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Advanced Options · ADV-11a · Advanced

Call ratio spread

How does call ratio spread express a a limited rise with uncovered upside risk view?

One concept per page · original written lesson · 555 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 call ratio buys fewer calls than it sells. One long 100 call can offset only one of the two 105 shorts in the far-upside region. The other short remains an uncovered obligation.

Construction: read every leg

Opening credit is 20. At 105 the position earns 520. Above 105 the two shorts lose intrinsic twice as fast as the single long gains it, so net slope becomes −100 dollars per stock dollar. Upper breakeven is 110.20 and loss is unbounded beyond it.

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 two short calls can dominate Gamma and Vega near their strike. Far above all strikes, the ticket behaves like approximately minus 100 shares. A position described as bullish near entry can become short on a large rise.

Manage the position deliberately

Identify uncovered quantity before entry and compare a butterfly with an added upper wing. A roll must be evaluated as a new position. The narrow attractive region does not justify ignoring a remote unlimited tail.

Fictional teaching ticket · no order submission

Call ratio spread

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
BUY1Call1002026-11-204.2100
SELL2Call1052026-11-202.2100
Opening option cash (+received / −paid)20 USD
Entry option fees in cost variant1.95 USD
Shares included0
Joint-terminal results—not a guarantee of interim cash requirements
MeasureBefore costsAfter stated entry fees
Maximum terminal profit520518.05
Maximum terminal loss magnitudeUnbounded in this terminal modelUnbounded in this terminal model
Breakeven settlement price(s)110.2110.18

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 1 100 call at 4.20; sell 2 105 call at 2.20. Option opening cash is $20.00 received as a credit. A received credit is not earned profit while the obligation remains open.

Set the common settlement price to 120.00. 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 $-980.00 before costs and $-981.95 after illustrative opening fees of $1.95. 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 $520.00; maximum terminal loss magnitude is unbounded in this model, before costs. Isolated zero-P/L settlement points in the model: 110.2. 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 × (20.00 − 4.20) = $1,580.00: 100 call.
  2. -2 × 100 × (15.00 − 2.20) = $-2,560.00: 105 call.
  3. Opening fees: 1.95.
Before costs $-980.00; after entry fees only $-981.95.

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 $520.00; maximum terminal loss magnitude is unbounded in this model, before costs.
  2. Breakeven points: 110.2.
  3. Costs shift net P/L downward without moving the strikes.
Maximum terminal profit is $520.00; maximum terminal loss magnitude is unbounded in this model, 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.-1,117.13-762.665-408.205-53.7449300.715655.176859299106113120
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.-2,932.6-1,955.56-978.52-1.48975.561,952.6859299106113120
1. Combined terminal P/L before fees2. Combined terminal P/L after entry fees3. Leg 1: BUY 1 100 call4. Leg 2: SELL 2 105 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 1 100 callLeg 2: SELL 2 105 call
852018.05-420440
85.43752018.05-420440
85.8752018.05-420440
86.31252018.05-420440
86.752018.05-420440
87.18752018.05-420440
87.6252018.05-420440
88.06252018.05-420440
88.52018.05-420440
88.93752018.05-420440
89.3752018.05-420440
89.81252018.05-420440
90.252018.05-420440
90.68752018.05-420440
91.1252018.05-420440
91.56252018.05-420440
922018.05-420440
92.43752018.05-420440
92.8752018.05-420440
93.31252018.05-420440
93.752018.05-420440
94.18752018.05-420440
94.6252018.05-420440
95.06252018.05-420440
95.52018.05-420440
95.93752018.05-420440
96.3752018.05-420440
96.81252018.05-420440
97.252018.05-420440
97.68752018.05-420440
98.1252018.05-420440
98.56252018.05-420440
992018.05-420440
99.43752018.05-420440
99.8752018.05-420440
1002018.05-420440
100.31251.2549.3-388.75440
100.759593.05-345440
101.188138.75136.8-301.25440
101.625182.5180.55-257.5440
102.062226.25224.3-213.75440
102.5270268.05-170440
102.938313.75311.8-126.25440
103.375357.5355.55-82.5440
103.812401.25399.3-38.75440
104.25445443.055440
104.688488.75486.848.75440
105520518.0580440
105.125507.5505.5592.5415
105.562463.75461.8136.25327.5
106420418.05180240
106.438376.25374.3223.75152.5
106.875332.5330.55267.565
107.312288.75286.8311.25-22.5
107.75245243.05355-110
108.188201.25199.3398.75-197.5
108.625157.5155.55442.5-285
109.062113.75111.8486.25-372.5
109.57068.05530-460
109.93826.2524.3573.75-547.5
110.2-3.41061e-13-1.95600-600
110.375-17.5-19.45617.5-635
110.812-61.25-63.2661.25-722.5
111.25-105-106.95705-810
111.688-148.75-150.7748.75-897.5
112.125-192.5-194.45792.5-985
112.562-236.25-238.2836.25-1,072.5
113-280-281.95880-1,160
113.438-323.75-325.7923.75-1,247.5
113.875-367.5-369.45967.5-1,335
114.312-411.25-413.21,011.25-1,422.5
114.75-455-456.951,055-1,510
115.188-498.75-500.71,098.75-1,597.5
115.625-542.5-544.451,142.5-1,685
116.062-586.25-588.21,186.25-1,772.5
116.5-630-631.951,230-1,860
116.938-673.75-675.71,273.75-1,947.5
117.375-717.5-719.451,317.5-2,035
117.812-761.25-763.21,361.25-2,122.5
118.25-805-806.951,405-2,210
118.688-848.75-850.71,448.75-2,297.5
119.125-892.5-894.451,492.5-2,385
119.562-936.25-938.21,536.25-2,472.5
120-980-981.951,580-2,560

The failure case

A rally beyond the plotted range keeps worsening the extra short call. Reading only the peak at 105 reverses the real risk story.

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 120.00, before costs?

Reveal the worked answer

$-980.00

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 a limited rise with uncovered upside risk 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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