

Does a terminal loss bound guarantee every early-assignment or liquidation outcome?

Reveal the worked answer

No.

It describes the specified common-settlement payoff. Product rules, stock delivery, capital and execution still matter.

Takeaway

Explain the intended large movement beyond an initial interval exposure, each leg's obligation and the adverse price region before using the strategy name.

Sources, assumptions and downloadable script

External references support definitions and conventions. Worked scenarios and prose are original. No current quotes or dealer inventory are claimed.

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